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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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        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

        ����   �`�$�� 4��D �T`�d��t�� � �$�`� (��� ,��� 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�$�L4�d�M8��N<���O@%�PDe�QH%��RL5��SPE%�TTUe�UXe��V\u��W`�%�Xd�e�Yh���Zl���[p�%�\t�e�]x��^|���_�&�`�f�a�%��b�5��c�E&�d�Uf�e�e��f�u��g��&�h��f�i����j����k��&�l��f�m���n����o�'�p�g�q�%��r�5��s�E'�t�Ug�u�e��v�u��w��'�x�g�y襧�z���{��'�|��g�}A���~����(��h��&��� 6���F(�Vh�f��v�� �(�$�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�裐F*餔Vj饘f�馜v�駠�*ꨤ�jꩨ��ꪬ��꫰�*무�j뭸�뮼����+��k��&���6���F+���Vk���f����v�����+��k�覫�������)��,�6(�

        recently i started studying computer science and computer graphics, and one question really haunts me. Mby someone can explain this. How bit patterns become translated into (for example ) text. I know we have encoding like ascii and unicode but this is also just bit patterns. Main mystery is at what point do the bits turn into what we see on the screen? So maybe you have some sources which can explain it? How bits translated into text?

        ThanksBasic text which displayed on pc screen

        �

        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?

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        The code above should generate a red square image, but if I open the file with Gimp, I get a green image.

