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      • Images creation is the same as texture, but it must be binded as image to image units. These are equivalent of "texture units".
      • With them you can arbitrarily perform read/write/modify operations using imageStore/imageLoad or atomic operations at some coordinates. Unlike samplers these coordinates are in unsigned integer range.
      • They do not need to be part of framebuffer color attachments to write into them. This is useful and simplify some techniques like injecting data into volume textures and is used in compute shaders. No need to use draw calls with buffer data upload.
      • There is no mipmapping or texture filtering available when doing operation on texture binded as image.
      �

      1, 1, 1, the output value is white. If this represents radiance than the output should be green, because when the signal radiance is the same, the pixel should be perceived as green. Am I correct?

      This is not correct. Your frame buffer most likely contains sRGB values. Of which 1,1,1 is used to represent white. Standard displays do not use spectral radiance values in the frame buffer. sRGB does not map directly or make any guarantees about the spectral power distribution (SPD) of the display. So "G" of 1 does not guarantee some wave with amplitude using W⋅sr−1⋅m−2 centered on the 550nm. Part of the problem is that different type of displays have different SPDs that map to the same perceived color.

      [Evaluation of an organic light-emitting diode display for precise visual stimulation, Ito et. al] (https://jov.arvojournals.org/article.aspx?articleid=2121657) SPDs for different display types

      Now if you want to physically accurate rendering, you could store all of your lighting values as Radiance with SPDs. As L.C. mentioned, Physically Based Rendering describes that this is done with piece-wise linear functions with like 16+ channels per color. However even if you can get this to be performant, good luck converting all your RGB data into SPDs (there's an infinite # of SPDs for a given RGB value).

      Instead what most renderers try to do is to treat the RGB as pseudo-radiance values for the purposes of lighting calculation. This isn't accurate, hence your lighting result changes if you are using Rec.709 or Rec.2020 primaries for instance (if you notice they have different values for mapping to luminance), but it's good enough for real time and even offline in most cases. At this point you can convert RGB Rec709 and Rec2020 values to a single scalar luminance using the Y values of it's primaries.

      The Y values of the RGB primaries for Rec709 are:

          R       G       B
      Y   0.2126  0.7152  0.0722
      

      https://en.wikipedia.org/wiki/SRGB

      Thus Rec709 Linear has the following nits conversion:

      nits = dot(linear709Rgb, float3(0.2126, 0.7152,0.0722));
      

      Probably one of the results of doing our calculations in RGB is that G and B add at equal weights, so it's likely to get some color shifting. There was a presentation at SIGGRAPH 2015 from Weta digital that had some examples, but it doesn't seem like the slides are available. As far as I know they are the only ones using a spectral renderer.

      � ��l)4BB I!) f �@<2< �$P �,#I���ECI�GU�%���"� R#�3R�� $I&$�dH� I�!� I� I2!ɐdH�$�$�$ɐ a�!I�$I2dB�$�$dH�$I�$I2!ÄLB�$� I�0!Ð !I2$C�!I�$�$C� ! l(dH�!Ʉ, !I �> I�!I�$C�!&!C�| I� !I�!I�$�&!I� I� ɐ$I2<�0$ɐ433�7  �`�$�� 4��D �T`�d��t�� � �$�`� (��� ,��� 0� � 4�`� 8��<���@!�Da�H$��L4��PD!�TTa�Xd��\t��`�!�d�a�h���l���p�!�t�a�x��|����"� �b�!�$��"�4��#�D"�$�Tb�%�d��&�t��'��"�(��b�)����*����+��"�,��b�-���.����/�#�0�c�1�$��2�4��3�D#�4�Tc�5�d��6�t��7��#�8�c�9褣�:���;��#�<��c�=���>����?$�@d�A%��B 5��CE$�DUd�Ee��Fu��G �$�H$�d�I(���J,���K0�$�L4�d�M8��N<���O@%�PDe�QH%��RL5��SPE%�TTUe�UXe��V\u��W`�%�Xd�e�Yh���Zl���[p�%�\t�e�]x��^|���_�&�`�f�a�%��b�5��c�E&�d�Uf�e�e��f�u��g��&�h��f�i����j����k��&�l��f�m���n����o�'�p�g�q�%��r�5��s�E'�t�Ug�u�e��v�u��w��'�x�g�y襧�z���{��'�|��g�}'���~����(��h��&��� 6���F(�Vh�f��v�� �(�$�h�(���,���0�(�4�h�8��<���@)�Di�H&��L6��PF)�TVi�Xf��\v��`�)�d�i�h���l���p�)�t�i�x��|��矀*蠄j衈&�袌6�(��[��0,�6�(�
      • G0 Continuity means that the separate surfaces meet,
      • G1 Continuity that the surfaces meet at same angle,
      • G2 Continuity means that the change in angle matches in point of contact.

      The G2 requirement does not mean that the surface is good quality. Just means that without this the surface is not going to have a continuous reflection flow so humans can see the difference. That may or may not be a good thing depends on what you want.

      Mathematically the surface normal is:

      $f(u,v) \frac{\partial}{\partial u} \times f(u,v) \frac{\partial}{\partial v}$

      Since both sides are derived that means that the function field of the surface normal has one degree less than the original surface. So for the reflection to be first degree continuous it has to have a second degree continuity.

      So far we have established the relationship between the continuity of the surface and the continuity of the reflection. Nothing thus far proves that the surface reflection needs to be first degree continuous. To understand why we must exit the realm of mathematics and enter the realm of biology.

      The eye is equipped with an edge detection algorithm on a structural level right on the retina. This edge detection algorithm in essence works as a discrete derivative of the input signal. So, if your surface is not G2 continuous then the human edge detection kicks in and shows itself up. For references read on Mach Bands and so forth.

      Since the edge detection is discrete G2 continuity is not enough. The change has to not only be locally satisfied but also satisfied on the retina. So the change should still be shallow enough not to cause problems.

      �

      I have tried doing glCear(GL_BACK_LEFT) between each iteration but it is not clearing, I'm wondering if I'm missing a line of code before the glClear, or if I'm calling it right. I think the problem is that the back buffer isn't clearing

      This comment of yours sheds some light on the matter. This function call doesn't do what you think it does and is actually wrong usage. The glClear function doesn't actually take the buffer identificator (that you give to glDraw/ReadBuffer) to clear rather than a mask of the general parts of the framebuffer to clear.

      The framebuffer usually consists of one or more color buffers, a possible depth buffer and a possible stencil buffer. Therefore you give glClear an ORed combination of the respective flags GL_COLOR_BUFFER_BIT, GL_DEPTH_BUFFER_BIT and GL_STENCIL_BUFFER_BIT and those buffers (of the currently specified draw buffer for the color buffer) are then cleared.

      So after setting the draw buffer with glDrawBuffer you call glClear to clear that. As said, the flags depend on what you want cleared (usually at least GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT, special algorithms notwithstanding).

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      Using what Rahul kindly suggested in the comments, I realised that my tangent can be rotated;�@opposite direction for two cases:

      1. if dy/dtjwisZ^�isN, so !/overallN�R }0/ol>

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    &�v 5HAnswerslistelementBody������u&��D&�:6�(�
    • Images creation is the same as texture, but it must be binded as image to image units. These are equivalent of "texture units".
    • With them you can arbitrarily perform read/write/modify operations using imageStore/imageLoad or atomic operations at some coordinates. Unlike samplers these coordinates are in unsigned integer range.
    • They do not need to be part of framebuffer color attachments to write into them. This is useful and simplify some techniques like injecting data into volume textures and is used in compute shaders. No need to use draw calls with buffer data upload.
    • There is no mipmapping or texture filtering available when doing operation on texture binded as image.
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    1, 1, 1, the output value is white. If this represents radiance than the output should be green, because when the signal radiance is the same, the pixel should be perceived as green. Am I correct?

    This is not correct. Your frame buffer most likely contains sRGB values. Of which 1,1,1 is used to represent white. Standard displays do not use spectral radiance values in the frame buffer. sRGB does not map directly or make any guarantees about the spectral power distribution (SPD) of the display. So "G" of 1 does not guarantee some wave with amplitude using W⋅sr−1⋅m−2 centered on the 550nm. Part of the problem is that different type of displays have different SPDs that map to the same perceived color.

    [Evaluation of an organic light-emitting diode display for precise visual stimulation, Ito et. al] (https://jov.arvojournals.org/article.aspx?articleid=2121657) SPDs for different display types

    Now if you want to physically accurate rendering, you could store all of your lighting values as Radiance with SPDs. As L.C. mentioned, Physically Based Rendering describes that this is done with piece-wise linear functions with like 16+ channels per color. However even if you can get this to be performant, good luck converting all your RGB data into SPDs (there's an infinite # of SPDs for a given RGB value).

    Instead what most renderers try to do is to treat the RGB as pseudo-radiance values for the purposes of lighting calculation. This isn't accurate, hence your lighting result changes if you are using Rec.709 or Rec.2020 primaries for instance (if you notice they have different values for mapping to luminance), but it's good enough for real time and even offline in most cases. At this point you can convert RGB Rec709 and Rec2020 values to a single scalar luminance using the Y values of it's primaries.

