Nonlinear image representation using divisive normalization

In this paper, we describe a nonlinear image representation based on divisive normalization that is designed to match the statistical properties of photographic images, as well as the perceptual sensitivity of biological visual systems. We decompose an image using a multi-scale oriented representation, and use Student's t as a model of the dependencies within local clusters of coefficients. We then show that normalization of each coefficient by the square root of a linear combination of the amplitudes of the coefficients in the cluster reduces statistical dependencies. We further show that the resulting divisive normalization transform is invertible and provide an efficient iterative inversion algorithm. Finally, we probe the statistical and perceptual advantages of this image representation by examining its robustness to added noise, and using it to enhance image contrast.

• Type: Conference
• Year: 2008
• Where: CVPR
• Authors: Siwei Lyu, Eero P. Simoncelli
• Keywords: Computer Vision, CVPR 2008, Divisive Normalization Transform, Iterative Inversion Algorithm, Multi-scale Oriented Representation, Nonlinear Image Representation, Statistical Dependencies