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Least-Squares Contour Alignment

delete2009-01-01
delete17
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OA
AI
I
Ivan Markovsky *
S
Sasan Mahmoodi
DOI:10.1109/LSP.2008.2008588delete
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摘要

摘要

En 中文
The contour alignment problem, considered in this letter, is to compute the minimal distance in a least-squares sense, between two explicitly represented contours, specified by corresponding points, after arbitrary rotation, scaling, and translation of one of the contours. This is a constrained nonlinear optimization problem with respect to the translation, rotation, and scaling parameters; however, it is transformed into an equivalent linear least-squares problem by a nonlinear change of variables. Therefore, a global solution of the contour alignment problem can be computed efficiently. It is shown that a normalized minimum value of the cost function is invariant to ordering and affine transformation of the contours and can be used as a measure for the distance between the contours. A solution is proposed to the problem of finding a point correspondence between the contours.
Keyword:
Contour alignment
image registration
invariance
least squares
rotation
scaling
translation
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期刊

IEEE Signal Processing Magazine 封面图
IEEE Signal Processing Magazine
IF:
9.6
论文数:
1.1W
被引数:
1.7W

机构

U
university of southampton
学者数:
3.3W
论文数: 3.2W
被引数: 52
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