    The Y values of the RGB primaries for Rec709 are:

        R       G       B
    Y   0.2126  0.7152  0.0722
    

    https://en.wikipedia.org/wiki/SRGB

    Thus Rec709 Linear has the following nits conversion:

    nits = dot(linear709Rgb, float3(0.2126, 0.7152,0.0722));
    

    Probably one of the results of doing our calculations in RGB is that G and B add at equal weights, so it's likely to get some color shifting. There was a presentation at SIGGRAPH 2015 from Weta digital that had some examples, but it doesn't seem like the slides are available. As far as I know they are the only ones using a spectral renderer.

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I am very much unsatisfied with your answer.�"*Another problem I have is with Vulkan's claims is how it claims to be better.*" Vulkan does not claim to be anything. It's just an API; it cannot make claims.,�V�JL��+�RGiovanni Restamakrapmw1234RuslanZylbimalkanenPaulHK8Olivier �uJarkkoL Mary ChangXin YANGAd N Mihai Bişog Irongrave Nathan Reedtrichoplax is on Codidact nowzLouis15 �Simon Fjoojaa user3557985CherryBlossom1878!4Mustafa Işık�$RichieSams!ali� FogleBird!>iaomw�,Tom Clabault0Lucas Morganрoah Witherspoon Stefan Werner!xHasmus Rønn Nielsens Dan Hulme!@ Wyck�tTim KuipersJustin Olbrantz! 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    • I have done my due hour of research before asking this question, it's a simple question, but I have found no hint at an answer online.

    I want the ability to extend an object infinitely in one direction, such as a tower that appears infinitely high, or a road infinitely long. I have tried my hardest to think up an approach to this that doesn't cheat, but nothing has come to mind.

    An example, take a textured cube, and have it appear infinitely tiled in one direction, to its vanishing point: enter image description here

    Is there a way of doing this while retaining lighting and bumpmaps so it seamlessly blends with level geometry? Is there any way to do this efficiently?

    Hopefully this isn't a stupid or misplaced question, thanks for your time.

    �

    For a 3D scene in the world coordinates, its View Reference Point $\mathrm{VRP}$ is at $(5,-2,1)$, and a viewer is looking towards point $A=(1,1,1)$. Construct a transform matrix which will map world coordinate points to a right-handed $(UVN)$ viewing space, so that $\mathrm{VRP}$ is the origin, the line joining $\mathrm{VRP}$ to $A$ is the positive $N$ axis, and the view-up Vector is $(0,0,1)$.

    To my knowledge, the final answer should be a single transform matrix. To calculate the final matrix, I first find the matrix which translates the coordinate system to the to the origin in homogeneous matrix form:

    Translation matrix:

    $$ T= \begin{bmatrix} 1 &0 &0 &-5 \\ 0 &1 &0& 2 \\ 0 &0 &1 &-1 \\ 0 &0 &0 &1 \\ \end{bmatrix} $$

    Using the unit vectors of the coordinate axes, the resulting rotation matrix is:

    $$ R= \begin{bmatrix} -0.6 &-0.8 &0 &0 \\ 0 &0 &0 &1 \\ -0.8 &0.6 &0 &0 \\ 0 &0 &0 &1 \\ \end{bmatrix} $$ Then the final matrix (the final answer for full marks) would be the rotation matrix multiplied by the translation matrix:

    $$ M= \begin{bmatrix} -0.6 &-0.8 &0 &1.4 \\ 0 &0 &0 &1 \\ -0.8 &0.6 &0 &5.2 \\ 0 &0 &0 &1 \\ \end{bmatrix} $$ Is my method and final answer correct?


    Following the answer to this question, I have calculated the translation matrix:

    $$ T= \begin{pmatrix} 1 & 0 & 0 & -5 \\ 0 & 1 & 0 & 2 \\ 0 & 0 & 1 & -1 \\ 0 & 0 & 0 & 1 \\ \end{pmatrix} $$

    I have calculated the rotation matrix:

    $$ R= \begin{pmatrix} -0.6 & -0.8 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ -0.8 & 0.6 & 0 & 0 \\ 0 & 0 & 0 & 1 \\ \end{pmatrix} $$

    But what would the final transformation matrix $M$ be? My lecture slides tell me it would be rotation matrix multiplied by translation matrix, with the last column multiplied by $-1$ except for the $1$. This would equal:

    $$ M = R \times T = \begin{pmatrix} -0.6 & -0.8 & 0 & -1.4 \\ 0 & 0 & 1 & 1 \\ -0.8 & 0.6 & 0 & -5.2 \\ 0 & 0 & 0 & 1 \\ \end{pmatrix} $$

    But the answer here just adds them together somehow. Which one is correct?

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    I am using Spherical Harmonics to turn reflective(mirror like) cube map to diffuse light cube map.

    From what I understand for an image, I calculate 9 coefficient(for red green blue) that describes the color of the cube map.

    The nine coefficients are this...

    enter image description here

    And when you visualize them they become...

    enter image description here

    Then I do something with these coefficients to get color of the cube map.

    The part that I am not understanding is using an image to get that 9 coefficients. All the papers kinda assume that you somehow got that coefficient calculated because it is "easy".

    I don't know how to do that calculation.


    Update

    So while I were looking at Spherical Harmonic Lighting | Simon's Tech Blog

    I found this equation... enter image description here

    So now I know that the mysterious yellow part of the equation was "solid angle related". I do know how to do solid angle but I still don't understand how to do it.

    �

    Intro

    I'm trying to render multi-channel images (more than 4 channels, for the purposes of feeding it to a Neural Network). Since OpenGL doesn't support it natively, I have multiple 4-channel render buffers, into which I render a corresponding portion of channels.

    For example, I need multi-channel image of size 512 x 512 x 16, in OpenGL I have 4 render buffers of size 512 x 512 x 4. Now the problem is that the Neural Network expects the data with strides 512 x 512 x 16, i.e. 16 values of channels of one pixel are followed by 16 values of channels from the next pixel. However currently I can efficiently read my 4 render buffers via 4 calls to glReadPixels, basically making the data having strides 4 x 512 x 512 x 4. Manual reordering of data on the client side will not suffice me as it's too slow.

    Main question

    I've got an idea to render to a single 4-channel render buffer of size 512 x 512*4 x 4, because stride-wise it's equivalent to 512 x 512 x 16, we just treat a combination of 4 pixels in a row as a single pixel of 16-channel output image. Let's call it an "interleaved rendering"

    But this requires me to magically adjust my fragment shader, so that every group of consequent 4 fragments would have exactly the same interpolation of vertex attributes. Is there any way to do that?

    This bad illustration with 1 render buffer of 512 x 1024 4-channel image, is an example of how it should be rendered. With that I can in 1 call glReadPixels extract the data with stride 512 x 512 x 8 enter image description here

    EDIT: better pictures What I have now (4 render buffers) enter image description here

    What I want to do natively in OpenGL (this image is done in Python offline) enter image description here

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    After spending a few days mak�very little headway with a simple Raytrac-0program that dments Phong illumination (EPshadows and no attenu!�), I'm convinced I've made a logic error l+Loverlooking.

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    • I have done my due hour of research before asking this question, it's a simple question, but I have found no hint at an answer online.

    I want the ability to extend an object infinitely in one direction, such as a tower that appears infinitely high, or a road infinitely long. I have tried my hardest to think up an approach to this that doesn't cheat, but nothing has come to mind.

    An example, take a textured cube, and have it appear infinitely tiled in one direction, to its vanishing point: enter image description here

    Is there a way of doing this while retaining lighting and bumpmaps so it seamlessly blends with level geometry? Is there any way to do this efficiently?

    Hopefully this isn't a stupid or misplaced question, thanks for your time.

    �

    For a 3D scene in the world coordinates, its View Reference Point $\mathrm{VRP}$ is at $(5,-2,1)$, and a viewer is looking towards point $A=(1,1,1)$. Construct a transform matrix which will map world coordinate points to a right-handed $(UVN)$ viewing space, so that $\mathrm{VRP}$ is the origin, the line joining $\mathrm{VRP}$ to $A$ is the positive $N$ axis, and the view-up Vector is $(0,0,1)$.

    To my knowledge, the final answer should be a single transform matrix. To calculate the final matrix, I first find the matrix which translates the coordinate system to the to the origin in homogeneous matrix form:

    Translation matrix:

    $$ T= \begin{bmatrix} 1 &0 &0 &-5 \\ 0 &1 &0& 2 \\ 0 &0 &1 &-1 \\ 0 &0 &0 &1 \\ \end{bmatrix} $$

    Using the unit vectors of the coordinate axes, the resulting rotation matrix is:

    $$ R= \begin{bmatrix} -0.6 &-0.8 &0 &0 \\ 0 &0 &0 &1 \\ -0.8 &0.6 &0 &0 \\ 0 &0 &0 &1 \\ \end{bmatrix} $$ Then the final matrix (the final answer for full marks) would be the rotation matrix multiplied by the translation matrix:

    $$ M= \begin{bmatrix} -0.6 &-0.8 &0 &1.4 \\ 0 &0 &0 &1 \\ -0.8 &0.6 &0 &5.2 \\ 0 &0 &0 &1 \\ \end{bmatrix} $$ Is my method and final answer correct?


