Shape Reconstruction from Apparent Contours

Theory and Algorithms

  • Giovanni Bellettini
  • Valentina Beorchia
  • Maurizio Paolini
  • Franco Pasquarelli

Part of the Computational Imaging and Vision book series (CIVI, volume 44)

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli
    Pages 1-24
  3. Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli
    Pages 25-52
  4. Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli
    Pages 53-72
  5. Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli
    Pages 73-100
  6. Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli
    Pages 101-129
  7. Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli
    Pages 131-156
  8. Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli
    Pages 157-194
  9. Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli
    Pages 195-207
  10. Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli
    Pages 209-223
  11. Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli
    Pages 225-321
  12. Giovanni Bellettini, Valentina Beorchia, Maurizio Paolini, Franco Pasquarelli
    Pages 323-353
  13. Back Matter
    Pages 355-365

About this book

Introduction

Motivated by a variational model concerning the depth of the objects in a picture and the problem of hidden and illusory contours, this book investigates one of the central problems of computer vision: the  topological and algorithmic reconstruction of a smooth three dimensional scene starting from the visible part of an apparent contour.

The authors focus their attention on the manipulation of apparent contours using a finite set of elementary moves, which correspond to diffeomorphic deformations of three dimensional scenes.

A large part of the book is devoted to the  algorithmic part, with implementations, experiments, and computed examples. The book is intended also as a user's guide to the software code appcontour, written for the manipulation of apparent contours and their invariants. This book is addressed to theoretical and applied scientists working in the field of mathematical models of image segmentation.

Keywords

MSC 2010: 65D18; 49Q20; 57R40; 57M27; 57R45 apparent contours computational geometry image segment shape reconstruction variational models with curvature in image segmentation

Authors and affiliations

  • Giovanni Bellettini
    • 1
  • Valentina Beorchia
    • 2
  • Maurizio Paolini
    • 3
  • Franco Pasquarelli
    • 4
  1. 1.Department of MathematicsUniversity of Rome Tor VergataRomeItaly
  2. 2.University of Trieste Department of Mathematics & GeosciencesTriesteItaly
  3. 3.Catholic University Department of Mathematics & PhysicsBresciaItaly
  4. 4.Catholic University Department of Mathematics & PhysicsBresciaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-45191-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Computer Science
  • Print ISBN 978-3-662-45190-8
  • Online ISBN 978-3-662-45191-5
  • Series Print ISSN 1381-6446
  • About this book