Functional minimization problems in image processing

Yunho Kim; Luminita A. Vese

doi:10.1117/12.775699

26 February 2008 Functional minimization problems in image processing

Yunho Kim, Luminita A. Vese

Proceedings Volume 6814, Computational Imaging VI; 68140Q (2008) https://doi.org/10.1117/12.775699
Event: Electronic Imaging, 2008, San Jose, California, United States

Abstract

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.

Citation Download Citation

Yunho Kim and Luminita A. Vese "Functional minimization problems in image processing", Proc. SPIE 6814, Computational Imaging VI, 68140Q (26 February 2008); https://doi.org/10.1117/12.775699

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