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tplatina

Is there a more direct way to help distinguish whether a signal is band-limited in the image. Sorry I didn't quite understand the hint of that red triangle to this question.

motoole2

Feel free to ask clarifying questions in class if any point is confusing! The hint here refers to the fact that a (infinite-resolution) image of a triangle is not band-limited. This is because there are sharp discontinuities at the edges of the triangle.

Think about how we represented a triangle in terms of a coverage function defined over continuous values x and y. In computer graphics, rasterizing a triangle involves sampling this coverage function and rendering an image based on these samples. However, because of the sharp discontinuity associated with the edges, no number of samples will be sufficient to reproduce our triangle exactly.