Distances between oriented curves in geometric modeling

被引:0
作者
Przemyslaw Bogacki
Stanley Weinstein
Yuesheng Xu
机构
[1] Old Dominion University,Department of Mathematics and Statistics
[2] North Dakota State University,Department of Mathematics
来源
Advances in Computational Mathematics | 1997年 / 7卷
关键词
Geometric Modeling; Triangle Inequality; Straight Line Segment; Geometric Design; Degree Reduction;
D O I
暂无
中图分类号
学科分类号
摘要
We consider the choice of a functional to measure the distance between two parametric curves. We identify properties of such a distance functional that are important for geometric design. Several popular definitions of distance are examined, and new functionals are presented which satisfy the desired properties.
引用
收藏
页码:593 / 621
页数:28
相关论文
共 9 条
[1]  
Bogacki P.(1995)Degree reduction of Bézier curves by uniform approximation with endpoint interpolation Computer Aided Design 27 651-661
[2]  
Weinstein S.E.(1995)Least squares degree reduction of Bézier curves Computer Aided Design 27 845-851
[3]  
Xu Y.(1994)Chebyshev approximation of plane curves by splines Journal of Approximation Theory 76 133-148
[4]  
Eck M.(1986)The definition and computation of a metric on plane curves Computer Aided Design 18 25-28
[5]  
Eisele E.F.(1987)Approximate conversion of spline curves Computer Aided Geometric Design 4 59-66
[6]  
Emery J.D.(1994)Alignment of planar curves Image and Vision Computing 12 305-311
[7]  
Hoschek J.(undefined)undefined undefined undefined undefined-undefined
[8]  
Meek D.S.(undefined)undefined undefined undefined undefined-undefined
[9]  
Walton D.J.(undefined)undefined undefined undefined undefined-undefined