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Other Publications Year : 2012

A relaxation result for an inhomogeneous functional preserving point-like and curve-like singularities in image processing

Daniele Graziani
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Abstract

In the present paper we address a relaxation theorem for a new integral functional of the calculus of variations de ned on the space of functions in W1;p loc whose gradient is an Lp-vector eld with distributional divergence given by a Radon measure. The result holds for integrand of type f(x; u) without any coerciveness condition, with respect to the second variable, and C1-continuity assumptions with respect to the spatial variable x.
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Dates and versions

inria-00536206 , version 1 (16-11-2010)
inria-00536206 , version 2 (12-09-2012)
inria-00536206 , version 3 (19-09-2012)

Identifiers

  • HAL Id : inria-00536206 , version 3

Cite

Gilles Aubert, Daniele Graziani. A relaxation result for an inhomogeneous functional preserving point-like and curve-like singularities in image processing. 2012. ⟨inria-00536206v3⟩
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