    Following the answer to this question, I have calculated the translation matrix:

    $$ T= \begin{pmatrix} 1 & 0 & 0 & -5 \\ 0 & 1 & 0 & 2 \\ 0 & 0 & 1 & -1 \\ 0 & 0 & 0 & 1 \\ \end{pmatrix} $$

    I have calculated the rotation matrix:

    $$ R= \begin{pmatrix} -0.6 & -0.8 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ -0.8 & 0.6 & 0 & 0 \\ 0 & 0 & 0 & 1 \\ \end{pmatrix} $$

    But what would the final transformation matrix $M$ be? My lecture slides tell me it would be rotation matrix multiplied by translation matrix, with the last column multiplied by $-1$ except for the $1$. This would equal:

    $$ M = R \times T = \begin{pmatrix} -0.6 & -0.8 & 0 & -1.4 \\ 0 & 0 & 1 & 1 \\ -0.8 & 0.6 & 0 & -5.2 \\ 0 & 0 & 0 & 1 \\ \end{pmatrix} $$

    But the answer here just adds them together somehow. Which one is correct?

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After several hours of reading documentation and trying all sorts of approaches, i still can't figure out this (seemingly) very simple task. What would such a vertex & fragment shader pair look like? **Tags:** opengl, shader, fragment-shader > **Comments:** > **username_1**: It sounds like you want to emulate the deprecated [fixed-function pipeline](https://www.khronos.org/opengl/wiki/Fixed_Function_Pipeline) which had things like lights and texturing built-in. Is that correct? (It would be a *lot* of shader code to do so completely, but much less code to emulate a specific configuration of the fixed-function pipeline.) > **username_2**: We don't typically call them "identity" or "no-op" they are instead called "pass through" shaders. They pass data through without modifying it. Unless you are after fix-function results which is something different all together. Please clarify. > **username_0**: @username_1 So the fixed-function pipeline is used if i don't set up any shaders? Doesn't the modern "core" profile disable or at least deprecate that? > **username_1**: That sounds right, but I'm not specifically familiar with OpenGL profiles, so I can't confirm it (I haven’t actually written non-ES OpenGL code in a long time). I would have assumed that having "no shaders defined" is an *error* in that case. So, I'm asking you to clarify your question by specifying which behavior you're trying to achieve more precisely than “the one I get with no shaders”. If you’re getting a useful visual result with no shaders, I'd guess you _are_ using the fixed-function pipeline. --- ## 0 answers ��U� K@���(X����"H�@��� 2h����� B�A���(R�X����0bȘA���8r������@�B���#H�(Y¤��'P�H�B���+X�h�¥��/`ˆC���3hҨYæ��7p�șC���;x���ç��?� D���C�)ZĨ��G�"I�D���K�2i�ĩ��O�B�E���S�R�ZŪ��W�bɚE���[�r��ū��_�� F���cȒ)[Ƭ��gТI�F���kزi�ƭ��o�‰G���s�ҩ[Ǯ��w��ɛG���{����ǯ�� H����*\Ȱ�Ç#J�H��ŋ3j�ȱ�Ǐ C�����S,�6(�# why is reported screen size smaller than display size with GLFW full screen window (Asked by: username_0 on 2021-07-23) I'm using GLFW to create a full screen GL application. I'm running it on my Ubuntu 20.04 laptop that has a typical 1920:1080 display, at least that's the screen resolution reported under Settings->Displays. When I run the following code: ``` int monitor_x = 0; int monitor_y = 0; int monitor_width = 0; int monitor_height = 0; GLFWmonitor *monitor = glfwGetPrimaryMonitor(); glfwGetMonitorWorkarea(monitor, &monitor_x, &monitor_y, &monitor_width, &monitor_height); printf("before monitor %d, %d, %d, %d\n", monitor_x, monitor_y, monitor_width, monitor_height); window = glfwCreateWindow(1920, 1080, "OpenGL", glfwGetPrimaryMonitor(), nullptr); // Fullscreen glfwGetMonitorWorkarea(monitor, &monitor_x, &monitor_y, &monitor_width, &monitor_height); printf("after monitor %d, %d, %d, %d\n", monitor_x, monitor_y, monitor_width, monitor_height); ``` When I run the code, I get the following output on stdout: ``` before monitor 72, 27, 1848, 1053 after monitor 72, 27, 1848, 1053 ``` Also, it seems as if there's a horizontal band at the top and a vertical band at the right of the full screen that remains the background color, no matter what my application attempts to write to those areas. So 72 + 1848 = 1920 and 27 + 1053 = 1080, but it seems that the system is reserving these horizontal and vertical bands for something else that I assume has something to do with that 72 and 27. Is there some hint or some such thing that i need to specify in order to make the entire 1920 by 1080 of the screen available for rendering? Thanks ======================================================= update: So far I've tried this (including your suggestion, username_1, and some from others). ``` GLFWmonitor *monitor = glfwGetPrimaryMonitor(); vid_mode = glfwGetVideoMode(monitor); printf("mode.width %d, mode.height %d\n", vid_mode->width, vid_mode->height); screen_x = vid_mode->width; screen_y = vid_mode->height; // screen_x = 640; screen_y = 480; // screen_x = 1600; screen_y = 900; glfwWindowHint(GLFW_VISIBLE, GLFW_FALSE); glfwWindowHint(GLFW_GREEN_BITS, vid_mode->greenBits); glfwWindowHint(GLFW_BLUE_BITS, vid_mode->blueBits); glfwWindowHint(GLFW_REFRESH_RATE, vid_mode->refreshRate); glfwWindowHint(GLFW_MAXIMIZED, GLFW_TRUE); window = glfwCreateWindow(screen_x, screen_y, window_title, monitor, nullptr); // Fullscreen glfwSetWindowAttrib(window, GLFW_DECORATED, GLFW_FALSE); glfwSetWindowSize(window, screen_x, screen_y); glfwSetWindowPos(window, 0, 0); glfwShowWindow(window); ``` The behavior is the same as reported before. There's these apparently inaccessible bands of screen real estate at the top and on the right side of the screen. But if I uncomment the line where I assign 1600 and 900 to screen\_x and screen\_y, the unaccessible bands disappear. The whole full screen shows the output of my application. **Tags:** opengl --- ## 1 answers ### Answer by username_1 on 2021-07-24. Score: 1 I'm not entirely sure about this case, but at least with some APIs I've worked with, there's a "maximize window" option. The bands that you're having is most likely because the window isn't maximized (isn't fullscreen) and so the computer makes no effort to align it with the edges of your screen. The reason why the window dimensions are funky are probably because, since the window isn't aligned to the edges of your screen, it has to get slimmed down a bit to still fit on your screen. Edit: Ah, found something: GLFW\_MAXIMIZED, set it to GLFW\_TRUE and you'll be set :) > **Comments:** > **username_2**: But passing the monitor to the 4th parameter of `glfwCreateWindow` is supposed to create a fullscreen window - it shouldn't be necessary to maximize it. (And maximize doesn't mean fullscreen anyway - maximized windows still allow room for the taskbar or menu bar, etc.) --- ӔO��# Spine. What is the name of `process? (Asked by: user%�[_0 on 2016-01-11) There is az0 from 1:51, w�|guy start making polygons around%Dbodyparts. I thinks �is  W�F(with later transformations) you can make a single draw like a 3D anima1 LF��$triangles)�q, and�t�`effect available in othert,softver? I'm6n%Xabout mostly maya, spri�dor unity. Ty **Tags:** 3d} �,1ZL --- ## 1 answers# A  byY16$. 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"��"-��L��5 kJ)�A�I� �!�now:���S|�1Ag **Comments:** > **username_1**: Not sure if it solves your problem, but you should always rotate your objects first before moving them to their destination in the scene. Otherwise, the translations get "mixed" into the rotations since rotation matrices always rotate around the origin. Further information can be found [here](https://learnopengl.com/Getting-started/Transformations). > **username_2**: Like @wychamaster said the matrix operations are not commutative wrt multiplication so you get a different result with: translate * rotate then you do with: rotate * translate. To get what you want do a "translate to origin", "then do the rotation", "then translate to position". --- ## 0 answers ��B��y# Invoking shader in DX (Asked by: username_0 on 2017-04-11) So I am new to the DX12 world. I am currently trying to tweek the nbody\_gravity DX12 sample, but appending or call�@another Compute S �which isb,add 2 buffer@produce an output� a di"ent ,t. 1. 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A*�K?~�to� 'i.I1��.i6}�D��� plev8V>"�5�hlF�R} �a�_�L�^�W=(� a�6 z�9-02-1�sS�gI�2X��S�l"�a$`D3D12_ROOp�0GNATURE_DESC`��u}Y�,�:ɴ's��$b�Use&!Q�(!�wo��!�V$� �'�S-s n u�P\_heap�#�O�y50#r�C  simi�E�g}+d�!a�5g-�al6)y�= x12,��F0� 20-�& s 1 Y� ta�NjYR�Ha?��o�bL2�c, a�index�� m9 !e:[A^%�c\u.be/Wbnw87tYqVg?t=754> p7'� ����~he HLSLkc�gn` H�ax�uis�A: �Ajr5277>�F)&F�� 7���!:��ur�nk�s��ts ��e�Te� �� Mit tuL��dQq�!�Gr"��v�20-05-1͇��q lear4"$`�L:q(L�{�=� ula)ph���o�a��a�RK,�0%&�:�*f"���<�UVy|�!\&��aabp��/ ay:� ��(a,* I found that link from this one The rest here is not EXACTLY an answer to your question, because I do not fully understand your question. Do please add more information about how you need to apply this math for more practical answers. While I don't know what the exact equations are, the blend options in Photoshop have been available for a very long time. My guess is that each layer (legacy) blend mode represents a fairly simple mathematical equation. Given what photoshop is and who adobe is and how advanced their functionality has always been I would not be at all surprised if they were writing custom GFX card code way back when. However with the shear amount of GFX card code that was written for very specific hardware for specific engines like DirectX and OpenGL historically(and currently), chances are that they leveraged capabilities that have been directly available in these engines for a long time. My guess is that you can simulate all of the layer blend modes with something like OpenGL's "blendEquation" and "blendFunc", which amounts to modifying how the values between two layers are added together. --- �# "Interleaved rendering" in fragment shader (Asked by: username_0 on 2021-10-13) ### Intro I'm trying to render multi-channel images (more than 4 channels, for the purposes of feeding it to a Neural Network). Since OpenGL doesn't support it natively, I have multiple 4-channel render buffers, into which I render a corresponding portion of channels. For example, I need multi-channel image of size `512 x 512 x 16`, in OpenGL I have 4 render buffers of size `512 x 512 x 4`. Now the problem is that the Neural Network expects the data with strides `512 x 512 x 16`, i.e. 16 values of channels of one pixel are followed by 16 values of channels from the next pixel. However currently I can efficiently read my 4 render buffers via 4 calls to `glReadPixels`, basically making the data having strides `4 x 512 x 512 x 4`. Manual reordering of data on the client side **will not suffice me** as it's too slow. ### Main question I've got an idea to render to a single 4-channel render buffer of size `512 x 512*4 x 4`, because stride-wise it's equivalent to `512 x 512 x 16`, we just treat a combination of 4 pixels in a row as a single pixel of 16-channel output image. Let's call it an "interleaved rendering" But this requires me to magically adjust my fragment shader, so that every group of consequent 4 *fragments* would have exactly the same interpolation of vertex attributes. Is there any way to do that? This bad illustration with 1 render buffer of `512 x 1024` 4-channel image, is an example of how it should be rendered. With that I can in 1 call `glReadPixels` extract the data with stride `512 x 512 x 8` [![enter image description here](https://i.sstatic.net/Py6fX.png)](https://i.sstatic.net/Py6fX.png) EDIT: better pictures What I have now (4 render buffers) [![enter image description here](https://i.sstatic.net/WQeZY.png)](https://i.sstatic.net/WQeZY.png) What I want to do natively in OpenGL (this image is done in Python offline) [![enter image description here](https://i.sstatic.net/n0UaB.png)](https://i.sstatic.net/n0UaB.png) **Tags:** opengl, rendering, efficiency > **Comments:** > **username_1**: Have you looked into 64 bit images? 