A Variational Model for Multiplicative Structured Noise Removal

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• 作者：Paul Escande ; Pierre Weiss ; Wenxing Zhang
• 关键词：Denoising ; Multiplicative noise ; Stationary noise ; Variational method ; Convex optimization
• 刊名：Journal of Mathematical Imaging and Vision
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：57
• 期：1
• 页码：43-55
• 全文大小：
• 刊物类别：Computer Science
• 刊物主题：Image Processing and Computer Vision; Applications of Mathematics; Signal,Image and Speech Processing; Mathematical Methods in Physics;
• 出版者：Springer US
• ISSN：1573-7683
• 卷排序：57

文摘

We consider the problem of restoring images impaired by noise that is simultaneously structured and multiplicative. Our primary motivation for this setting is the selective plane illumination microscope which often suffers from severe inhomogeneities due to light absorption and scattering. This type of degradation arises in other imaging devices such as ultrasonic imaging. We model the multiplicative noise as a stationary process with known distribution. This leads to a novel convex image restoration model based on a maximum a posteriori estimator. After establishing some analytical properties of the minimizers, we finally propose a fast optimization method on GPU. Numerical experiments on 2D fluorescence microscopy images demonstrate the usefulness of the proposed models in practical applications.