A C1-rational spline in range restricted interpolation of scattered data

Authors:
Zhongxuan Luo;Xingxuan Peng
Affiliations:
Department of Mathematics, Dalian University of Technology, Dalian, Liaoning, China;Department of Mathematics, Dalian University of Technology, Dalian, Liaoning, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 10
Cited 1

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Abstract

A range restricted C1 interpolation local scheme to scattered data is developed. Cµ-rational spline function classes over triangles and quadrilaterals have been investigated by the first author. In this paper we concentrate on the C1- rational spline over triangles and represent it as piecewise a convex combination of three cubic Bézier triangular patches. Further, with such an equivalent form of C1 rational spline, the construction of a range restricted C1 interpolant subject to polynomial constraint surface of degree up to three is considered. In the end of this paper some numerical examples are illustrated.