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基于权因子调整的NURBS曲线形状修改算法及其在人脸建模中的应用
引用本文:郭镔,周登文. 基于权因子调整的NURBS曲线形状修改算法及其在人脸建模中的应用[J]. 计算机研究与发展, 2004, 41(1): 142-147
作者姓名:郭镔  周登文
作者单位:清华大学计算机科学与技术系,北京,100084;华北电力大学计算机科学系,北京,102206
基金项目:高等学校博士学科点专项科研基金项目 ( 2 0 0 2 0 0 0 3 0 5 1)
摘    要:提出了一种修改NURBS曲线形状的新算法.该算法运用约束优化方法,通过调整原始曲线的多个控制顶点的权因子,使得修改后的曲线更加自然地通过给定的目标点,推导出了用于计算新权因子的3变量线性方程组,并在此基础上,针对人脸建模中的具体问题,设计了一种基于NURBS曲线形状调整的人脸轮廓线编辑算法,实验结果表明了该算法的有效性。

关 键 词:NURBS曲线  权因子  形状修改  约束优化  人脸建模

Weight-Based Shape Modification of NURBS Curve and Its Application in Face Modeling
GUO Bin and ZHOU Deng-Wen. Weight-Based Shape Modification of NURBS Curve and Its Application in Face Modeling[J]. Journal of Computer Research and Development, 2004, 41(1): 142-147
Authors:GUO Bin and ZHOU Deng-Wen
Affiliation:GUO Bin 1 and ZHOU Deng-Wen 2 1
Abstract:A new method for shape modification of NURBS curves is presented. By using the constrained optimization method, the weights of original curve are changed such that the modified curve passes through a given target point more naturally. A linear equation system with only 3 variables is derived to compute the new weights. Based on the proposed method, an algorithm for contour edition of a 3D face model is also presented considering the specific problem in face modeling. Experimental results demonstrate the effectiveness of the algorithm.
Keywords:NURBS curves  weights  shape modification  constrained optimization  face modeling
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