A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fundamentals of statistical signal processing: estimation theory
Fundamentals of statistical signal processing: estimation theory
Signal Processing for Computer Vision
Signal Processing for Computer Vision
Hidden Markov tree modeling of complex wavelet transforms
ICASSP '00 Proceedings of the Acoustics, Speech, and Signal Processing, 2000. on IEEE International Conference - Volume 01
Determining multiscale image feature angles from complex wavelet phases
ICIAR'05 Proceedings of the Second international conference on Image Analysis and Recognition
Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency
IEEE Transactions on Signal Processing
Wavelet-based statistical signal processing using hidden Markovmodels
IEEE Transactions on Signal Processing
Second-order analysis of improper complex random vectors and processes
IEEE Transactions on Signal Processing
Second-order complex random vectors and normal distributions
IEEE Transactions on Signal Processing
The Shiftable Complex Directional Pyramid—Part I: Theoretical Aspects
IEEE Transactions on Signal Processing - Part I
The Estimation of Laplace Random Vectors in Additive White Gaussian Noise
IEEE Transactions on Signal Processing - Part I
Analysis of multiresolution image denoising schemes using generalized Gaussian and complexity priors
IEEE Transactions on Information Theory
Proper complex random processes with applications to information theory
IEEE Transactions on Information Theory
Image denoising using scale mixtures of Gaussians in the wavelet domain
IEEE Transactions on Image Processing
Image quality assessment: from error visibility to structural similarity
IEEE Transactions on Image Processing
Analytical form for a Bayesian wavelet estimator of images using the Bessel K form densities
IEEE Transactions on Image Processing
Image Restoration Using Space-Variant Gaussian Scale Mixtures in Overcomplete Pyramids
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Image Denoising Using Derotated Complex Wavelet Coefficients
IEEE Transactions on Image Processing
Image Modeling and Denoising With Orientation-Adapted Gaussian Scale Mixtures
IEEE Transactions on Image Processing
Image denoising with anisotropic bivariate shrinkage
Signal Processing
Statistical texture retrieval in noise using complex wavelets
Image Communication
| Hi-index | 35.68 |
In this paper, we propose the complex Gaussian scale mixture (CGSM) to model the complex wavelet coefficients as an extension of the Gaussian scale mixture (GSM), which is for realvalued random variables to the complex case. Along with some related propositions and miscellaneous results, we present the probability density functions of the magnitude and phase of the complex random variable. Specifically, we present the closed forms of the probability density function (pdf) of the magnitude for the case of complex generalized Gaussian distribution and the phase pdf for the general case. Subsequently, the pdf of the relative phase is derived. The CGSM is then applied to image denoising using the Bayes least-square estimator in several complex transform domains. The experimental results showthat using theCGSMof complex wavelet coefficients visually improves the quality of denoised images from the real case.