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Simultaneous blending of convex polyhedra by algebraic splines

✍ Scribed by Haining Mou; Guohui Zhao; Zhirui Wang; Zhixun Su

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
973 KB
Volume
39
Category
Article
ISSN
0010-4485

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✦ Synopsis

In this paper, we present a method of simultaneous blending of implicitly defined convex polyhedral angles and solid models. This algorithm starts with a new suitable partition of the n-simplex over which the algebraic splines are defined. Then a cubic algebraic spline is constructed which meets the initial surfaces with G 2 continuity. Examples are provided to demonstrate the blending process. The results show some advantages of the new blending method.

πŸ“œ SIMILAR VOLUMES

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Construction of blending surfaces by parametric discrete interpolation PDE splines
✍ M. Pasadas; M.L. RodrΓ­guez πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 353 KB

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 functio