A second order geometric method for ray/parametric surface intersection

A second order geometric method for ray/parametric surface intersection

In this paper, a new method for computing intersection between a ray and a parametric surface is proposed, which finds many applications in computer graphics, robotics and geometric modeling. The method uses the second order derivative of the surface, which can handle inherent problems that Newton–R...

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Main Authors: Park, Taezoon, Ji, Joonghyun, Ko, Kwang Hee
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/107157
http://hdl.handle.net/10220/17731
http://dx.doi.org/10.1016/j.cagd.2013.07.001
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1071572019-12-06T22:25:48Z A second order geometric method for ray/parametric surface intersection Park, Taezoon Ji, Joonghyun Ko, Kwang Hee School of Mechanical and Aerospace Engineering In this paper, a new method for computing intersection between a ray and a parametric surface is proposed, which finds many applications in computer graphics, robotics and geometric modeling. The method uses the second order derivative of the surface, which can handle inherent problems that Newton–Raphson and Halley methods have such as instability caused by inappropriate initial conditions and tangential intersection. Case examples are presented to demonstrate the capability of the proposed method. 2013-11-15T07:37:19Z 2019-12-06T22:25:48Z 2013-11-15T07:37:19Z 2019-12-06T22:25:48Z 2013 2013 Journal Article Park, T., Ji, J., & Ko, K. H. (2013). A second order geometric method for ray/parametric surface intersection. Computer Aided Geometric Design, 30(8), 795-804. 0167-8396 https://hdl.handle.net/10356/107157 http://hdl.handle.net/10220/17731 http://dx.doi.org/10.1016/j.cagd.2013.07.001 en Computer aided geometric design
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
description In this paper, a new method for computing intersection between a ray and a parametric surface is proposed, which finds many applications in computer graphics, robotics and geometric modeling. The method uses the second order derivative of the surface, which can handle inherent problems that Newton–Raphson and Halley methods have such as instability caused by inappropriate initial conditions and tangential intersection. Case examples are presented to demonstrate the capability of the proposed method.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Park, Taezoon
Ji, Joonghyun
Ko, Kwang Hee
format Article
author Park, Taezoon
Ji, Joonghyun
Ko, Kwang Hee
spellingShingle Park, Taezoon
Ji, Joonghyun
Ko, Kwang Hee
A second order geometric method for ray/parametric surface intersection
author_sort Park, Taezoon
title A second order geometric method for ray/parametric surface intersection
title_short A second order geometric method for ray/parametric surface intersection
title_full A second order geometric method for ray/parametric surface intersection
title_fullStr A second order geometric method for ray/parametric surface intersection
title_full_unstemmed A second order geometric method for ray/parametric surface intersection
title_sort second order geometric method for ray/parametric surface intersection
publishDate 2013
url https://hdl.handle.net/10356/107157
http://hdl.handle.net/10220/17731
http://dx.doi.org/10.1016/j.cagd.2013.07.001
_version_ 1681048024084643840

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