Fast recursive algorithm for a new model of triangular surfaces

Conference proceedings article

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Publication Details

Author list: Unjai W., Dejdumrong N.

Publisher: Hindawi

Publication year: 2009

Start page: 264

End page: 269

Number of pages: 6

ISBN: 9780769537894

ISSN: 0146-9428

eISSN: 1745-4557

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-70549089890&doi=10.1109%2fCGIV.2009.92&partnerID=40&md5=e7d3d9aaf85fd872173f62ad4c01b7ae

Languages: English-Great Britain (EN-GB)

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Abstract

A new model of bivariate bases on triangular patches is proposed by applying the univariate bases proposed by Dejdumrong [4]. In this paper, some geometric properties and its efficient recursive formulae are provided. Its fast recursive evaluation algorithm is also obtained in terms of a quadratic time complexity. Thus, it is shown that this type of surfaces is obviously more efficient than the traditional triangular B้zier surfaces or other kinds of triangular patches. In addition, it is also practical for interactive geometric modeling. ฉ 2009 IEEE.

Keywords

Triangular surfaces