A COMBINED FIRST-ORDER AND SECOND-ORDER VARIATION APPROACH FOR MULTIPLICATIVE NOISE REMOVAL. (October 2014)

• Record Type: Journal Article
• Authors: JIANG, LE; HUANG, JIN; LIU, JUN; LV, XIAO-GUANG
• Is Part Of: ANZIAM journal. Volume 56:Number 2(2014)
• Page Start: 116
• Page End: 137
• Publication Date: 2014-10
• Subjects: 510.5
• DOI: 10.1017/S1446181114000339
• Languages: English
• ISSNs: 1446-1811

Abstract

<abstract> <title>Abstract</title> <p>Denoising of images corrupted by multiplicative noise is an important task in various applications, such as laser imaging, synthetic aperture radar and ultrasound imaging. We propose a combined first-order and second-order variational model for removal of multiplicative noise. Our model substantially reduces the staircase effects while preserving edges in the restored images, since it combines advantages of the first-order and second-order total variation. The issues of existence and uniqueness of a minimizer for this variational model are analysed. Moreover, a gradient descent method is employed to solve the associated Euler–Lagrange equation, and several numerical experiments are given to show the efficiency of our model. In particular, a comparison with an existing model in terms of peak signal-to-noise ratio and structural similarity index is provided.</p> </abstract>