Bézier Surfaces of Minimal Internal Energy

Yongwei Miao, Huahao Shou, Jieqing Feng, Qunsheng Peng, A. Robin Forrest

Research output: Chapter in Book/Report/Conference proceedingChapter

15 Citations (Scopus)


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.
Original languageEnglish
Title of host publicationMathematics of Surfaces XI
EditorsRalph Martin, Helmut Bez, Malcolm Sabin
Number of pages18
ISBN (Print)978-3-540-28225-9
Publication statusPublished - 2005

Publication series

NameLecture Notes in Computer Science

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