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Construction of blending surfaces by parametric discrete interpolation PDE splines

✍ Scribed by M. Pasadas; M.L. Rodríguez

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 353 KB
Volume: 77
Category: Article
ISSN: 0378-4754
DOI: 10.1016/j.matcom.2007.08.011

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✦ Synopsis

In this paper the problem of blending parametric surfaces is discussed. We present a constructing method of blending surfaces by parametric discrete interpolation PDE splines. These functions are obtained from some boundary conditions and a given interpolation data point set, by minimizing a functional associated with a partial differential equation (PDE) in a parametric finite element space.

We formulate the corresponding problem and we establish a variational characterization of the solution and some convergence results. Finally, we show a graphical example.