We present an analysis of the representation of images as the magnitudes of their transform with complex-valued Gabor wavelets. Such a represen-tation 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.
A long standing question of biological vision research is to identify the computational goal underly...
Several drawbacks of critically sampled wavelets can be solved by overcomplete multiresolution tran...
International audienceThe receptive fields of simple cells in the visual cortex can be understood as...
We present an analysis of the representation of images as the mag-nitudes of their transform with co...
Abstract. We present an analysis of the representation of images as the magnitudes of their transfor...
The receptive fields of simple cells in the visual cortex can be understood as linear filters. These...
In this paper, we present an analytical analysis of the representation of images as the magnitudes o...
Introduction II. Joint space-frequency representations and wavelets. A. Joint representations. Wigne...
International audienceThe receptive fields of simple cells in the visual cortex can be understood as...
AbstractPrimate’s primary visual cortex (V1) is dominated by complex cells. This choice of nature se...
International audienceIt is well-established that simple cells in the primate visual cortex can be u...
We review Gabor's Uncertainty Principle and the limits it places on the representation of any s...
Conference PaperThe recent development of a nonredundant complex wavelet transform allows a novel fr...
This paper extends to two dimensions the frame criterion developed by Daubechies for one-dimensional...
A long standing question of biological vision research is to identify the computational goal underly...
A long standing question of biological vision research is to identify the computational goal underly...
Several drawbacks of critically sampled wavelets can be solved by overcomplete multiresolution tran...
International audienceThe receptive fields of simple cells in the visual cortex can be understood as...
We present an analysis of the representation of images as the mag-nitudes of their transform with co...
Abstract. We present an analysis of the representation of images as the magnitudes of their transfor...
The receptive fields of simple cells in the visual cortex can be understood as linear filters. These...
In this paper, we present an analytical analysis of the representation of images as the magnitudes o...
Introduction II. Joint space-frequency representations and wavelets. A. Joint representations. Wigne...
International audienceThe receptive fields of simple cells in the visual cortex can be understood as...
AbstractPrimate’s primary visual cortex (V1) is dominated by complex cells. This choice of nature se...
International audienceIt is well-established that simple cells in the primate visual cortex can be u...
We review Gabor's Uncertainty Principle and the limits it places on the representation of any s...
Conference PaperThe recent development of a nonredundant complex wavelet transform allows a novel fr...
This paper extends to two dimensions the frame criterion developed by Daubechies for one-dimensional...
A long standing question of biological vision research is to identify the computational goal underly...
A long standing question of biological vision research is to identify the computational goal underly...
Several drawbacks of critically sampled wavelets can be solved by overcomplete multiresolution tran...
International audienceThe receptive fields of simple cells in the visual cortex can be understood as...