Innovations for Shape Analysis

Models and Algorithms

  • Michael Breuß
  • Alfred Bruckstein
  • Petros Maragos

Part of the Mathematics and Visualization book series (MATHVISUAL)

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Discrete Shape Analysis

    1. Front Matter
      Pages 1-1
    2. Lidija Čomić, Leila De Floriani, Federico Iuricich
      Pages 3-34
    3. Stephen M. Pizer, Sungkyu Jung, Dibyendusekhar Goswami, Jared Vicory, Xiaojie Zhao, Ritwik Chaudhuri et al.
      Pages 93-115
    4. Gabriella Sanniti di Baja, Luca Serino, Carlo Arcelli
      Pages 117-136
    5. Joviša Žunić, Paul L. Rosin
      Pages 137-157
  3. Partial Differential Equations for Shape Analysis

    1. Front Matter
      Pages 159-159
    2. Roee Litman, Alexander M. Bronstein, Michael M. Bronstein
      Pages 161-189
    3. Elisabetta Carlini, Maurizio Falcone, Adriano Festa
      Pages 191-218
    4. Serena Morigi, Marco Rucci
      Pages 245-262
    5. Guy Rosman, Michael M. Bronstein, Alexander M. Bronstein, Alon Wolf, Ron Kimmel
      Pages 263-281
  4. Optimization Methods for Shape Analysis

    1. Front Matter
      Pages 325-325
    2. Anastasia Dubrovina, Dan Raviv, Ron Kimmel
      Pages 327-342
    3. Martin R. Oswald, Eno Töppe, Claudia Nieuwenhuis, Daniel Cremers
      Pages 343-378
    4. Shachar Shem-Tov, Guy Rosman, Gilad Adiv, Ron Kimmel, Alfred M. Bruckstein
      Pages 379-405
    5. Shay Dekel, Nir Sochen, Shai Avidan
      Pages 407-420
  5. Back Matter
    Pages 493-496

About this book


The concept of 'shape' is at the heart of image processing and computer vision, yet researchers still have some way to go to replicate the human brain's ability to extrapolate meaning from the most basic of outlines. This volume reflects the advances of the last decade, which have also opened up tough new challenges in image processing. Today's applications require flexible models as well as efficient, mathematically justified algorithms that allow data processing within an acceptable timeframe.

Examining important topics in continuous-scale and discrete modeling, as well as in modern algorithms, the book is the product of a key seminar focused on innovations in the field. It is a thorough introduction to the latest technology, especially given the tutorial style of a number of chapters. It also succeeds in identifying promising avenues for future research. The topics covered include mathematical morphology, skeletonization, statistical shape modeling, continuous-scale shape models such as partial differential equations and the theory of discrete shape descriptors. Some authors highlight new areas of enquiry such as partite skeletons, multi-component shapes, deformable shape models, and the use of distance fields.

Combining the latest theoretical analysis with cutting-edge applications, this book will attract both academics and engineers.


numerical methods shape analysis shape analysis applications shape models

Editors and affiliations

  • Michael Breuß
    • 1
  • Alfred Bruckstein
    • 2
  • Petros Maragos
    • 3
  1. 1., Inst. for Appl. Math.&Scient.Comp.Brandenburg Technical UniversityCottbusGermany
  2. 2.Department of Computer ScienceTechnion-Israel Institute of TechnologyHaifaIsrael
  3. 3.School of Electrical &, Computer EngineeringNational Technical University of AthensAthensGreece

Bibliographic information