Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Geometric construction of spline curves with tension properties
Computer Aided Geometric Design
Quasi-interpolants with tension properties from and in CAGD
Computing - Geometric modelling dagstuhl 2002
Bspline approximation of circle arc and straight line for pocket machining
Computer-Aided Design
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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 C^3 or even C^4 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.