A Recursive Taylor Method for Ray-Casting Algebraic Surfaces

Shou, Huahao, Song, Wenhao, Shen, Jie, Martin, Ralph Robert and Wang, Guojin 2006. A Recursive Taylor Method for Ray-Casting Algebraic Surfaces. Presented at: CGVR 2006: 2006 International Conference on Computer Graphics & Virtual Reality, Las Vegas, NV, USA, 26-29 June 2006. Published in: Arabnia, Hamid R. ed. Proceedings of the 2006 International Conference on Computer Graphics & Virtual Reality. Las Vegas, NV: CSREA Press, pp. 196-202.

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Abstract

In this paper, we propose a recursive Taylor method for ray-casting algebraic surfaces. The performance of this approach is compared with four other candidate approaches to raycasting: using interval arithmetic on the power form, using interval arithmetic on centered forms, using affine arithmetic, and using modified affine arithmetic. Test results show that the recursive Taylor method compares favorably to the other methods.

Item Type:	Conference or Workshop Item (Paper)
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Publisher:	CSREA Press
ISBN:	9781932415858
Last Modified:	04 Jun 2017 04:53
URI:	https://orca.cardiff.ac.uk/id/eprint/46088

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