Harmonic Bézier Surfaces
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
Given some free boundary control points (in blue), we plot the associated harmonic Bézier tensor-product surface.
[more]
Contributed by: A. Arnal and J. Monterde (October 2012)
Open content licensed under CC BY-NC-SA
Snapshots
Details
A harmonic Bézier surface of odd degree is unambiguously determined by two opposite rows of boundary control points. For even degree, the inner rows and in addition a corner control point are determined by control points in the first and last row.
Permanent Citation
"Harmonic Bézier Surfaces"
http://demonstrations.wolfram.com/HarmonicBezierSurfaces/
Wolfram Demonstrations Project
Published: October 4 2012
Alpha-Biharmonic Bézier Surfaces
A. Arnal and J. Monterde
de Casteljau Algorithm for a Tensor-Product Bézier Surface
Isabelle Cattiaux-Huillard
Steiner Surfaces
Enrique Zeleny
Twisting Rose Surfaces
George Beck
Surface Integrals over Segments of Parametrized Surfaces
Michael Rogers
Minimal and Maximal Surfaces Generated by the Holomorphic Function log(z)
Georgi Ganchev and Radostina Encheva
Quadratic Surface Cross-Sections
Erik Loge
Motion on a Surface
Tomas Kalvoda
An Enneper-Weierstrass Minimal Surface
Michael Schreiber
Cross-Sections of a Surface and Partial Derivatives
Erik Loge
