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Fundamentals of Computer Graphics, 4th Edition by Peter Shirley, Steve Marschner

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Chapter 9

Signal Processing

In graphics, we often deal with functions of a continuous variable: an image is the first example you have seen, but you will encounter many more as you continue your exploration of graphics. By their nature, continuous functions can’t be directly represented in a computer; we have to somehow represent them using a finite number of bits. One of the most useful approaches to representing continuous functions is to use samples of the function: just store the values of the function at many different points and reconstruct the values in between when and if they are needed.

You are by now familiar with the idea of representing an image using a two-dimensional grid of pixels—so you have already seen a sampled representation! ...

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