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A third order partial differential equation for isotropic boundary based triangular Bézier surface generation

✍ Scribed by A. Arnal; J. Monterde


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
746 KB
Volume
236
Category
Article
ISSN
0377-0427

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✦ Synopsis


We approach surface design by solving a linear third order Partial Differential Equation (PDE). We present an explicit polynomial solution method for triangular Bézier PDE surface generation characterized by a boundary configuration. The third order PDE comes from a symmetric operator defined here to overcome the anisotropy drawback of any operator over triangular Bézier surfaces.