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• W2040663502 abstract "In this work we wish to recover an unknown image from a blurry, or noisy-blurry version. We solve this inverse problem by energyminimization and regularization. We seek a solution of the form $u + v$,where $u$ is a function of bounded variation (cartoon component), while $v$ isan oscillatory component (texture), modeled by a Sobolev function withnegative degree of differentiability. We give several results of existence and characterization of minimizers of the proposed optimization problem.Experimental results show that thiscartoon + 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." @default.
• W2040663502 created "2016-06-24" @default.
• W2040663502 creator A5024953837 @default.
• W2040663502 creator A5064779505 @default.
• W2040663502 date "2009-01-01" @default.
• W2040663502 modified "2023-10-14" @default.
• W2040663502 title "Image recovery using functions of bounded variation and Sobolev spaces of negative differentiability" @default.
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• W2040663502 doi "https://doi.org/10.3934/ipi.2009.3.43" @default.
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