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The Mumford-Shah functional for image segmentation is an original approach
of the image segmentation problem, based on a minimal energy criterion. Its
minimization can be seen as a free discontinuity problem and is based on
-convergence and bounded variation functions theories. Some new
regularization results, make possible to imagine a finite element resolution
method. In a first time, the Mumford-Shah functional is
introduced and some existing results are quoted. Then, a
discrete formulation...
We present, analyze, and implement a new method for the design of the stiffest structure subject to a pressure load or a given field of internal forces. Our structure is represented as a subset of a reference domain, and the complement of is made of two other “phases”, the “void” and a fictitious “liquid” that exerts a pressure force on its interface with the solid structure. The problem we consider is to minimize the compliance of the structure , which is the total work of the pressure and...
We present, analyze, and implement a new method for the design of
the stiffest structure subject to a pressure load or a given field
of internal forces. Our structure is represented as a subset of
a reference domain, and the complement of is made of two other
“phases”, the “void” and a fictitious “liquid” that exerts a
pressure force on its interface with the solid structure. The
problem we consider is to minimize the compliance of the structure
, which is the total work of the pressure...
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