26 February 2008 Functional minimization problems in image processing
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In this work we wish to recover an unknown image from a blurry version. We solve this inverse problem by energy minimization and regularization. We seek a solution of the form u + v, where u is a function of bounded variation (cartoon component), while v is an oscillatory component (texture), modeled by a Sobolev function with negative degree of differentiability. Experimental results show that this cartoon + texture model better recovers textured details in natural images, by comparison with the more standard models where the unknown is restricted only to the space of functions of bounded variation.
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Yunho Kim, Yunho Kim, Luminita A. Vese, Luminita A. Vese, } "Functional minimization problems in image processing", Proc. SPIE 6814, Computational Imaging VI, 68140Q (26 February 2008); doi: 10.1117/12.775699; https://doi.org/10.1117/12.775699

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