Using Projection Kurtosis Concentration Of Natural Images For Blind Noise Covariance Matrix Estimation

Xing Zhang, Siwei Lyu; Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 2014, pp. 2870-2876

Abstract


Kurtosis of 1D projections provides important statistical characteristics of natural images. In this work, we first provide a theoretical underpinning to a recently observed phenomenon known as projection kurtosis concentration that the kurtosis of natural images over different band-pass channels tend to concentrate around a typical value. Based on this analysis, we further describe a new method to estimate the covariance matrix of correlated Gaussian noise from a noise corrupted image using random band-pass filters. We demonstrate the effectiveness of our blind noise covariance matrix estimation method on natural images.

Related Material


[pdf]
[bibtex]
@InProceedings{Zhang_2014_CVPR,
author = {Zhang, Xing and Lyu, Siwei},
title = {Using Projection Kurtosis Concentration Of Natural Images For Blind Noise Covariance Matrix Estimation},
booktitle = {Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR)},
month = {June},
year = {2014}
}