An Approach to Computing Multipoint Inversion and Multiray Surface Intersection on Parametric Surface
Joint Authors
Wang, Xiaoping
Jingyu, Pei
Leen, Zhang
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-11
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This article presents a method for multipoint inversion and multiray surface intersection problem on the parametric surface.
By combining tracing along the surface and classical Newton iteration, it can solve point inversion and ray-surface intersection issues concerning a large number of points or rays in a stable and high-speed way.
What is more, the computation result can approximate to exact solutions with arbitrary precision because of the self-correction of Newton-Raphson iteration.
The main ideas are adopting a scheme tracing along the surface to obtain a good initial point, which is close to the desired point with any prescribed precision, and conducting Newton iteration process with the point as a start point to compute desired parameters.
The new method enhances greatly iterative convergence rate compared with traditional Newton’s iteration related methods.
In addition, it has a better performance than traditional methods, especially in dealing with multipoint inversion and multiray surface intersection problems.
The result shows that the new method is superior to them in both speed and stability and can be widely applied to industrial and research field related to CAD and CG.
American Psychological Association (APA)
Jingyu, Pei& Wang, Xiaoping& Leen, Zhang. 2019. An Approach to Computing Multipoint Inversion and Multiray Surface Intersection on Parametric Surface. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1195286
Modern Language Association (MLA)
Jingyu, Pei…[et al.]. An Approach to Computing Multipoint Inversion and Multiray Surface Intersection on Parametric Surface. Mathematical Problems in Engineering No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1195286
American Medical Association (AMA)
Jingyu, Pei& Wang, Xiaoping& Leen, Zhang. An Approach to Computing Multipoint Inversion and Multiray Surface Intersection on Parametric Surface. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1195286
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195286