Monthly
288 pp. per issue
6 x 9, illustrated
ISSN
0899-7667
E-ISSN
1530-888X
2014 Impact factor:
2.21

Neural Computation

December 1, 2004, Vol. 16, No. 12, Pages 2563-2575
(doi: 10.1162/0899766042321760)
© 2004 Massachusetts Institute of Technology
Image Representation by Complex Cell Responses
Article PDF (96.26 KB)
Abstract

We present an analysis of the representation of images as the magnitudes of their transform with complex-valued Gabor wavelets. Such a representation is a model for complex cells in the early stage of visual processing and of high technical usefulness for image understanding, because it makes the representation insensitive to small local shifts. We show that if the images are band limited and of zero mean, then reconstruction from the magnitudes is unique up to the sign for almost all images.