AFFINE THEOREM FOR 2-DIMENSIONAL FOURIER-TRANSFORM

被引:103
作者
BRACEWELL, RN
CHANG, KY
JHA, AK
WANG, YH
机构
[1] Electrical Engineering Department, Stanford University, Stanford
关键词
FOURIER TRANSFORM; TRANSFORMS;
D O I
10.1049/el:19930207
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The well known shift and similarity theorems for the Fourier transform generalise to two dimensions but new theorems come into existence in two dimensions. Simple theorems for rotation and shear distortion are examples. A theorem is Presented which determines what the Fourier transform becomes when the function domain is subjected to an affine co-ordinate transformation. The full theorem contains a variety of simpler theorems as special cases. It may prove useful in its general form in image processing where sequences of affine transformations are applied.
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页码:304 / 304
页数:1
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