Lecture 7: Intro to Geometry, Splines, and Bezier Curves (19)
kkkhanl
What exactly do the dots represent in this diagram?
Staffjamesfobrien
0.25 spacing of u. So evaluating the curve (line) at ... u=-.5, u=-.25, u=0, u=0.25, u=.5 ...
Aseemrd
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?
Staffjamesfong1
@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 for the second parameterization, we end up with a singularity near u=0. Your renderer might not be happy with that!
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 for the second parameterization, we end up with a singularity near u=0. Your renderer might not be happy with that!