Generating harmonic surfaces for interactive design

Generating harmonic surfaces for interactive design

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Article ID: iaor20141799
Volume: 67
Issue: 10
Start Page Number: 1914
End Page Number: 1924
Publication Date: Jun 2014
Journal: Computers and Mathematics with Applications
Authors: ,
Keywords: control
Abstract:

A method is given for generating harmonic tensor product Bézier surfaces and the explicit expression of each point in the control net is provided as a linear combination of prescribed boundary control points. The matrix of scalar coefficients of these combinations works like a mould for harmonic surfaces. Thus, real‐time manipulation of the resulting surfaces subject to modification of prescribed information is possible.

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