Title: Lapped transform-based image denoising with the generalised Gaussian prior

Authors: Vijay Kumar Nath; Deepika Hazarika; Anil Mahanta

Addresses: Department of Electronics and Communication Engineering, School of Engineering, Tezpur University, Napaam, Tezpur, Assam, 784028, India ' Department of Electronics and Communication Engineering, School of Engineering, Tezpur University, Napaam, Tezpur, Assam, 784028, India ' Department of Electronics and Electrical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam, 781039, India

Abstract: We introduce a new image denoising method based on the statistical modelling of dyadic rearranged lapped transform (LT) coefficients. Based on Kolomogrov-Smirnov (KS) goodness of fit test, we have shown that the statistical distribution of the dyadic rearranged LT coefficients in a subband is best approximated by the generalised Gaussian distribution. A Bayesian minimum mean square error (MMSE) estimator is used to obtain the estimate of noise free coefficients, which is based on modelling the global distribution of the dyadic rearranged LT coefficients using generalised Gaussian distribution. The LT-based image denoising method with generalised Gaussian prior shows highly encouraging (both objective and subjective) results when compared to several well-known image denoising methods.

Keywords: lapped transform; generalised Gaussian distribution; image denoising; Kolomogrov-Smirnov test; Bayesian MMSE estimator; minimum mean square error; statistical modelling.

DOI: 10.1504/IJCVR.2014.059365

International Journal of Computational Vision and Robotics, 2014 Vol.4 No.1/2, pp.55 - 74

Received: 01 Apr 2013
Accepted: 21 Jul 2013

Published online: 18 Feb 2014 *

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