Variational Methods for Discontinuous Structures

Applications to image segmentation, continuum mechanics, homogenization Villa Olmo, Como, 8–10 September 1994

Raul Serapioni, Franco Tomarelli (Herausgeber)

Buch | Softcover

VIII, 196 Seiten

2011
Springer Basel (Verlag)
978-3-0348-9959-8 (ISBN)

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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.

Movimenti di partizioni.- The crystalline algorithm for computing motion by curvature.- Uses of elliptic approximations in computer vision.- A Kanisza programme.- A second order model in image segmentation: Blake & Zisserman functional.- Optimal approximation by piecewise constant functions.- Indefinite superlinear elliptic problems.- On the regularity of the edge set of Mumford-Shah minimizers.- Capacity and Dirichlet problems in varying domains.- General growth conditions and regularity.- Geodesic lines in metric spaces.- Flow by mean curvature of surfaces of any codimension.- Functions of bounded variation over nonsmooth manifolds and generalized curvatures.- Remarks on a numerical study of convexity, quasi-convexity, and rank-one convexity.- Homogeneous fractal spaces.- Variational techniques for problems in material science.- Magnetoelastic interactions.- Contributors.- List of participants.

Erscheint lt. Verlag	1.10.2011
Reihe/Serie	Progress in Nonlinear Differential Equations and Their Applications
Zusatzinfo	VIII, 196 p.
Verlagsort	Basel
Sprache	englisch
Maße	155 x 235 mm
Gewicht	323 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Calculus • Calculus of Variations • Equation • Finite • Function • manifold • partial differential equation
ISBN-10	3-0348-9959-9 / 3034899599
ISBN-13	978-3-0348-9959-8 / 9783034899598
Zustand	Neuware