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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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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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Although a Intel HD Graphics and the AMD companion can already do quite much. So, choose your platform. --- Disclaimer: As of now, I did neither use Direct3D nor Metal. > **Comments:** > **username_5**: > "If you are ��good at writing programs in e.g. Java, 58won't have that�4 trouble learnA�C++" — this is not true. *Everybody* will LHcolossal amounts ofFV*!nusing*b. C!rrqit to�h or any other safe language�pcompletely inappropriate. For 50s!�l listed (Objective-C, Swift,l some 8o"-orien3H))+state!��mostly%, Ia. -A0### Answer by!�rname_6 on 2015-08-22. Score: 3 I do%epersonal\ hink!matters%�4. Just pick on-� suit�r!��. I)�0used both D3DE�OpenGLAthe pas-�concepts � z(. 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Mi��QpL!�)�Qŏ�G& �!�. �*inM� �(V*A�U9eyeN�!� !�V ��a�aQwhole � �a �I;�0~�h7I��" �B��\�qda t>_ ?��I��U+�u! �& 0)n �eni:8E�hW/nE�.�B�$�R" 90Ɇ1�(A%Mcam5�9aD5���(up vector),EdI員{a;eraFThV�!5go+ �� � E",��at 5 �B�1 �=.�8� :">2aCpJ1o�'� / � a " �R")"� "�=dk$I�)!�d!Miaknkn( away��w"F!ofJXah�8!����ohmÁo�jQy!�6 _neg�-_Ul �. en�3�ak# �.�i* ?/!1)�. �:/��!-tuwa�!b�� nerss/!-3)v ces/a�lK!!4?a m�;mGdetai4 ��:IuS�%<0ces. --- ��,�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. --- ��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 �����E,�6(�# smooth zoom animation formulas (and rounding numbers) (Asked by: username_0 on 2017-01-15) I need to generate an easy animation video in Python (I use PIL to create every frame, then combine them using avconv). The animation is just an image being zoomed out. That's my code: for i in xrange(zoom_length): # zoom level on this step zoom = 1.0 - 1.0 * i * (max_zoom / zoom_length) # "size" is the resulting video frame size # "img.size" is the source image size (around 2.5x bigger than the frame) anti_zoomed_frame_size = int(size[0] / zoom), int(size[1] / zoom) anti_zoomed_frame_margins = (img.size[0] - anti_zoomed_frame_size[0]) / 2, (img.size[1] - anti_zoomed_frame_size[1]) / 2 anti_zoomed_frame = img.crop(anti_zoomed_frame_margins + (anti_zoomed_frame_size[0] + anti_zoomed_frame_margins[0], anti_zoomed_frame_size[1] + anti_zoomed_frame_margins[1])) frame = anti_zoomed_frame.resize(size, resample=Image.BILINEAR) print i, img.size, anti_zoomed_frame_size, anti_zoomed_frame_margins # frame No for debugging draw = ImageDraw.Draw(frame) draw.text((size[0] - 200, size[1] - 100), str(i), (0,0,0), font=font) yield frame So what happens is I crop out of the source image a rectangle of size frame_size / zoom , then I resize it zoom times to get the needed frame size. zoom <= 1.0 so doing it in this order seems to be a good idea, though I also tried doing it the other way (resize, then crop). Anyway in both cases the resulting video is kind of shaking at times. It seems that the problem is in rounding the numbers. The math I'm doing inevitably leads to non-integers, yet PIL requires integers everywhere (also the resulting frame size is obviously a pair of integer constants). This rounding operation seems to affect the smoothness of the animation badly. How smooth zooming is implemented in real life? **Tags:** animation > **Comments:** > **username_1**: I'm voting to close this question as off-topic because it doesn't seem to be about computer graphics, but rather video/image/signal processing. > **username_2**: I think it's an interesting question. Essentially temporal aliasing problem which is too often ignored by CG people. There are a huge number of algorithms out there which look cool on still frames but break down when you start animating input parameters. > **username_2**: I meant quantization, not aliasing, but I still think it's worth discussing why this fails to be smooth and what can be done about it besides the obvious "get a toolkit with the proper floating point zoom support". > **username_3**: We have a [tag for image-processing](http://computergraphics.stackexchange.com/questions/tagged/image-processing), and there is support for the place of image processing in our scope on Meta [here](http://meta.computergraphics.stackexchange.com/questions/38/is-this-site-only-about-3d-topics) and [here](http://meta.computergraphics.stackexchange.com/questions/9/how-do-we-draw-the-line-between-questions-that-are-appropriate-for-computer-grap). --- ## 0 answers ̛A��r# Selecting pixels within a circle hav�Xa decimal (non integer) radius (Asked by: username_0 on 2016-01-11) I want to select a wBv,of a certain d . 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) Is this a problem with the fragment shader, or it’s something related to the shadowMap itself? 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EachB��:i�:wn.�} �K;%be�9)o�� Ps.���!Ji' ;� efinecP.s (glCli )%<a[<fic)�M�7�<:I�=�=���ag;1��,C{B,dot-product,*<c)��)%��L if ne4@ary? FGI�( �op��s (ex7C:M����jE��t<p�EQ� /.�)?"�1t2�3"�Ca-$Bqu��C1-e8�h3Nh�S!f�8on)�zas!"� a pa>  primi�p!�2?J� R��>WYGUv6"j `gl_A DL nce`2\veF!o c�> ectly cap�Lof-��Ʌ�o�HA:6�6��I. q lip-�7B;i�G 5,JndAA���"deact;e"RA��j� �� o6i,�!�%><[i])?��9.0 pll!a�s#�� {: do�m�:�[] ݑ e� []? �J!Xd-�I�\��d�'� �;rasteriz��e�?>� :�A 0: IO Av H��!Y !ex� pu�2�(un�!� decl��+b+ te���`P>`lifieF J� 6LT�HI'll tr� "��_%�8way =) --- �΋��H,�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. Bind and write the depth buffer as usual. Bind and write the stencil buffer with the shapes that need to be masked out. A simple 1 or 0 will do here. Generate the color buffer 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: read the stencil and color buffers. If the stencil value is 1 return the unmodified color. read the depth buffer. 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 Caleb’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 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 ��E��� # fastest way to "read only" from buffer (Asked by: username_0 on 2021-02-22) First of all I have a struct which looks like the following: struct s.`Name { vec3 position;,float radius. type L...some more informa@ wh��Rare definitely needed! 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H:",F.VW �8d9a3f65d3573bd2775b658ffab46212 --- ��:��,�6(�# using default depth buffer in off-screen framebuffer (Asked by: username_0 on 2018-02-07) I'm trying to implement [Weighted, Blended Order-Independent Transparency](http://casual-effects.blogspot.com.tr/2015/03/implemented-weighted-blended-order.html) There are three passes: 1. 3D opaque surfaces to a primary framebuffer 2. 3D transparency accumulation to an off-screen framebuffer 3. 2D compositing transparency over the primary framebuffer I need to test transparent objects against default depth buffer. I created a framebuff for transparency pass and also created a depth buffer for maybe I can copy default depth to this buffer if this is the only way. But I don't know how to do that because I created depth buffer with `GL_DEPTH_COMPONENT24` but I don't know default depth format. Is it possible to bind default framebuffer's depth buffer to another framebuffer? If not, how can I copy default depth to another depth buff, or what is best way to do this? **Tags:** opengl, transparency, frame-buffer --- ## 1 answers ### Answer by username_1 on 2018-02-07. Score: 3 | Accepted answer > Is it possible to bind default framebuffer's depth buffer to another framebuffer? First, you "attach" images to framebuffers. You "bind" objects to the context; you "attach" objects to other objects. Second, no, you cannot attach images of the default framebuffer to anything. > If not, how can I copy default depth to another depth buff, or what is best way to do this? You render to your own depth buffer entirely. Just copy/render the image data out to the default framebuffer when its time to display it. > **Comments:** > **username_0**: what about `glBlitFramebuffer`? Can't I copy default framebuffer's images or depth to another framebuffer with it? > **username_1**: @username_0: Yes, you could. Or you could just render to your own image and *not* have to do a copy. Why pick the slower option? > **username_0**: "Why pick the slower option?" maybe this is what I was looking for. I don't know which one is faster so I tried to save texture space. As a solution I will render opaque objects to another framebuff and share its depth buffer with transparency framebuff, this seems better way and fits with your answer I guess --- �����# using default depth buffer in off-screen frame � (Asked by: username_0 on 2018-02-07) I'm trya�to implement [Weighted, Blended Order-Indep�>nt Transparency](http://casual-effects.blogspot.com.tr/2015/03/k ed-w l-b k-ok�F.html) There are three passes: 1. 3D opaque surfaces to a primary fra52./t�0 accumulation!abO43. 2D composit%/.Iover theRy I needa test�[d2Xformat. Is it possible} bind.]'s6~A(nother.& ? If not,�! IZ"=�, or w�! �7B7h First, you "attach" imagee�=� s. Y%!�"uEt$e context;6Hq&to )� 0. Second, no |cannot ��oA�eNS anything.%��n��r�=xyour own]C@er entirely. 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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. 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          $$-bhr)�[1] Heckbert, Paul S. Fundamentals of texture mapping and image warping. MS thesis. University of California, Berkeley, 1989.

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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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