4 channels of 64 bits would give you the number of channels needed, but it leaves the packing and unpacking of the data up to the shaders/code. But writing a function to pack/unpack the channels shouldn't be to difficult. > **username_0**: @username_1 do you mean making a texture with internal format `GL_RGBA32UI` and pack 4 one-byte values per each component, having a total of 16 values per pixel? I like this idea. But I worry if endianness of OpenGL is universal across versions and hardware > **username_1**: yes, I wouldn't expect byte ordering to be an issue since the code is essentially taking over control of the packing. Also the market is dominated by little endian machines but even if it comes up specializing for machine endianness is just a matter of having the appropriate functions which would be simple to write, especially once there is a functional algorithm. --- ## 0 answers ��#�q�u# Heirarchy in Euler rotations (Asked by: username_0 on 2018-02-06) Why is there necessarily a hierarV_�F? 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But his eye is a separate�(. If I want�join i 0gether I need8add extra edgesTthe whole model that o8(wise aren'tA�Fed. [![enter image description here](https://i.sstatic.net/GKVMo.jpg)]�"h For this particular game,�Leyes, mouth etc does�$ any anima�$. My ques is,�Ere *dvanta- find!�a way!%J!!(eye hemi-sp� face%�, or is!vfine jus!� leavelikx8is? Thanks for��help **Tags:** texture, uv-mapping� **Comment,U�1**: Hi,]�. 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I'm running it on my Ubuntu 20.04 laptop that has a typical 1920:1080 display, at least that's the screen resolution reported under Settings->Displays. When I run the following code: ``` int monitor_x = 0; int monitor_y = 0; int monitor_width = 0; int monitor_height = 0; GLFWmonitor *monitor = glfwGetPrimaryMonitor(); glfwGetMonitorWorkarea(monitor, &monitor_x, &monitor_y, &monitor_width, &monitor_height); printf("before monitor %d, %d, %d, %d\n", monitor_x, monitor_y, monitor_width, monitor_height); window = glfwCreateWindow(1920, 1080, "OpenGL", glfwGetPrimaryMonitor(), nullptr); // Fullscreen glfwGetMonitorWorkarea(monitor, &monitor_x, &monitor_y, &monitor_width, &monitor_height); printf("after monitor %d, %d, %d, %d\n", monitor_x, monitor_y, monitor_width, monitor_height); ``` When I run the code, I get the following output on stdout: ``` before monitor 72, 27, 1848, 1053 after monitor 72, 27, 1848, 1053 ``` Also, it seems as if there's a horizontal band at the top and a vertical band at the right of the full screen that remains the background color, no matter what my application attempts to write to those areas. So 72 + 1848 = 1920 and 27 + 1053 = 1080, but it seems that the system is reserving these horizontal and vertical bands for something else that I assume has something to do with that 72 and 27. Is there some hint or some such thing that i need to specify in order to make the entire 1920 by 1080 of the screen available for rendering? Thanks ======================================================= update: So far I've tried this (including your suggestion, username_1, and some from others). ``` GLFWmonitor *monitor = glfwGetPrimaryMonitor(); vid_mode = glfwGetVideoMode(monitor); printf("mode.width %d, mode.height %d\n", vid_mode->width, vid_mode->height); screen_x = vid_mode->width; screen_y = vid_mode->height; // screen_x = 640; screen_y = 480; // screen_x = 1600; screen_y = 900; glfwWindowHint(GLFW_VISIBLE, GLFW_FALSE); glfwWindowHint(GLFW_GREEN_BITS, vid_mode->greenBits); glfwWindowHint(GLFW_BLUE_BITS, vid_mode->blueBits); glfwWindowHint(GLFW_REFRESH_RATE, vid_mode->refreshRate); glfwWindowHint(GLFW_MAXIMIZED, GLFW_TRUE); window = glfwCreateWindow(screen_x, screen_y, window_title, monitor, nullptr); // Fullscreen glfwSetWindowAttrib(window, GLFW_DECORATED, GLFW_FALSE); glfwSetWindowSize(window, screen_x, screen_y); glfwSetWindowPos(window, 0, 0); glfwShowWindow(window); ``` The behavior is the same as reported before. There's these apparently inaccessible bands of screen real estate at the top and on the right side of the screen. But if I uncomment the line where I assign 1600 and 900 to screen\_x and screen\_y, the unaccessible bands disappear. The whole full screen shows the output of my application. **Tags:** opengl --- ## 1 answers ### Answer by username_1 on 2021-07-24. Score: 1 I'm not entirely sure about this case, but at least with some APIs I've worked with, there's a "maximize window" option. The bands that you're having is most likely because the window isn't maximized (isn't fullscreen) and so the computer makes no effort to align it with the edges of your screen. The reason why the window dimensions are funky are probably because, since the window isn't aligned to the edges of your screen, it has to get slimmed down a bit to still fit on your screen. Edit: Ah, found something: GLFW\_MAXIMIZED, set it to GLFW\_TRUE and you'll be set :) > **Comments:** > **username_2**: But passing the monitor to the 4th parameter of `glfwCreateWindow` is supposed to create a fullscreen window - it shouldn't be necessary to maximize it. (And maximize doesn't mean fullscreen anyway - maximized windows still allow room for the taskbar or menu bar, etc.) --- �# "Identity" or "no-op" GLSL shader program (Asked by: username_0 on 2024-11-24) I'm trying to write a simple shader program (one vertex shader and one fragment shader) that gives the same result as if no shaders were defined. After several hours of reading documentation and trying all sorts of approaches, i still can't figure out this (seemingly) very simple task. What would such a vertex & fragment shader pair look like? **Tags:** opengl, shader, fragment-shader > **Comments:** > **username_1**: It sounds like you want to emulate the deprecated [fixed-function pipeline](https://www.khronos.org/opengl/wiki/Fixed_Function_Pipeline) which had things like lights and texturing built-in. Is that correct? (It would be a *lot* of shader code to do so completely, but much less code to emulate a specific configuration of the fixed-function pipeline.) > **username_2**: We don't typically call them "identity" or "no-op" they are instead called "pass through" shaders. They pass data through without modifying it. Unless you are after fix-function results which is something different all together. Please clarify. > **username_0**: @username_1 So the fixed-function pipeline is used if i don't set up any shaders? Doesn't the modern "core" profile disable or at least deprecate that? > **username_1**: That sounds right, but I'm not specifically familiar with OpenGL profiles, so I can't confirm it (I haven’t actually written non-ES OpenGL code in a long time). I would have assumed that having "no shaders defined" is an *error* in that case. So, I'm asking you to clarify your question by specifying which behavior you're trying to achieve more precisely than “the one I get with no shaders”. If you’re getting a useful visual result with no shaders, I'd guess you _are_ using the fixed-function pipeline. --- ## 0 answers <�D�#L��"!�` f � � � �! �& ?' y � w H_% % �  ) Y K* �( g � P!    �7 8�  1 3 � � X � (] �� �� � �[-(� Pn � � � � � � �-x� P�-P� p[ ��# 0 ��-p^/  � 0� �-�5 (< �-�-p:+ � � ��4 r �� � ($0 @6 4 v& �-�� 9-( P (? � 8 �� s X�- 5-�r �� 0o-X�-h�  �� �� `� � '� � � � � � � � � � � H M i p X� � -� -`\ (l � \ � � (� � K G � � � q �-0 ��-`W-�l ? 1]-P-x(M�C -� /> W e m � `� 9 �{-� )ZM�� �Q � e �� P� �M�m`jMh�M�U (e 9 ��m(�  m0� (� �M� �wm^ ��-8� p� < 0� b �p  � � � �Mm $ '-8� �� x�-�o q  ( ; `��X+ �_ �m���p2 @���mh MX?-h� �,-(� n �� 0� XP �� (ō`� 0� �8 ��-(�0�)� @$M � ��m�� � �E 8M� 0q�� ��M(hM��" y�mPY X� r �-�! �-8� P�  ����6 0� g�-, �m0) �M�(  x-0/ �MP� � �7-�� �u ,-�� �� � P�Mp  � �  h� x� � p�-h�$ ��-�Q �$ �m��-��Mxq H� t�|-=-�S K �2 p�Mx� �@ �$ (8 �M0c 0� � �MX8  & �MX�� ! � �� � � p�-Ѝ@ +   � � | � p�m�a d  M��) 1M��-; � -0 p� @ ���_ `4 � ��-�� �  0+M�-� � `� kmx��-��  H3 % � X�-� �2 X �-�M�� ��m �-�-0� �M��M� �M� m� �iM�� hZ 0� @�M � �� ' ��� �? �� c U  (� �m@��0Em� � ��-`�m�� � ��M(��0u �M -�(�`]-km�� @�-� �  hY-� � @�X|-��-�� X, �� 0� b��q-X�iK-(* �� (�-H� (� g-Hc��� 0� �� 4 X -��  ��-`�mp� �j ( (~-{m%MX� (1 0 �z ��MXX � P�-�� x=MxHmc-�  �Z �� � �MM � --`N)_�-�� p�-�3 I-��-MHPMH�m� 8 �, T  � �L �� �#-� �� 0� �-�UMPR �< -�# �MX�- � xJ H�  (f b �-@" �� �u-�C-H�-�m�� �-@֍P�-� HK 84 �g-P �OM@�M8�-� �C-��-8 hx ��-�� � �-�� H�2 p� _ Z F �� �� � ` P^-(�-<��$� � ,��7�(�7��A�8�<��1��1�g=5���3��>��/��-���FԽ|�L5�h�8�,x����Wp0�҇�6�;�ܽߔ+%@'Sd1v4�t�(��~;{�'J�����g�Y��=  �`�$�� 4��D �T`�d��t�� � �$�`� (��� ,��� 0� � 4�`� 8��<���@!�Da�H$��L4��PD!�TTa�Xd��\t��`�!�d�a�h���l���p�!�t�a�x��|����"� �b�!�$��"�4��#�D"�$�Tb�%�d��&�t��'��"�(��b�)����*����+��"�,��b�-���.����/�#�0�c�1�$��2�4��3�D#�4�Tc�5�d��6�t��7��#�8�c�9褣�:���;��#�<��c�=���>����?$�@d�A%��B 5��CE$�DUd�Ee��Fu��G �$�H$�d�I(���J,���K0�$�L4�d�M8��N<���O@%�PDe�QH%��RL5��SPE%�TTUe�UXe��V\u��W`�%�Xd�e�Yh���Zl���[p�%�\t�e�]x��^|���_�&�`�f�a�%��b�5��c�E&�d�Uf�e�e��f�u��g��&�h��f�i����j����k��&�l��f�m���n����o�'�p�g�q�%��r�5��s�E'�t�Ug�u�e��v�u��w��'�x�g�y襧�z���{��'�|��g�} ���~����(��h��&��� 6���F(�Vh�f��v�� �(�$�&���5AcceptedAnswerId��S�1&���&����7�(�7,pJL8    <��,�(����    I�I� B$!@4@ � �H"A�B�EA$(I"ȂdA4@4 d2�� `D�x��@B�$@�@ � �"P$�$@ A  "B�(�@@ 0��B�@$�R � � @;$ �$@�$��@�H($�  � � 0 0$(�  �/ ��� � $Ą@$@  ��@ @@��@��&���5 AnswerCount���&���&���(,�Ӊ��GL� ��D��

