Image representation by complex cell responses.
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.
Wundrich
Ingo J
IJ
Institut für Neuroinformatik, Ruhr-Universität Bochum, D-44780 Bochum, Germany. Ingo.Wundrich@neuroinformatik.ruhr-uni-bochum.de
von der Malsburg
Christoph
C
Würtz
Rolf P
RP
D000465:Algorithms; D005583:Fourier Analysis; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D008959:Models, Neurological; D009474:Neurons / Q000502:physiology*; D017711:Nonlinear Dynamics