Skip to main content
SpringerLink
Log in
Birkhäuser

Variational Methods for Discontinuous Structures

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

  • Conference proceedings
  • © 1996

Overview

Editors:
  1. Raul Serapioni

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Franco Tomarelli

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 25)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (17 papers)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Movimenti di Partizioni

    • Ennio De Giorgi
    Pages 1-5

  3. The Crystalline Algorithm for Computing Motion by Curvature

    • Pedro Martins Girão, Robert V. Kohn
    Pages 7-18

  4. Uses of Elliptic Approximations in Computer Vision

    • Jayant Shah
    Pages 19-34

  5. A Kanizsa Programme

    • Vicent Caselles, Bartomeu Coll, Jean-Michel Morel
    Pages 35-55

  6. A Second Order Model in Image Segmentation: Blake & Zisserman Functional

    • Michele Carriero, Antonio Leaci, Franco Tomarelli
    Pages 57-72

  7. Optimal Approximation by Piecewise Constant Functions

    • Italo Tamanini
    Pages 73-85

  8. Indefinite Superlinear Elliptic Problems

    • Italo Capuzzo Dolcetta
    Pages 87-92

  9. On the Regularity of the Edge Set of Mumford-Shah Minimizers

    • Alexis Bonnet
    Pages 93-103

  10. Capacity and Dirichlet Problems in varying Domains

    • Gianni Dal Maso
    Pages 105-110

  11. General Growth Conditions and Regularity

    • Paolo Marcellini
    Pages 111-118

  12. Geodesic Lines in Metric Spaces

    • Mario Miranda
    Pages 119-122

  13. Flow by Mean Curvature of Surfaces of Any Codimension

    • Luigi Ambrosio, Halil Mete Soner
    Pages 123-134

  14. Functions of Bounded Variation over Non-Smooth Manifolds and Generalized Curvatures

    • Gabriele Anzellotti
    Pages 135-142

  15. Remarks on a Numerical Study of Convexity, Quasiconvexity, and Rank One Convexity

    • Bernard Dacorogna, Jean-Pierre Haeberly
    Pages 143-154

  16. Homogeneous Fractal Spaces

    • Umberto Mosco, Lino Notarantonio
    Pages 155-160

  17. Variational Techniques for Problems in Materials Science

    • Irene Fonseca
    Pages 161-175

  18. Magnetoelastic Interactions

    • David Kinderlehrer
    Pages 177-189

  19. Back Matter

    Pages 191-196
    Download chapter PDF
Back to top

Keywords

About this book

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.

Editors and Affiliations

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Raul Serapioni, Franco Tomarelli

Bibliographic Information

  • Book Title: Variational Methods for Discontinuous Structures

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

  • Editors: Raul Serapioni, Franco Tomarelli

  • Series Title: Progress in Nonlinear Differential Equations and Their Applications

  • DOI: https://doi.org/10.1007/978-3-0348-9244-5

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag 1996

  • Hardcover ISBN: 978-3-7643-5273-8Published: 28 August 1996

  • Softcover ISBN: 978-3-0348-9959-8Published: 01 October 2011

  • eBook ISBN: 978-3-0348-9244-5Published: 06 December 2012

  • Series ISSN: 1421-1750

  • Series E-ISSN: 2374-0280

  • Edition Number: 1

  • Number of Pages: VIII, 196

  • Topics: Calculus of Variations and Optimal Control; Optimization, Analysis

Publish with us

Policies and ethics

Back to top

Search

Navigation