title: Plotting a Gaussian Convolution Graph
body: <p>I'm writing a research paper on the SIFT algorithm, and I want to create a graphic to help explain the concept of a Gaussian blur in the context of continuous functions before I describe the discrete process. The graphic I want to create is a graph of a standard Gaussian convolved with a sine function. I can plot a Gaussian, and I can plot sine, but I don't know how to plot their convolution. I don't know how to calculate their convolution to plot it, and I don't know of any software that will allow me to use a convolution operator in the plot. I am familiar with tikz and gnuplot, but I would not know how to do this with either of them. Any suggestions as to how I could go about this would be greatly appreciated. Thanks.</p>