The Total Variation Regularized L1 Model for Multiscale Decomposition

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dc.contributor.authorYin, Wotaoen_US
dc.contributor.authorGoldfarb, Donalden_US
dc.contributor.authorOsher, Stanleyen_US
dc.date.accessioned2018-06-18T17:57:38Zen_US
dc.date.available2018-06-18T17:57:38Zen_US
dc.date.issued2006-11en_US
dc.date.noteNovember 2006en_US
dc.description.abstractThis paper studies the total variation regularization model with an L1 fidelity term (TV-L1) for decomposing an image into features of different scales. We first show that the images produced by this model can be formed from the minimizers of a sequence of decoupled geometry subproblems. Using this result we show that the TV-L1 model is able to separate image features according to their scales, where the scale is analytically defined by the G-value. A number of other properties including the geometric and morphological invariance of the TV-L1 model are also proved and their applications discussed.en_US
dc.format.extent23 ppen_US
dc.identifier.citationYin, Wotao, Goldfarb, Donald and Osher, Stanley. "The Total Variation Regularized L1 Model for Multiscale Decomposition." (2006) <a href="https://hdl.handle.net/1911/102062">https://hdl.handle.net/1911/102062</a>.en_US
dc.identifier.digitalTR06-16en_US
dc.identifier.urihttps://hdl.handle.net/1911/102062en_US
dc.language.isoengen_US
dc.titleThe Total Variation Regularized L1 Model for Multiscale Decompositionen_US
dc.typeTechnical reporten_US
dc.type.dcmiTexten_US
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