An efficient algorithm for the evaluation of B́ezier triangular surfaces

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Publication Details

Author list: Pokavanich W., Dejdumrong N.

Publisher: Hindawi

Publication year: 2010

Volume number: 5

Start page: 754

End page: 759

Number of pages: 6

ISBN: 9781424455850

ISSN: 0146-9428

eISSN: 1745-4557

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-77952662368&doi=10.1109%2fICCAE.2010.5451352&partnerID=40&md5=ccf8d98365077db93e5477ae079ecd84

Languages: English-Great Britain (EN-GB)

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Abstract

B́ezier triangular patch is well-known and widely used for solving the problem in surface modeling. However, it is based on the Bernstein-B́ezier bivariate basis, which is considered as a time-consuming scheme. Thus, two different generalized Ball bases are acquired to improve the performance in triangular surface construction. This paper proposes a new algorithm to evaluate B́ezier triangular surface by converting a set of control points for a given B́ezier triangular patch into a new set of Hu's Wang-Ball control points of the same surface. The details of conversion formulae for degree 3 to 7 are described in this paper. Finally, the performance evaluation is also delivered. ©2010 IEEE.

Keywords

B́ezier triangular surface, Bivariate polynomials, Said-Ball triangular surface, Surfaceconversion, Wang-Ball triangular surface