Stripification of free-form surfaces with global error bounds for developable approximation

Liu, Y. -J., Lai, Yukun ORCID: https://orcid.org/0000-0002-2094-5680 and Hu, S. 2009. Stripification of free-form surfaces with global error bounds for developable approximation. IEEE Transactions on Automation Science and Engineering 6 (4) , pp. 700-709. 10.1109/TASE.2008.2009926

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Abstract

Developable surfaces have many desired properties in the manufacturing process. Since most existing CAD systems utilize tensor-product parametric surfaces including B-splines as design primitives, there is a great demand in industry to convert a general free-form parametric surface within a prescribed global error bound into developable patches. In this paper, we propose a practical and efficient solution to approximate a rectangular parametric surface with a small set of C 0 -joint developable strips. The key contribution of the proposed algorithm is that, several optimization problems are elegantly solved in a sequence that offers a controllable global error bound on the developable surface approximation. Experimental results are presented to demonstrate the effectiveness and stability of the proposed algorithm.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords:	Developable surface approximation , free-form parametric surfaces , geometric optimization , triangle strip
Publisher:	Institute of Electrical and Electronics Engineers
ISSN:	1545-5955
Last Modified:	19 Oct 2022 09:08
URI:	https://orca.cardiff.ac.uk/id/eprint/20104

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