Article ID Journal Published Year Pages File Type
4642028 Journal of Computational and Applied Mathematics 2008 12 Pages PDF
Abstract

The aim of this paper is to present a new class of B-spline-like functions with tension properties. The main feature of these basis functions consists in possessing C3C3 or even C4C4 continuity and, at the same time, being endowed by shape parameters that can be easily handled. Therefore they constitute a useful tool for the construction of curves satisfying some prescribed shape constraints. The construction is based on a geometric approach which uses parametric curves with piecewise quintic components.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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