A second-order algorithm for curve orthogonal projection onto parametric surface

Hai-Yin Xu; Xiongbing Fang; Hon-Yuen Tam; Xiaofeng Wu; Li'an Hu

doi:10.1080/00207160.2011.628385

Author(s)

Hai-Yin Xu
Xiongbing Fang
Hon-Yuen Tam
Xiaofeng Wu
Li'an Hu

Detail(s)

Original language	English
Pages (from-to)	98-111
Journal / Publication	International Journal of Computer Mathematics
Volume	89
Issue number	1
Publication status	Published - 1 Jan 2012

Link(s)

DOI	DOI https://doi.org/10.1080/00207160.2011.628385 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84863125215&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(fae0e1d2-e9e6-477e-a55d-19aaa8934c95).html

Abstract

Repeated use of point projection to find the projection of a curve on a surface is rather inefficient as the iteration procedures in point projection is typically slow. A novel curve projection scheme is proposed for computing the orthogonal projection of a progenitor curve onto a parametric surface. Under this scheme, the projection curve is parameterized using the parameter of the progenitor curve. Differential geometric characteristics of the projection curve are analysed. A marching method with error adjustment is used to calculate the projection curve. Several examples are presented and comparisons are made to demonstrate the effectiveness of the proposed scheme. © 2012 Copyright Taylor and Francis Group, LLC.

Research Area(s)

curve projection, error adjustment, marching, parametric surface, Taylor approximation

Citation Format(s)

[ RIS ] [ BibTeX ]

A second-order algorithm for curve orthogonal projection onto parametric surface. / Xu, Hai-Yin; Fang, Xiongbing; Tam, Hon-Yuen et al.
In: International Journal of Computer Mathematics, Vol. 89, No. 1, 01.01.2012, p. 98-111.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Xu, H-Y, Fang, X, Tam, H-Y, Wu, X & Hu, L 2012, 'A second-order algorithm for curve orthogonal projection onto parametric surface', International Journal of Computer Mathematics, vol. 89, no. 1, pp. 98-111. https://doi.org/10.1080/00207160.2011.628385

Xu, H.-Y., Fang, X., Tam, H.-Y., Wu, X., & Hu, L. (2012). A second-order algorithm for curve orthogonal projection onto parametric surface. International Journal of Computer Mathematics, 89(1), 98-111. https://doi.org/10.1080/00207160.2011.628385

Xu HY, Fang X, Tam HY, Wu X, Hu L. A second-order algorithm for curve orthogonal projection onto parametric surface. International Journal of Computer Mathematics. 2012 Jan 1;89(1):98-111. doi: 10.1080/00207160.2011.628385

Xu, Hai-Yin ; Fang, Xiongbing ; Tam, Hon-Yuen et al. / A second-order algorithm for curve orthogonal projection onto parametric surface. In: International Journal of Computer Mathematics. 2012 ; Vol. 89, No. 1. pp. 98-111.