Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Article type: Research Article
Authors: Zhu, Fenying | Liu, Bin; *
Affiliations: College of Mechanical Engineering and Automation, Huaqiao University, Xiamen, Fujian, China
Correspondence: [*] Corresponding author: Bin Liu, College of Mechanical Engineering and Automation, Huaqiao University, Xiamen, Fujian, China. Tel.: +86 592 6162597; Fax: +86 592 6162599; E-mail: mold_bin@hqu.edu.cn, 9988753@qq.com.
Abstract: Computation of the distance between two objects is an important problem in computer aided geometric design. To make up the deficiencies in the existing algorithm, a calculation method of the closet distance between point and curve on mesh surfaces is proposed. The curves on surfaces are represented by geodesic B-spline, and the knot insertion algorithm in classic B-spline curve is expand to curved space, so that the geodesic B-spline curve can be decomposed into combination of sub-Bézier curves; using the intermediate results of the expand De Casteljau's algorithm, derivative of curve can be calculated. On this basis, the orthogonal projection point calculation algorithm, which is the projection point from point to curve, in Euclidean space is extended to curved space, and the point calculation method of the orthogonal projection on curved space is given, that is to say, the geodesic distance between point and its orthogonal projection point is the shortest distance from point to curve. Experimental results show that, the proposed method is robust, effective, and with a good adaptability to the shape variation of surface.
Keywords: Distance, orthogonal projection, geodesic B-spline, curves on surfaces, mesh
DOI: 10.3233/JCM-140514
Journal: Journal of Computational Methods in Sciences and Engineering, vol. 15, no. 1, pp. 13-22, 2015
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
sales@iospress.com
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
info@iospress.nl
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office info@iospress.nl
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
100025, Beijing
China
Free service line: 400 661 8717
Fax: +86 10 8446 7947
china@iospress.cn
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
如果您在出版方面需要帮助或有任何建, 件至: editorial@iospress.nl