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          Sphere(1e5, Vec(50,40.8,-1e5+170), Vec(),Vec(),           DIFF),//Frnt
          

          The sphere with index 3 would intersect each ray if the ray origin would not be shifted forward.

          You can easily verify this by returning surface normals from the radiance and not shifting the ray origin. (or just remove this one sphere). It also will look like a tunnel behind the camera ;)

          �

          Dynamic, adjective:

          1: pertaining to or characterized by energy or effective action; vigorously active or forceful; energetic:

          ...

          4: of or relating to the range of volume of musical sound.

          HDR allows you to deal with high light energies. And such high energies could be characterized as being "vigorously active or forceful; energetic".

          But I think the fourth definition is more suitable. Graphics and rendering are forms of signal processing, much like sound. So they share a lot in common. For example, the term "aliasing" originated in digital conversion of sound.

          "High light energies" are the visual equivalent of "volume" in sound. So the "dynamic range" that you can record, the "range of volume" is high, as opposed to low.

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          for (i = 0, i < 3, ++i)
              glTexCoord3d(texturePoint[i].x, texturePoint[i].y, 0);
              glVertex3d(v[i]->x(), v[i]->y(), v[i]->z());
          

          This code calls glTexCoord3d three times and glVertex3d only once. You need more braces around your for loop.

          �

          (Is gouraud shading even supposed to be perspective correct?)

          Originally, it wouldn't have been perspective correct, but on (hardware) systems these days it will be. FWIW Dreamcast had perspective correct Gouraud shading because, once you are doing perspective correct texturing, it is relatively little additional cost to do Gouraud "correctly".

          I have flat shading working and I have perspective correct texture mapping working. Is the way your raster Gouraud shading much different from the perspective correct texture mapping?

          I'm assuming that you've started with homogeneous 'world space' vertices, i.e. something like,

          $[x,y,z, 1, u,v, R,G,B]$,

          applied a projection matrix to get

          $[X_p, Y_p, Z_p, 1, u, v, R, G, B, w]$,

          and then, after clipping, divided through by w to obtain screen coordinates

          $[X_p/w, Y_p/w, Z_p/w, 1/w, u/w, v/w, R/w,... ]$.

          For convenience, let's rename $u/w$ and $v/w$ as $u'$ & $v'$, $1/w$ as $w'$, $R/w$ as $R'$ etc.

          To do perspective correct texturing I assume you are linearly interpolating, per pixel, the $u'$, $v'$, and $w'$ values, computing the reciprocal of the interpolated $w'$ and multiplying that by $u'$ and $v'$ to obtain the per-pixel U & V coordinates.

          To do perspective correct Gouraud, simply use the same approach with the interpolated $R'$ , $G'$ and $B'$ values. The most expensive part is typically the division (i.e. reciprocal) but that can be shared with the texturing.

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          I had the same issue bit ago.

          Short answer - you need to include #define GLM_FORCE_DEPTH_ZERO_TO_ONE before you import glm.

          Long Answer -

          In the t )H series, we set �re> �dviewport.minDepth = 0.0f; ax1 Unless you1/< the macro, when create a {tglm::ortho(2.0f*-aspectRatio, 2- , -�, time/ ) �,z4constructor de!��d in glm\ext\matrix_clip_space.inl as ->x template<typename T> TGLM_FUNC_QUALIFIER mat-4, 4, T,�aultp4 �4T left, T righ bottomtopzNear Far)m{ #t ifz(CONFIG_CLIP TROL == _LH_ZOCreturn �( �r ��� ��;�elƅNr�N����Rr � � RHn ƅ ndif%�}F�his called and it will choosi�,last branch,F?8RH_NO

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    This code calls glTexCoord3d three times and glVertex3d only once. You need more braces around your for loop.

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    (Is gouraud shading even supposed to be perspective correct?)

    Originally, it wouldn't have been perspective correct, but on (hardware) systems these days it will be. FWIW Dreamcast had perspective correct Gouraud shading because, once you are doing perspective correct texturing, it is relatively little additional cost to do Gouraud "correctly".

    I have flat shading working and I have perspective correct texture mapping working. Is the way your raster Gouraud shading much different from the perspective correct texture mapping?

    I'm assuming that you've started with homogeneous 'world space' vertices, i.e. something like,

    $[x,y,z, 1, u,v, R,G,B]$,

    applied a projection matrix to get

    $[X_p, Y_p, Z_p, 1, u, v, R, G, B, w]$,

    and then, after clipping, divided through by w to obtain screen coordinates

    $[X_p/w, Y_p/w, Z_p/w, 1/w, u/w, v/w, R/w,... ]$.

