Bayesian wavelet-based denoising of multicomponent images

Paul Scheunders; Steve De Backer; Aleksandra Pizurica; Bruno Huysmans; Wilfried Philips

doi:10.1117/12.732338

2 October 2007 Bayesian wavelet-based denoising of multicomponent images

Paul Scheunders, Steve De Backer, Aleksandra Pizurica, Bruno Huysmans, Wilfried Philips

Proceedings Volume 6763, Wavelet Applications in Industrial Processing V; 67630K (2007) https://doi.org/10.1117/12.732338
Event: Optics East, 2007, Boston, MA, United States

Abstract

In this paper, we study denoising of multicomponent images. We present a framework of spatial wavelet-based denoising techniques, based on Bayesian least-squares optimization procedures, using prior models for the wavelet coefficients that account for the correlations between the image components. Within this framework, multicomponent prior models for the wavelet coefficients are required that a) fully account for the interband correlations between the image components, and b) approximate well the marginal distributions of the wavelet coefficients. For this, multicomponent heavy tailed models are applied. We analyze three mixture priors: Gaussian scale mixture (GSM) models, Laplacian mixture models and Bernoulli-Gaussian mixture models. As an extension of the Bayesian framework, we propose a framework that also accounts for the correlation between the multicomponent image and an auxiliary noise-free image, in order to improve the SNR of the first. For this, a GSM prior model was applied. Experiments are conducted in the domain of remote sensing in both, simulated and real noisy conditions.

Citation Download Citation

Paul Scheunders, Steve De Backer, Aleksandra Pizurica, Bruno Huysmans, and Wilfried Philips "Bayesian wavelet-based denoising of multicomponent images", Proc. SPIE 6763, Wavelet Applications in Industrial Processing V, 67630K (2 October 2007); https://doi.org/10.1117/12.732338

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