Construction of blending surfaces by parametric discrete interpolation PDE splines

Authors:
M. Pasadas;M. L. Rodríguez
Affiliations:
Department of Applied Mathematics, E.T.S.I. Caminos, C. y P., University of Granada, 18071 Granada, Spain;Department of Applied Mathematics, E.T.S.I. Caminos, C. y P., University of Granada, 18071 Granada, Spain
Venue:
Mathematics and Computers in Simulation
Year:
2008

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Abstract

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.