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- W63552215 abstract "We consider a variational approach to the problem of recovering missing parts in a panchromatic digital image. Representing the image by a scalar function u, we propose a model based on the relaxation of the energy $$int {|nabla u|(alpha + beta {{left| {divfrac{{nabla u}}{{|nabla u|}}} right|}^p}), alpha ,beta > 0, p geqslant 1}$$which takes into account the perimeter of the level sets of u as well as the LP norm of the mean curvature along their boundaries. We investigate the properties of this variational model and the existence of minimizing functions in BV. We also address related issues for integral varifolds with generalized mean curvature in LP." @default.
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- W63552215 date "2005-01-01" @default.
- W63552215 modified "2023-10-10" @default.
- W63552215 title "On a variational problem arising in image reconstruction." @default.
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