Moment forms invariant to rotation and blur in arbitrary number of dimensions

被引:67
作者
Flusser, J [1 ]
Boldys, J [1 ]
Zitová, B [1 ]
机构
[1] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague 8, Czech Republic
关键词
N-D imaging; rotation invariants; blur invariants; group representation theory; image matching;
D O I
10.1109/TPAMI.2003.1177154
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We present the construction of combined blur and rotation moment invariants in arbitrary number of dimensions. Moment invariants to convolution with an arbitrary centrosymmetric filter are derived first, and then their rotationally invariant forms are found by means of group representation theory to achieve the desired combined invariance. Several examples of the invariants are calculated explicitly to illustrate the proposed procedure. Their invariance, robustness, and capability of using in template matching and in image registration are demonstrated on 3D MRI data and 2D indoor images.
引用
收藏
页码:234 / 246
页数:13
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