Journal
MULTISCALE MODELING & SIMULATION
Volume 6, Issue 1, Pages 190-211Publisher
SIAM PUBLICATIONS
DOI: 10.1137/060663027
Keywords
multiscale image decomposition; total variation; L-1 distance; feature selection; geometry optimization
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This paper studies the total variation regularization with an L-1 fidelity term (TV-L-1) model 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-L-1 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-L-1 model are also proved and their applications discussed.
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