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A projection Residual Technique with a finite element scheme for IMAGE DECOMPOSITION

F. Z. Nouri, A. Hadji

Abstract



In this work , we present a decomposition of an image containing texture, into a sum u + v, where the first component u is the structure part and the second component v contains both textures and noise. Our approach combines a model proposed by Tadmor et al (2004, 2009 and 2011), using an integro-differential equation, a model due to Y. Meyer (2001) and a projection residual technique to preserve textures. For numerical approximation the finite
difference methods are usually used in image processing, while here we use a new scheme based on finite elements of a particular type.

Keywords


Integro-differential Equations, Finite Elements, Image Decomposition.

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