自动化技术、电信技术 |
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端点约束加权正交基与Bernstein基的转换及应用 |
蔡华辉1,2, 王国瑾1 |
1.浙江大学 CAD&CG国家重点实验室,浙江 杭州 310027; 2.景德镇陶瓷学院 信息工程学院,江西 景德镇 333403 |
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Transformation between weighted orthogonal basis satisfying
end point constraints and Bernstein basis and its application |
CAI Hua-hui1,2, WANG Guo-Jin1 |
1. State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou 310027, China;
2. School of Information Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, China |
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[3] RABABAH A, ALNATOUR M. Weighted dual functions for Bernstein basis satisfying boundary constraints [J]. Applied Mathematics and Computation, 2008, 199(2): 456-463.
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[9] 王国瑾,喻春明.Bézier曲线约束降多阶算法的分析与比较[J].浙江大学学报:工学版,2007,41(11): 1805-1809.
WANG Guojin, YU Chunming. Analysis and comparison of algorithms for multidegree reduction with constrained Bézier curves [J]. Journal of Zhejiang University: Engineering Science, 2007, 41(11): 1805-1809.
[10] CHEN G D, WANG G J. Optimal multidegree reduction of Bézier curves with constraints of endpoints continuity [J]. Computer Aided Geometric Design, 2002, 19(6): 365-377.
[11] SUNWOO H. Matrix representation for multidegree reduction of Bézier curves [J]. Computer Aided Geometric Design, 2005, 22(3): 261-273.
[12] RABABAH A, LEE BG, YOO J. Multiple degree reduction and elevation of Bézier curves using JacobiBernstein Basis transformations [J]. Numerical Functional Analysis and Optimization, 2007, 28(9/10): 1179-1196.
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[14] MASON J C, HANDSCOMB J C. Chebyshev polynomials [M]. Florida: Chapman, 2002: 165-173. |
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