Bibliographic Details
| Title: |
MINIMIZATION PROBLEMS AND ASSOCIATED FLOWS RELATED TO WEIGHTED p ENERGY AND TOTAL VARIATION. |
| Authors: |
Yunmer Chen, Rao, Murali |
| Superior Title: |
SIAM Journal on Mathematical Analysis. 2003, Vol. 34 Issue 5, p1084. 21p. |
| Subject Terms: |
*IMAGE reconstruction, *SPACE groups, *PARABOLIC differential equations, *PARTIAL differential equations, *EQUATIONS |
| Abstract: |
Motivated by the problem of edge preserving regularization in image restoration, in this paper we investigate the relations between weighted p energy based and total variation based minimization problems and their associated flows. We prove that, the weighted total variation based minimization and its associated flow in a weakened formulation carl be approximated by the weighted p energy based minimization and its associated flows, respectively. Moreover, we show that the flow of the weighted total variation based minimization converges weakly in BV and strongly in L² to the minimizer as t → ∞. [ABSTRACT FROM AUTHOR] |
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| Database: |
Academic Search Premier |