FITTING CONIC SECTIONS TO SCATTERED DATA

被引：341
作者：
BOOKSTEIN, FL
机构：
[1] Center for Human Growth, Development The University of Michigan, Ann Arbor
[2] Departments of Statistics and Biostatistics, The University of Michigan, Ann Arbor
来源：
COMPUTER GRAPHICS AND IMAGE PROCESSING | 1979年 / 9卷 / 01期
关键词：
D O I：
10.1016/0146-664X(79)90082-0
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The problem of fitting conic sections to scattered data has arisen in several applied literatures. The quadratic fromAx2 + Bxy + Cy2 + Dx + Ey + F that is minimized in mean-square is proportional to the ratio of two squared distances along rays through the center of a conic. Considerations of invariance under translation, rotation, and scaling of the data configuration lead to a straightforward method of estimation somewhat different from earlier suggestions. The method permits an extension to conic splines around extended digitized curves, expediting a smooth reconstruction of their curvature. Some examples are presented indicating how the technique might be applied in morphometrics. © 1979 Academic Press, Inc.
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页码：56 / 71
页数：16
相关论文
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