    For convenience, let's rename $u/w$ and $v/w$ as $u'$ & $v'$, $1/w$ as $w'$, $R/w$ as $R'$ etc.

    To do perspective correct texturing I assume you are linearly interpolating, per pixel, the $u'$, $v'$, and $w'$ values, computing the reciprocal of the interpolated $w'$ and multiplying that by $u'$ and $v'$ to obtain the per-pixel U & V coordinates.

    To do perspective correct Gouraud, simply use the same approach with the interpolated $R'$ , $G'$ and $B'$ values. The most expensive part is typically the division (i.e. reciprocal) but that can be shared with the texturing.

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The disadvantage is that it bakes in D65, so you can’t specify an arbitrary SPD for each light source, only change the RGB components of the result (which is basically doing the white-balance step I mentioned) and so you don't have control over the behavior within the scene of the full spectrum.�" The xyz Euler angles can be converted to matrices so that it can be used in the rotation. That is where something called rotation order comes in " cleared my confusion. 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U�B�P�4�!u�CQ�D4"��D'BQ�T�"��E/�Q�d4#��F7�Q�t�#��G?R��4$"�HGBR���$&5�IO�R��4%*U�JW�R���%.u�K_S��4&2��LgBS�Դ&6��Mo�S��4':��Nw�S���'>��OT�5(B�P�BT��(F5�Q��T�$5)JU�R��T�4�)Nu�S�U�D5*R��T�BU�T�*V��U��U�d5+Z��V��U�t�+^��W�V��5,b�X�BV���,f5�YςV��5-jU�Z��V���-nu�[�W��5.r��\�BW�Ե.v��]�W��5/z��^��W���/~��_�X�60��`CX��0�5�a�X�$61�U�b�X�4�1�u�cY�D62���d'CY�T�2���e/�Y�d63���f7�Y�t�3���g?ZЄ64��hGCZҔ�4�5�iO�ZԤ65�U�jW�Zִ�5�u�k_[��66���lgC[�Զ6���mo�[��67���nw�[���7���o\�78��p�C\��8�5�q��\�$79�U�r��\�4�9�u�s�]�D7:ҕ�t�C]�T�:ֵ�u��]�d7;���v��]�t�;���w�^��7<��x�C^�<�5�yσ^��7=�U�z��^���=�u�{�_��7>��|�C_�Է>���}o�_��7?���~��_���?����`8@ЀD`�@6Ё�`%8A VЂ�`5�AvЃaE8B�Є'Da U�B�Ѕ/�a e8C�І7�au�C�Ї?b�8D"шGDb��D&6щO�b�8E*VъW�b��E.vы_c�8F2�ьgDcոF6�эo�c�8G:�юw�c��G>�яd 9HBҐ�Dd"�HF6ґ��d$%9IJVҒ��d&5�INvғ�e(E9JR�Ҕ�De*U�JV�ҕ��e,e9KZ�Җ��e.u�K^�җ�f0�9LbӘ�Df2��Lf6әτf4�9MjVӚ��f6��Mnvӛ�g8�9Nr�Ӝ�Dg:չNv�ӝ�g<�9Oz�Ӟ��g>��O~�ӟ�h@:P�ԠEhB�P�6ԡ�hD%:Q�VԢ�hF5�Q�vԣiHE:R��Ԥ'EiJU�R��ԥ/�iLe:S��Ԧ7�iNu�S��ԧ?jP�:T�ըGEjR��T�6թO�jT�:U�VժW�jV��U�vի_kX�:V��լgEkZպV��խo�k\�:W��ծw�k^��W��կl`;X�ְ�Elb�X�6ֱ��ld%;Y�Vֲ��lf5�Y�vֳ�mh&�� 5xAnswerslistelementCommentslistelementText�!��)��&���&���6� (�“a function to convert directly from wavelength to RGB” — That function is just combining the two operations “determine the intensity of D65 at that wavelength” and “find the RGB representation of this color of monochromatic light”. That’s a reasonable thing to do since they both depend on wavelength. The disadvantage is that it bakes in D65, so you can’t specify an arbitrary SPD for each light source, only change the RGB components of the result (which is basically doing the white-balance step I mentioned) and so you don't have control over the behavior within the scene of the full spectrum.�" The xyz Euler angles can be converted to matrices so that it can be used in the rotation. That is where something called rotation order comes in " cleared my confusion. Thanks.,�E�=L��"�UrussSebastián MestreMakogan Nicol Bolas Dan Hulme lightxbulbgilgamec wychmasterNoah Witherspoonlfgtm Nathan Reedxer-rexpmw1234Criticize SE actions means banPaulHKbram0101nrofis ratchet freak Christian_BTudvarimdkdyRaxvandefault user1118321Dan Scott MilnerMatthiasMichael SohnenS. M. 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" rel="nofollow noreferrer">Sandcastle

          Is this a problem with the fragment shader, or it’s something related to the shadowMap itself? Any hints as to where I could fine tune this behavior?

          I'm using the latest stable version of Chrome and have a decent GPU.

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          But this is what I get in the graphics debugger when it was suppossed to be a sphere. I can confirm that the data in vertices is correct.

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      I also get a similar issue when trying to pass in a 3x3 matrix to the compute kernel. It complains that 36 bytes are provided but expecting 48.

      �\Anyone got any ideas on ni�d?

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      this is my first post on the Computer Graphics Stackexchange forum. Apologies in advance if I am doing something wrong.

      I have the problem that I have a scene with overlapping geometries. To be more precise, my scene is a Cornell Box, where the ceiling and the area light are quads that are lying in the same plane, e.g. are having the same height value:

      enter image description here

      This image is rendered by our "home renderer" and I am working on the integration of Intel's Embree framework into it, to accelerate the ray casting process.

      When I render the scene with the help of Embree, it looks like this:

      enter image description here

      (There is nothing wrong with Embree itself, but probably with what I am doing with it) What is immediately visible is that the ceiling looks more "grainy" or noisy and that pixels in the area light have the colour of the ceiling.

      I strongly believe that this has something to do with the fact that the ceiling and the area light are lying in the same plane. So my question is: when such overlapping geometries are intersected with a ray, how does one choose which of the two geometries should be prioritized?

      I did a short experiment in Blender with two cubes with different materials: enter image description here

      Then I moved the green cube "into" the red one, meaning I assigned the same position, such that the two cubes are overlapping.

      This is what the Cycles renderer gave me: enter image description here

      Does anyone know what is going on? How can I handle the situation of overlapping geometry in my ray tracer? Many thanks in advance for your help and support. Have a nice Weekend!

      Kind regards Sebastian

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      module initial(letter, size) {
        linear_extrude(height=size*4, center=true) {
          text(letter, size=size, halign="center", valign="center", font=font);
        }
      }
      

      I'm using this module to generate very tall letters that I then cut out of other shapes using "difference".

      This works well for some letters (like M), but leaves detached pieces floating in the middle for letters like "O" or "A".

      I'd like to know how to get just the outline of the letter without changing the shape of that outline the way the "hull" function would.

      �

      Introduction

      For those familiar with smallpt by Kevin Beason:
      In path tracing, when rays hit a surface, they are scattered and the theta angle (the angle between the normal to the surface and the scattered ray) depends on a probability density function. For cosine importance sampling, this probability depends on cos(theta). This is the case implemented in the basic smallpt. Multiple rays should be scattered for each hitting point, and their contribution needs to be calculated to return the color value of the specific pixel.

      enter image description here

      Problem

      Looking at how rays are scattered, this doesn't actually happen in the smallpt code. Multiple rays per pixel are shot at slightly different positions. That means, they don't always land in the same spot on the surface. For this reason, the image posted above does not represent what is happening. Indeed, it is not true that multiple rays are scattered FROM EVERY HITTING POINT, but multiple rays are shot for each pixel. Is my interpretation correct?

      ������

      Apologies if this is a dumb question... but given four arbitrary (non-coplanar) points in 3D space, there are obviously two different ways to triangulate the quad that they form. One triangulation may produce much more natural results than the other- but how can I determine which one to pick?

      Context: I’m doing Dual Contouring, and the quad forms part of an isosurface. I have access to �`hermite/gradient data at %p!`.

      $%�DI want to retrieve 2/8has created by `4compute shader%��Ihave no clue how it works. After researching a few forums and articles on =shouldD#QYHwhat I came up with �,

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          }

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          module initial(letter, size) {
            linear_extrude(height=size*4, center=true) {
              text(letter, size=size, halign="center", valign="center", font=font);
            }
          }
          

          I'm using this module to generate very tall letters that I then cut out of other shapes using "difference".

          This works well for some letters (like M), but leaves detached pieces floating in the middle for letters like "O" or "A".

          I'd like to know how to get just the outline of the letter without changing the shape of that outline the way the "hull" function would.

