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Title: Modifying free-formed NURBS curves and surfaces for offsetting without local self-intersection
Authors: Sun, Y.F.
Nee, A.Y.C. 
Lee, K.S. 
Keywords: Approximations
NURBS curves and surfaces
Issue Date: Oct-2004
Citation: Sun, Y.F., Nee, A.Y.C., Lee, K.S. (2004-10). Modifying free-formed NURBS curves and surfaces for offsetting without local self-intersection. CAD Computer Aided Design 36 (12) : 1161-1169. ScholarBank@NUS Repository.
Abstract: 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. © 2004 Elsevier Ltd. All rights reserved.
Source Title: CAD Computer Aided Design
ISSN: 00104485
DOI: 10.1016/j.cad.2003.11.002
Appears in Collections:Staff Publications

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