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Slide 11 of 42

But opacity functions don't take position into account in how they assign opacity, so we need to find the boundaries not in the spatial domain, but in the data value domain. We want to know, what are the data values that reliably correspond to the middle of a boundary. In answer to the question, where's the boundary, we want the answere "here", at v0, because if we make values around v0 opaque in the opacity function, we should only be making the boundary opaque, and then in the final rendering we should see the boundary only.