In this paper, we propose the generalized B divided difference, with which the (k -1)th derivative of B-spline curves of order k can be obtained directly without the need to compute the first (k -2) derivatives as before. Based on the generalized B divided difference, the necessary and sufficient co
Data reduction of polygonal curves using B-splines
β Scribed by E. Saux; M. Daniel
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 374 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0010-4485
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Parametrized polynomial spline curves are defined by an S-polygon, but locally they are Bdzier curves defined by a B-polygon. Two algorithms are given which construct one polygon from the other and vice versa. The generalization to surfaces is straightforward. This may be of some interest in CA D be
An algorithmic approach to degree reduction of B-spline curves is presented. The method consists of the following steps: (a) decompose the B-spline curve into Btzier pieces on the fly, (b) degree reduce each Btzier piece, and (c) remove the unnecessary knots. A complete algorithm and precise error