Wang-Ball triangular patch and its properties

Conference proceedings article

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Publication Details

Author list: Sukjaitham S., Dejdumrong N.

Publisher: Hindawi

Publication year: 2009

Start page: 241

End page: 244

Number of pages: 4

ISBN: 9780769537894

ISSN: 0146-9428

eISSN: 1745-4557

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-70549109886&doi=10.1109%2fCGIV.2009.73&partnerID=40&md5=340f51b5196fcd3a0c619a06e0323c91

Languages: English-Great Britain (EN-GB)

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Abstract

A new model of triangular Ball surface is proposed with its quadratic complexity. It can be constructed from the idea of Wang-Ball univaritate functions and Wang algorithm. The new bivariate basis functions look analogous to the Wang-Ball polynomials. Evaluating points on a curve can be calculated from the new recursive algorithm that is proved to be quadratic, O(n 2). Thus, the calculation time is less than any other triangular curves. Finally several important geometric properties for these surfaces are also identified such as normality, convexity and symmetry. ฉ 2009 IEEE.

Keywords

Recursive algorithms, Triangular ball surfaces