A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Characterization of Signals from Multiscale Edges
IEEE Transactions on Pattern Analysis and Machine Intelligence
Neural Networks - Special issue: automatic target recognition
Atomic Decomposition by Basis Pursuit
SIAM Journal on Scientific Computing
International Journal of Computer Vision - Special issue on computer vision research at NEC Research Institute
A Parametric Texture Model Based on Joint Statistics of Complex Wavelet Coefficients
International Journal of Computer Vision - Special issue on statistical and computational theories of vision: modeling, learning, sampling and computing, Part I
The Problem of Sparse Image Coding
Journal of Mathematical Imaging and Vision
The Design and Analysis of Efficient Lossless Data Compression Systems
The Design and Analysis of Efficient Lossless Data Compression Systems
Image Compression using an Efficient Edge Cartoon + Texture Model
DCC '02 Proceedings of the Data Compression Conference
Image compression using an edge adapted redundant dictionary and wavelets
Signal Processing - Sparse approximations in signal and image processing
Self-Invertible 2D Log-Gabor Wavelets
International Journal of Computer Vision
Adaptive wavelet thresholding for image denoising and compression
IEEE Transactions on Image Processing
Image denoising using scale mixtures of Gaussians in the wavelet domain
IEEE Transactions on Image Processing
Image decomposition via the combination of sparse representations and a variational approach
IEEE Transactions on Image Processing
The contourlet transform: an efficient directional multiresolution image representation
IEEE Transactions on Image Processing
Sparse overcomplete Gabor wavelet representation based on local competitions
IEEE Transactions on Image Processing
Coding static natural images using spiking event times: do neurons Cooperate?
IEEE Transactions on Neural Networks
Iterated tensor voting and curvature improvement
Signal Processing
Self-Invertible 2D Log-Gabor Wavelets
International Journal of Computer Vision
Class specific redundancies in natural images: a theory of extrastriate visual processing
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Role of homeostasis in learning sparse representations
Neural Computation
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Several drawbacks of critically sampled wavelets can be solved by overcomplete multiresolution transforms and sparse approximation algorithms. Facing the difficulty to optimize such nonorthogonal and nonlinear transforms, we implement a sparse approximation scheme inspired from the functional architecture of the primary visual cortex. The scheme models simple and complex cell receptive fields through log-Gabor wavelets. The model also incorporates inhibition and facilitation interactions between neighboring cells. Functionally these interactions allow to extract edges and ridges, providing an edge-based approximation of the visual information. The edge coefficients are shown sufficient for closely reconstructing the images, while contour representations by means of chains of edges reduce the information redundancy for approaching image compression. Additionally, the ability to segregate the edges from the noise is employed for image restoration.