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So in order to create a new image, we need to find rays that correspond to its pixels. Typically the input would be a bunch of images, and each pixel in them is one ray. Let's call the ray we are looking for the query ray.
Now we have the following problem: how to choose which rays in the old images correspond to the query ray? Or if no ray exactly does, which ones are pretty close, and how close are they? And finally, how should we interpolate between them to get an approximation to the query ray?