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Lecture 7: Intro to Geometry, Splines, and Bezier Curves (19)

What exactly do the dots represent in this diagram?


0.25 spacing of u. So evaluating the curve (line) at ... u=-.5, u=-.25, u=0, u=0.25, u=.5 ...


Will using different representations of the same curve cause significantly different renders or does it not matter too much which representation we end up choosing?


@Aseemrd For a perfectly-built rendering pipeline, the exact representation should not matter, only the implied surface. Careful though: if we were to compute x/u\partial x/\partial u for the second parameterization, we end up with a singularity near u=0u=0. Your renderer might not be happy with that!

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