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Then you set the isosurface’s isovalue to suit your taste. Do you know the basics of fractal geometry?�"*All vertices within my other geometry need all 200 of these struct elements.*" This does not sound like a thing that is *ever* going to be fast. Each VS invocation would be reading upwards of 24*200 bytes of data. 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Herev� main_Lmy shader. ``` void,(){ vec3�XDir = normalize( vDirec�);+h2 bounds = hitBox( vOrigin,E); . if ( . .x > y ) -� ) R.x = max4, 0.0O�p =p +9* |�D3 inc = 1.0 / abs( "O�(float deltawin(2 .x,  y,z )5d//= steps �for ( Pt =�; t <y+= B) {)# �T = sample1( p/scaleVec  + 0.5�bool con70d > threshold) flip ? !: �%� �hcolor.rgb = texture2D(cmap,!�2(d!�5))$u ;!W1.lbreak.}9p!raE�*)' < % �� a ==I]I}I� WaOisecorA� wayaQbe able ip,this while aa�seeing;sB`@? **Tags:** glsl� dree.js --- ## 1 answers# A � by username_0 on 2024-03-01. Score: 2 | Accepted E, I was over�nk�,it. Insteada�mM , I need�ljust let�Tray keep marching. ad8 �!bp.x < xS��r.x�# V� continue%�1�T��top���a)$loop fixed �T[![enter image descrip�t�here](https://i.sstatic.net/ZOUmh.png)]�" --- ��,�6(�# why doesn't a ray hitting a sphere at only 1 point count as a hit in sphere/ray intersection? (Asked by: username_0 on 2018-10-07) To give context to the question, I am reading Peter Shirley's Ray Tracing in one weekend. In his code for sphere/ray intersection, when the quadratic formula returns only 1 solution, he discards it, which strikes me as odd. Is there any graphics theory that support it or is it just his personal preference? Here is the link to the code I am talking about on github. **Tags:** raytracing --- ## 1 answers ### Answer by username_1 on 2018-10-07. Score: 6 | Accepted answer It is mainly personal preference, but it does have some logic behind it which would make it a better option. It should not have any big impact on your final image, though. When the discriminant is 0, then that means that there is only one solution. For a sphere, when there is only one solution, that means that the ray is tangent to the sphere. When a line or ray is tangent to a sphere, that means that there is a 90° angle between the line/ray and the normal of the sphere at the intersection. When comparing that situation to ray-triangle and ray-plane intersections, they always ignore the hit when it has an angle of 90° with the normal. This is because the ray would then not really be able to hit it, and in real life you cannot see an infinitely thin plane or triangle that is perfectly parallel to your viewing direction. Discarding hits when the angle is 90° could also help with shading. Depending on the shader, a 90° angle might always return black or start giving funky results, while when the angle is less than 90° it is just perfectly fine. Also as @Rahul has said, if you would calculate a reflected ray, it would end up in the same direction as your original ray and with most shaders that reflection ray would contribute to 100% of the ray's colour and not be coloured, so it would give the exact same colour as if you just discarded the ray. The thing that makes this basically personal preference, is the fact that it would practically not happen that a ray would hit the sphere perfectly tangent, in an average render engine (as Rahul has also said). When looking at a sphere from a certain point, there would be a single circle with an infinitely small thickness that could create the occurrence of the discriminant being 0. In short, it basically does not matter a single bit if you discard those hits or not. --- ��C� G@���(X����"H�@��� 2h����� B�A���(R�X����0bȘA���8r������@�B���#H�(Y¤��'P�H�B���+X�h�¥��/`ˆC���3hҨYæ��7p�șC���;x���ç��?� D���C�)ZĨ��G�"I�D���K�2i�ĩ��O�B�E���S�R�ZŪ��W�bɚE���[�r��ū��_�� F���cȒ)[Ƭ��gТI�F���kزi�ƭ��o�‰G���s�ҩ[Ǯ��w��ɛG���{����ǯ�� H����*\Ȱ�Ç#J��އ��G,�6(�# using parts of GL_TEXTURE_2D_ARRAY as GL_TEXTURE_CUBEMAP_ARRAY (Asked by: username_0 on 2022-03-22) I am using layered rendering for all my light sources to avoid rendering multiple times. I have `lightSourceCount` many point lights and one sun, which is implemented as an orthographic light source (due to the large distance). The sun light should be implemented as cascaded shadow mapping (4 cascades), because I would like to render landscapes. The shadowmap resolution and format of the point lights and the cascaded shadow maps are equal. Is it possible to define a GL\_TEXTURE\_2D\_ARRAY with (`lightSourceCount` \* 6 + 4) layers as shadow maps. Render the scenario using layered rendering to fill these shadow maps. And afterwards use the first `lightSourceCount` \* 6 layeres as a GL\_TEXTURE\_CUBEMAP\_ARRAY with `lightSourceCount` layers within GLSL to be able to use `gvec4 texture(gsamplerCubeArray sampler, vec4 P, [float bias]);` while the last 4 layers are able to be used with `gvec4 texture(gsampler2DArray sampler, vec3 P, [float bias]);`? If yes, how can I do that? Can I just bind the GL\_TEXTURE\_2D\_ARRAY as a GL\_TEXTURE\_CUBEMAP\_ARRAY? And use the last 4 layers by binding the same Texture as GL\_TEXTURE\_2D\_ARRAY and access the last 4 layers by using `texture(gsampler2DArray sampler, vec3(uvCoordinate, lightSourceCount * 6 + currentTexture))`? **Tags:** opengl, texture, glsl --- ## 1 answers ### Answer by username_1 on 2022-03-22. Score: 3 | Accepted answer You can use [view textures](https://www.khronos.org/opengl/wiki/Texture_Storage#Texture_views) to accomplish what you're talking about. You create a 2D array texture and give it the number of layers you want. This is the base texture. You can then construct two restricted views of the base texture. The first is a cubemap array texture using layers 0 to `lightSourceCount * 6`. The second is a 2D array texture using layers `lightSourceCount * 6` to `lightSourceCount * 6 + 4`. --- ��C��D# Two-dimensional bounded area defined parametrically (Asked by: username_0 on 2015-09-13) How do I go about defining this area withtusing a piecewise function? 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(n�l��okix+TWal���"�.:r� re[����1% *+�&�v�� feedt��z�CE�s.�s�t? � ��o�)�3+.�:a3h�5n8 am using the d��e boors algorithm to generate B splines in python. However I am getting spikes in the final figure. I do not understand why this happens. I am posting my code here for reference ``` def knot_values(n,k): t = np.zeros((1,n+k+1)) for i�0range(0,n+k+1= if i=k and i<=nj9i-k+1F=n3n-k+2 4$return t !basis_)�(u,t,i,k �if k==1�if u>=��u< +1](sol = � elseR#) 6a = (u -10)*N�-1) � b = -+k-1];"cT �+k!uNV+1,2XdX5 A1]� _if�= 06�temp12�6�$a/b1� Pd VP2�P$c/d_T)�(p) + 2) !MsolIcurve_m�0or(n,k,ctrl_x y): 9t = kn6J%print(t u = np.ai5%G!�, ,n+1],0.001);;@length = u.shape; kx Ezerosa� ' [0]) 8yn!Zfor i6�.�j.c:9�xa�ja� +:N [j],iQ*)9[i] �yD ~DyD�-�x,y-�n = 6k = 3 y)\array([0,3,6,9,10,12,15])�*-@*$4,2,3,7,8,'R [x,y��  0�x)�@a�[0]*n[1i�a�2!�6�[1]��a�B%wi Db %Ji] },plt.plot(a,b �show()��F [![enter image description here](https://i.sstatic.net/5ag7U.jpg)](httr"H **Tags:** bezier-%>,)EL, nurbs > **Comment,�username_1**: Don't post the same quest�again�~4add new detail�(nstead, use9**edit��utton when necessary. --- ## 1 answers ### Answer byL ��2 on 2018-05-17. 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) Is this a problem with the fragment shader, or it’s something related to the shadowMap itself? Any hints as to where I could fine tune this behavior? I'm using the latest stable version of Chrome and have a decent GPU. **Tags:** shadow-mapping > **Comments:** > **username_1**: Wh&nKdepthx,�' clamp&5toVM�.�+�%lSy�(�ka5�'f�3: �(P"Ԙ.o=f/�0/��us-_03;F/nDotL=��2BEC,& �(EC),0.,1.);Z +  +M< �resDG�(N<\Tpro�ionr r15-11-25��.�Q�(B@c�_Um���6,2�*%XNOAA'�@� S_�c/Uej>at,+2�HD7)*)�-�p�8 *Hl�*b3o�0�S7s�6��vic�H��+�+q�+ mui���5�de���A6�%`hr�pS��1�)�)ot etc.�~ ,�K�-gg-�+�<n�J e asonԞ"�=s�;f-�/ E-S��7guidehPj,��|�1%/descri}�i�+��s �war(3"+��� seamT9)_ pret*qelsfX!K\�,�B,,mw��!Eh,2+ ��:u.&q�j�/e=rE;-on C2{Tami�pluginI� Adob09AE�.�,'zM. 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M�V ^P� "�x��`���W syncizZ (�v%A��!l ����n �� an�,%�� A�� "�)��XM%A� adv�aD!�4P�;bO�a!8ma�GPU8A�a���.�� ��4 m;0~ �&-g�x:�6� %n io$b� � TL�&;,�;cɧE �Ts "92Z ]�mkGLI��A icitB�an�c1P�u���"%P-B|n^P�O)N)$. --- ��ޙK,�6(�# want bokeh blur with custom shapes (Asked by: username_0 on 2023-03-18) I have a 2d texture and a shape matte, the matte could be any shape, like a star, heart, and so on, and I want to use this matte to generate different-shaped bokeh blur, how can I do it? and normally, creating bokeh blur needs iterations, how to cope with the efficiency problem. hopefully, realize it in glsl **Tags:** glsl > **Comments:** > **username_1**: One approach is to use the stencil buffer to mask out the areas to keep in focus. This allows a variety of shapes to be used at once, they can move, etc. > **username_0**: any detailed code? i'm still a little confused... --- ## 1 answers ### Answer by username_1 on 2023-03-20. Score: 0 Here is a basic implementation for a rasterized scene. 1. Bind and write the depth buffer as usual. 2. Bind and write the stencil buffer with the shapes that need to be masked out. A simple 1 or 0 will do here. 3. Generate the color buffer 4. Run the bokeh filter as a full screen quad post processing effect. The order here isn't terribly important the only step dependent on the other 3 is doing the actual blur. In the fragment shader: 1. read the stencil and color buffers. If the stencil value is 1 return the unmodified color. 2. read the depth buffer. 3. Run the blur kernel. --- Here is a basic fragment shader implementation: uBlurRadius is a uniform passed in to set the blur kernel size and uResolution is the width and height of the color buffer. ``` float stencil = texture(stencilBuffer, uv).r; if (stencil == 1.0) { // Keep the pixel in focus. gl_FragColor = texture(colorBuffer, uv); return; } // Compute the depth of field mask. float focusDepth = texture( depthBuffer, uv); float blurDepth = focusDepth + uBlurRadius; float blurAmount = smoothstep(focusDepth, blurDepth, depth); // Apply the bokeh blur effect. vec4 color = vec4(0.0); float totalWeight = 0.0; for (float i = -uBlurRadius; i <= uBlurRadius; i++) { for (float j = -uBlurRadius; j <= uBlurRadius; j++) { vec2 offset = vec2(i, j) / uResolution; float weight = exp(-length(offset) * length(offset) / 2.0); totalWeight += weight; color += texture(colorBuffer, uv + offset * blurAmount) * weight; } } gl_FragColor = color / totalWeight; ``` The biggest issue with this code is that fragments that are in focus can bleed/smear into those that are out of focus inside the blur kernel. If you implement this and look closely at the edges around scene elements that are in focus you will be able to see the effect it has. But the code is simple and relatively fast. The blur kernel size can be used to limit blur and improve performance which can be an easy way to make this work on a variety of hardware. > **Comments:** > **username_2**: I don’t think this is what username_0’s asking for—it sounds like the goal is for the bokeh shapes themselves to be non-circular, as described (for real-world photography) in [this Instructables article](https://www.instructables.com/DIY-Heart-shaped-Bokeh/). > **username_1**: All the elements are there to do that exact effect. --- � # 16 bit SNORM format not correctly storing Z component? (Asked by: username_0 on 2021-10-25) I generate a normal GBuffer in my engine, and I store it using a R16G16B16A16\_SNORM format like this: ``` input.normal = normalize(input.normal); input.tangent = normalize(input.tangent); float3 binormal = normalize(cross(input.tangent, input.normal)); float3 normal = (normalMap.Sample(SampleType, input.tex).rgb * 2.0) - 1.0f; float3x3 texSpace = float3x3(input.tangent, binormal, input.normal); float3 finalNormal = normalize(mul(normal, texSpace)); output.normals = float4(finalNormal.rgb, 1.0f); ``` But when debugging the frame in RenderDoc, I notice that the 3rd component of the frame (Z, or blue channel) is always 0.0 [![enter image description here](https://i.sstatic.net/yPsQI.jpg)](https://i.sstatic.net/yPsQI.jpg) As you can see, both the blue and alpha components come back as zero, even though the alpha is explicitly set to 1.0 in the shader. The frame visually contains information in the blue channel, so why is it coming up as 0.0? **Tags:** c++, hlsl, directx > **Comments:** > **username_1**: If you compute $sqrt(0.86633^2+0.49866^2)$ the result is 0.99959 which is what you would expect for a normalized direction vector. So something seems to be up with which texel is being picked by the debugger. Also, if you tell directx that the format is snorm then doesn't it take care of the *2-1 bit on behalf of the shader so the hlsl code can skip it. > **username_0**: @username_1 Thanks I wasn't aware of the * 2.0 - 1.0 part, first time using a SNORM texture format. I submitted an issue on the renderdoc github maybe they can figure it out. --- ## 0 answers ��G��~ # Where does the OpenGL driver get�FglGet values from? (Asked by: username_0 on 2023-02-03) I know that tB`,is implementL�[ hardware vendors, so this questions may not have a consistent answer. 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            • A stochastic process is one where you gather your samples randomly. So stochastic AA is antialiasing where you gather multiple samples for the same pixel with small random changes.
            • Temporal refers to a process over time. Temporal coherence is for instance mentioned when you have no flickering artifacts, or aliasing that you see during movement. It means that frames are coherent in a certain time window.
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            First, (1/2) I didn't understand how the hash table is actually used. The workflow I think I understood is the following :

