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- Title
Convergence Analysis on a Second Order Algorithm for Orthogonal Projection onto Curves.
- Authors
Xiaowu Li; Lin Wang; Zhinan Wu; Linke Hou; Juan Liang; Qiaoyang Li
- Abstract
Regarding the point projection and inversion problem, a classical algorithm for orthogonal projection onto curves and surfaces has been presented by Hu and Wallner (2005). The objective of this paper is to give a convergence analysis of the projection algorithm. On the point projection problem, we give a formal proof that it is second order convergent and independent of the initial value to project a point onto a planar parameter curve. Meantime, for the point inversion problem, we then give a formal proof that it is third order convergent and independent of the initial value.
- Subjects
TECHNOLOGY convergence; POLYNOMIALS; EQUATIONS; ALGORITHMS; GEOMETRY
- Publication
Symmetry (20738994), 2017, Vol 9, Issue 10, p210
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym9100210