Bézier Surfaces of Minimal Internal Energy

Miao, Yongwei, Shou, Huahao, Feng, Jieqing, Peng, Qunsheng and Forrest, A. Robin (2005) Bézier Surfaces of Minimal Internal Energy. In: Mathematics of Surfaces XI. Lecture Notes in Computer Science, 3604 . Springer, pp. 318-335. ISBN 978-3-540-28225-9

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In this paper the variational problems of finding Bézier surfaces that minimize the bending energy functional with prescribed border for both cases of triangular and rectangular are investigated. As a result, two new bending energy masks for finding Bézier surfaces of minimal bending energy for both triangular and rectangular cases are proposed. Experimental comparisons of these two new bending energy masks with existing Dirichlet, Laplacian, harmonic and average masks are performed which show that bending energy masks are among the best.

Item Type: Book Section
Additional Information: Proceedings of the 11th IMA International Conference, Loughborough, UK, September 5-7, 2005
Faculty \ School: Faculty of Science > School of Computing Sciences
Depositing User: Vishal Gautam
Date Deposited: 20 Jul 2011 13:34
Last Modified: 23 Oct 2022 23:57
URI: https://ueaeprints.uea.ac.uk/id/eprint/22824
DOI: 10.1007/11537908_19

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