Random Cascades of Gaussian Scale Mixtures and Their Use in Modeling Natural Images With Application to Denoising
نویسندگان
چکیده
images with application to denoising Martin J. Wainwright1 Eero P. Simoncelli2 Alan S. Willsky1 1Laboratory for Information & Decision Systems 2Center for Neural Science, and Electrical Engineering & Computer Science Courant Institute of Mathematical Sciences Massachusetts Institute of Technology New York University fmjwain,[email protected] [email protected] Published in: Proceedings of the 7th International Conference on Image Processing, Vancouver, BC, Canada. 10-13 September 2000. c IEEE Computer Society.
منابع مشابه
Random Cascades on Wavelet Trees and Their Use in Analyzing and Modeling Natural Images
We develop a new class of non-Gaussian multiscale stochastic processes defined by random cascades on trees of multiresolution coefficients. These cascades reproduce a semiparametric class of random variables known as Gaussian scale mixtures, members of which include many of the best known, heavy-tailed distributions. This class of cascade models is rich enough to accurately capture the remarkab...
متن کاملStatistical Modeling of Images with Fields of Gaussian Scale Mixtures
The local statistical properties of photographic images, when represented in a multi-scale basis, have been described using Gaussian scale mixtures (GSMs). Here, we use this local description to construct a global field of Gaussian scale mixtures (FoGSM). Specifically, we model subbands of wavelet coefficients as a product of an exponentiated homogeneous Gaussian Markov random field (hGMRF) and...
متن کاملAn Adaptive Hierarchical Method Based on Wavelet and Adaptive Filtering for MRI Denoising
MRI is one of the most powerful techniques to study the internal structure of the body. MRI image quality is affected by various noises. Noises in MRI are usually thermal and mainly due to the motion of charged particles in the coil. Noise in MRI images also cause a limitation in the study of visual images as well as computer analysis of the images. In this paper, first, it is proved that proba...
متن کاملComparative Analysis of Image Denoising Methods Based on Wavelet Transform and Threshold Functions
There are many unavoidable noise interferences in image acquisition and transmission. To make it better for subsequent processing, the noise in the image should be removed in advance. There are many kinds of image noises, mainly including salt and pepper noise and Gaussian noise. This paper focuses on the research of the Gaussian noise removal. It introduces many wavelet threshold denoising alg...
متن کاملImage Denoising using Gaussian Scale Mixtures in the Wavelet Domain
We describe a method for removing noise from digital images, based on a statistical model of the coefficients of an overcomplete multi-scale oriented basis. Neighborhoods of coefficients at adjacent positions and scales are modeled as the product of two independent random variables: a Gaussian vector and a hidden positive scalar multiplier. The latter modulates the local variance of the coeffic...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000