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In recent years many researchers in material science have focused
their attention on the study of composite materials, equilibrium of
crystals and crack distribution in continua subject to loads. At
the same time several new issues in computer vision and image
processing have been studied in depth. The understanding of many of
these problems has made significant progress thanks to new methods
developed in calculus of variations, geometric measure theory and
partial differential equations. In particular, new technical tools
have been introduced and successfully applied. For example, in
order to describe the geometrical complexity of unknown patterns, a
new class of problems in calculus of variations has been introduced
together with a suitable functional setting: the free-discontinuity
problems and the special BV and BH functions. The conference held
at Villa Olmo on Lake Como in September 1994 spawned successful
discussion of these topics among mathematicians, experts in
computer science and material scientists.
In recent years many researchers in material science have focused
their attention on the study of composite materials, equilibrium of
crystals and crack distribution in continua subject to loads. At
the same time several new issues in computer vision and image
processing have been studied in depth. The understanding of many of
these problems has made significant progress thanks to new methods
developed in calculus of variations, geometric measure theory and
partial differential equations. In particular, new technical tools
have been introduced and successfully applied. For example, in
order to describe the geometrical complexity of unknown patterns, a
new class of problems in calculus of variations has been introduced
together with a suitable functional setting: the free-discontinuity
problems and the special BV and BH functions. The conference held
at Villa Olmo on Lake Como in September 1994 spawned successful
discussion of these topics among mathematicians, experts in
computer science and material scientists.
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