            1. For an input (coordinate), we find the both nearest pre-defined coordinates (i.e. : those present as indices in A). It's a multiple of 255.

            2. The lower one is used to lookup in B

            3. We get a number between [0;255] that we use to lookup in A

            4. We get a number between [0;1] : the noise.

            But where is the interpolation between the both pre-defined coordinates' noise values ?

            There are 4 of most of what you wrote here, then the interpolation. For example, if your 2D input is (2.7, 6.4):

            1. You would truncate that to (2,6).
            2. Then perform the permutation and noise lookup steps for (2,6), (3,6), (2,7), (3,7).
            3. And finally perform a 2D interpolation (lerp) of the 4 lookups with the remainder of your input: (0.7, 0.4).

            As for the second part of your question, the table is just a creative way to get a "(int, int) -> int" hashing function to go from input coordinates to an index to pick a value in the random data table. You could use any generic hash function instead. In fact, the method used is fairly obsolete for CPUs as it does not lend itself to SIMD implementation and has horrible memory dependencies. It might still have value for GPUs as they have different behavior. But it will have a visible period of 256 which can cause problems in images. So it is really a poor hash function but for the CPUs back then, it was fast and used little memory which is likely why it was picked.

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            But with ray tracing we normally cast cylinder-like rays instead of cones.

            Rays aren't really cylinders: they're infinitely thin. This infinitely thin ray can be an approximation to the cone just as much as it can be an approximation to the cylinder.

            If we assume that the intensities of the light sources are the same, so that one of the pixels would "see" white average color, the other must necessarily have a color tint ... Am I right in this?

            Sort of. Your left-hand diagram doesn't have a colour tint. Although it covers more of the red wall than the blue wall, both of them subtend the same solid angle from the camera's point of view. The same $\tfrac{1}{r^2}$ ratio between the amount of light included in the cone is exactly countered by the $\tfrac{1}{r^2}$ falloff of the light. If the world worked the way you describe, you could make anything brighter by moving it further away from your eye. The right-hand diagram would have a blue colour tint, because the blue light is closer, but this diagram is not how ray-tracing works.

            There has been research in a few variants of beam tracing, where instead of tracing an infinitely thin ray, you trace a cylinder, or cone tracing, where you trace a cone or frustum as a simple approximation to the irregular solid that contributes to the pixel. The maths (and therefore the algorithm) are somewhat more complex (and therefore slower) than simple ray tracing, and then you have to deal with what happens when the cone partially intersects an object, and you have to use the same shape to approximate the continued path of the cone. These approaches never caught on.

            Instead, supersampling with rays offers the same advantages as cone tracing but with the performance advantage of doing the same simple algorithm many times. You don't supersample by moving the origin of the rays, which would make a cylinder shape, but by varying the directions, which makes a cone shape. Instead of approximating that cone by a single ray along its axis, you're approximating it by (say) 32 rays spread throughout its volume.

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            Let's go through the paper you mentioned and try to list the factors which will affect your decision on whether to use GPU or CPU for simulation. I wI

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          • A stochastic process is one where you gather your samples randomly. So stochastic AA is antialiasing where you gather multiple samples for the same pixel with small random changes.
          • Temporal refers to a process over time. Temporal coherence is for instance mentioned when you have no flickering artifacts, or aliasing that you see during movement. It means that frames are coherent in a certain time window.
          �

          First, (1/2) I didn't understand how the hash table is actually used. The workflow I think I understood is the following :

          1. For an input (coordinate), we find the both nearest pre-defined coordinates (i.e. : those present as indices in A). It's a multiple of 255.

          2. The lower one is used to lookup in B

          3. We get a number between [0;255] that we use to lookup in A

          4. We get a number between [0;1] : the noise.

          But where is the interpolation between the both pre-defined coordinates' noise values ?

          There are 4 of most of what you wrote here, then the interpolation. For example, if your 2D input is (2.7, 6.4):

          1. You would truncate that to (2,6).
          2. Then perform the permutation and noise lookup steps for (2,6), (3,6), (2,7), (3,7).
          3. And finally perform a 2D interpolation (lerp) of the 4 lookups with the remainder of your input: (0.7, 0.4).

          As for the second part of your question, the table is just a creative way to get a "(int, int) -> int" hashing function to go from input coordinates to an index to pick a value in the random data table. You could use any generic hash function instead. In fact, the method used is fairly obsolete for CPUs as it does not lend itself to SIMD implementation and has horrible memory dependencies. It might still have value for GPUs as they have different behavior. But it will have a visible period of 256 which can cause problems in images. So it is really a poor hash function but for the CPUs back then, it was fast and used little memory which is likely why it was picked.

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