10044
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Harmonic Bézier Surfaces
Given some free boundary control points (in blue), we plot the associated harmonic Bézier tensor-product surface.
You can choose the height
of any boundary control point.
Contributed by:
A. Arnal
and
J. Monterde
THINGS TO TRY
Rotate and Zoom in 3D
Slider Zoom
Gamepad Controls
Automatic Animation
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.
RELATED LINKS
Laplace's Equation
(
Wolfram
MathWorld
)
PERMANENT CITATION
A. Arnal
and
J. Monterde
"
Harmonic Bézier Surfaces
"
http://demonstrations.wolfram.com/HarmonicBezierSurfaces/
Wolfram Demonstrations Project
Published: October 4, 2012
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
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
Motion on a Surface
Tomas Kalvoda
An Enneper-Weierstrass Minimal Surface
Michael Schreiber
Catastrophe Set of the Plane Projection of a Movable Surface
Takaharu Tsukada
Normal Curvature at a Regular Point of a Surface
Desana ?tambuk (University of Zagreb)
Related Topics
Curves
Surfaces
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+