DocumentCode :
2046787
Title :
A New Unified Model of Univariate and Bivariate Bases for Curves, Rectangular Surfaces and Triangular surfaces
Author :
Jangchai, Jaratpong ; Dejdumrong, Natasha
Author_Institution :
Dept. of Comput. Eng., King Mongkut´´s Univ. of Technol. Thonburi, Bangkok, Thailand
fYear :
2009
fDate :
11-14 Aug. 2009
Firstpage :
222
Lastpage :
227
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 Bezier curve and this proposed curve are defined. Finally, a new proposed rectangular and triangular basis functions are also presented with their surface definitions.
Keywords :
computational complexity; computational geometry; computer graphics; matrix algebra; polynomials; Bezier curve; blending functions; coefficient matrix representation; control points; linear computation; polynomial curve modeling; rectangular basis functions; recursive algorithm; triangular basis functions; Computational complexity; Computer graphics; Interpolation; Partitioning algorithms; Polynomials; Shape; Solid modeling; Visualization; Bezier curve; DP curve; Dejdumrong curve; Linear complexity; Rectangular surfaces; Said-Ball curve; Triangular surfaces; Wang-Ball curve;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Computer Graphics, Imaging and Visualization, 2009. CGIV '09. Sixth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3789-4
Type :
conf
DOI :
10.1109/CGIV.2009.75
Filename :
5298188
Link To Document :
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