Motivation
The picture at right is a toric Bézier patch(4×3 tensor product patch in R3).
Click on it for a movie, which is the motivation
for the mathematics in this talk.
Subsequent pictures on this page accompany this talk.
MotivationThe picture at right is a toric Bézier patch(4×3 tensor product patch in R3). Click on it for a movie, which is the motivation for the mathematics in this talk. Subsequent pictures on this page accompany this talk. | |
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Bézier Patches | ||||
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This shows the rational normal cubic in the standard simplex in RP3+ and its image in R2 under a map πb. The image is a Bézier cubic in the plane. The control points are the endpoints of the segments (control polygon). |
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Here is a 3×3 tensor product patch, showing control points. The 'cage' is the 3D analog of the control polygon. |
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Upper Hulls and Convex Subdivisions |
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