Tensor Product Surfaces

Surfaces



Bézier representation of tensor product surfaces
cf. Section 9.2 (PBP'99)
Visualization of polynomial tensor product surfaces.
Applet
Info



De Casteljau algorithm
cf. Section 9.4 (PBP'99)
Evaluation of a tensor product surface in Bézier representation.
Applet
Info



Surface generation by subdivision
Visualization of a polynomial surface by its corresponding
subdivided Bézier net.
Applet
Info


Triangular Patches

Surfaces



Bézier representation of triangular patches
cf. Section 10.2 (PBP'99)
Polynomial parametric surfaces over triangular domaine.
Applet
Info



Bernstein polynomials
cf. Section 10.1 (PBP'99)
Basis functions for the Bézier representation of a triangular
polynomial patch.
Applet
Info



De Casteljau Algorithm
cf. Section 10.4 (PBP'99)
Evaluation of a triangular surface in Bézier representation.
Applet
Info



Generalized de Casteljau algorithm (blossoms)
cf. Section 11.1/11.3 (PBP'99)
Changing the parameter of the evaluation algorithm in each step.
Applet
Info



Subdividing a Bézier net
cf. Section 11.3 (PBP'99)
Construction of the Bézier net over another domaine.
Applet
Info



Surface generation by subdivision
cf. Section 11.5/11.6 (PBP'99)
Visualization of a triangular polynomial surface by its subdivided Bézier net.
Applet
Info





