The Total Variation Regularized L1 Model for Multiscale Decomposition

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dc.contributor.authorYin, Wotao
dc.contributor.authorGoldfarb, Donald
dc.contributor.authorOsher, Stanley
dc.date.accessioned2018-06-18T17:57:38Z
dc.date.available2018-06-18T17:57:38Z
dc.date.issued2006-11
dc.date.noteNovember 2006
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.
dc.format.extent23 pp
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>.
dc.identifier.digitalTR06-16
dc.identifier.urihttps://hdl.handle.net/1911/102062
dc.language.isoeng
dc.titleThe Total Variation Regularized L1 Model for Multiscale Decomposition
dc.typeTechnical report
dc.type.dcmiText
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