Modifying free-formed NURBS curves and surfaces for offsetting without local self-intersection
✍ Scribed by Y.F. Sun; A.Y.C. Nee; K.S. Lee
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 322 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0010-4485
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✦ Synopsis
This paper presents an algorithm of modifying free-formed NURBS curve/surface for offsetting without local self-intersecting. The method consists of (1) sampling a number of points from a progenitor curve/surface based on second derivatives; (2) checking the curvature or maximum curvature of the progenitor curve/surface at the sampled points; (3) inserting corresponding knots of sampled points; (4) repositioning control points till the curvature/maximum curvature of the curve/surface everywhere are less than the reciprocal of offset distance. The method is efficient and is able to obtain better offsetting results.