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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2005, Vol. 6 Issue (Supplement 1): 108-115    DOI: 10.1007/BF02887225
Computer and Information Science     
Computation of lower derivatives of rational triangular Bézier surfaces and their bounds estimation
ZHANG Lei, WANG Guo-jin
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Abstract  By introducing the homogenous coordinates, degree elevation formulas and combinatorial identities, also by using multiplication of Bernstein polynomials and identity transformation on equations, this paper presents some explicit formulas of the first and second derivatives of rational triangular Bézier surface with respect to each variable (including the mixed derivative) and derives some estimations of bound both on the direction and magnitude of the corresponding derivatives. All the results above have value not only in surface theory but also in practice.

Key words： Computer Aided Geometric Design      Derivative      Rational triangular Bézier surface      Bound     
CLC:  TP391  
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ZHANG Lei
WANG Guo-jin
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ZHANG Lei, WANG Guo-jin. Computation of lower derivatives of rational triangular Bézier surfaces and their bounds estimation. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6(Supplement 1): 108-115.

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http://www.zjujournals.com/xueshu/zjus-a/10.1007/BF02887225     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2005/V6/ISupplement 1/108

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