A New Unified Model of Univariate and Bivariate Bases for Curves, Rectangular surfaces and Triangular surfaces
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Publication Details
Author list: Jangchai J., Dejdumrong N.
Publisher: Hindawi
Publication year: 2009
Start page: 222
End page: 227
Number of pages: 6
ISBN: 9780769537894
ISSN: 0146-9428
eISSN: 1745-4557
Languages: English-Great Britain (EN-GB)
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Abstract
In this paper, a new basis for polynomial curve modeling is presented with its linear computation. This new proposed curve can be formed by the convex combination of its blending functions and related control points. Moreover, several important geometric properties for this curve are identified, for examples, a partition of unity, convex hull property and symmetry. Later the recursive algorithm, coefficient matrix representation, the derivatives and the relationships between B้zier curve and this proposed curve are defined. Finally, a new proposed rectangular and triangular basis functions are also presented with their surface definitions. ฉ 2009 IEEE.
Keywords
Dejdumrong curve, Dp curve, Rectangular surfaces, Said-ball curve, Triangular surfaces, Wang-ball curve
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