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21 July 2017 Multiplicative noise removal through fractional order tv-based model and fast numerical schemes for its approximation
Asmat Ullah, Wen Chen, Mushtaq Ahmad Khan
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Proceedings Volume 10420, Ninth International Conference on Digital Image Processing (ICDIP 2017); 104202J (2017) https://doi.org/10.1117/12.2281822
Event: Ninth International Conference on Digital Image Processing (ICDIP 2017), 2017, Hong Kong, China
Abstract
This paper introduces a fractional order total variation (FOTV) based model with three different weights in the fractional order derivative definition for multiplicative noise removal purpose. The fractional-order Euler Lagrange equation which is a highly non-linear partial differential equation (PDE) is obtained by the minimization of the energy functional for image restoration. Two numerical schemes namely an iterative scheme based on the dual theory and majorization-- minimization algorithm (MMA) are used. To improve the restoration results, we opt for an adaptive parameter selection procedure for the proposed model by applying the trial and error method. We report numerical simulations which show the validity and state of the art performance of the fractional-order model in visual improvement as well as an increase in the peak signal to noise ratio comparing to corresponding methods. Numerical experiments also demonstrate that MMAbased methodology is slightly better than that of an iterative scheme.
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Asmat Ullah, Wen Chen, and Mushtaq Ahmad Khan "Multiplicative noise removal through fractional order tv-based model and fast numerical schemes for its approximation", Proc. SPIE 10420, Ninth International Conference on Digital Image Processing (ICDIP 2017), 104202J (21 July 2017); https://doi.org/10.1117/12.2281822
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KEYWORDS
Calculus
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