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Titlebook: Variational Methods for Discontinuous Structures; Applications to imag Raul Serapioni,Franco Tomarelli Conference proceedings 1996 Birkhäus

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书目名称Variational Methods for Discontinuous Structures
副标题Applications to imag
编辑Raul Serapioni,Franco Tomarelli
视频video
丛书名称Progress in Nonlinear Differential Equations and Their Applications
图书封面Titlebook: Variational Methods for Discontinuous Structures; Applications to imag Raul Serapioni,Franco Tomarelli Conference proceedings 1996 Birkhäus
描述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.
出版日期Conference proceedings 1996
关键词Calculus of Variations; Finite; Manifold; calculus; equation; function; partial differential equation
版次1
doihttps://doi.org/10.1007/978-3-0348-9244-5
isbn_softcover978-3-0348-9959-8
isbn_ebook978-3-0348-9244-5Series ISSN 1421-1750 Series E-ISSN 2374-0280
issn_series 1421-1750
copyrightBirkhäuser Verlag 1996
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Variational Methods for Discontinuous Structures978-3-0348-9244-5Series ISSN 1421-1750 Series E-ISSN 2374-0280
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https://doi.org/10.1007/978-3-0348-9244-5Calculus of Variations; Finite; Manifold; calculus; equation; function; partial differential equation
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A Second Order Model in Image Segmentation: Blake & Zisserman Functional,We state a weak formulation for the Blake & Zissermann model of image segmentation and prove the existence of a minimizer for such a problem.
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On the Regularity of the Edge Set of Mumford-Shah Minimizers,We present a series of results on the regularity of edges in the Mumford-Shah minimization process. An open problem is whether the edge of a minimizer is made of a finite number or arcs. A partial answer to this question is given in this article.
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General Growth Conditions and Regularity,We study the local regularity of minimizers of integral functionals of the calculus of variations of the type.where Ω is an open set of ℝ. (. > 2), . is the . matrix of the gradient of .: Ω → ℝ. and . : ℝ. → ℝ is a given convex function.
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