Shape in Picture

Mathematical Description of Shape in Grey-level Images

  • Ying-Lie O
  • Alexander Toet
  • David Foster
  • Henk J. A. M. Heijmans
  • Peter Meer
Conference proceedings

Part of the NATO ASI Series book series (volume 126)

Table of contents

  1. Front Matter
    Pages i-x
  2. Introduction

    1. Ying-Lie O, Alexander Toet, David Foster, Henk J. A. M. Heijmans, Peter Meer
      Pages 1-2
  3. Mathematical Background

    1. Topology and Geometry

    2. Categorical Shape Theory

  4. Local Extraction

    1. Mathematical Morphology

      1. Henk J. A. M. Heijmans
        Pages 147-176
      2. Juliette Mattioli, Michel Schmitt
        Pages 177-195
      3. Pijush K. Ghosh
        Pages 225-247
    2. Wavelets

      1. Björn Jawerth, Wim Sweldens
        Pages 249-274
      2. Jeffrey S. Geronimo, Douglas P. Hardin, Peter R. Massopust
        Pages 275-290
      3. Charles H. Anderson, Subrata Rakshit
        Pages 291-300
  5. Theory of Shape

    1. Keynote Address

      1. Scott Thompson, Azriel Rosenfeld
        Pages 301-318
    2. Differential Geometry

    3. Theory of Shape Perception

  6. Symbolic Representation

    1. Shape Primitives

      1. Michael Lindenbaum, Alfred M. Bruckstein
        Pages 415-422
      2. Craig Gotsman, Michael Werman
        Pages 423-432
      3. Theo Moons, Eric J. Pauwels, Luc J. Van Gool, Michael H. Brill, Eamon B. Barrett
        Pages 433-442
      4. John T. Kent, Kanti V. Mardia
        Pages 443-452
      5. Nikolai Metodiev Sirakov
        Pages 453-462
      6. Anthony J. Maeder, Andrew J. Davison, Nigel N. Clark
        Pages 463-472
      7. Stanley M. Dunn, Kyugon Cho
        Pages 483-492
    2. Hierarchical Representation

      1. Annick Montanvert, Peter Meer, Pascal Bertolino
        Pages 511-524
      2. Walter G. Kropatsch, Dieter Willersinn
        Pages 525-537
      3. Cornelia Fermüller, Walter Kropatsch
        Pages 539-548
      4. Peter Nacken, Alexander Toet
        Pages 549-558
  7. Evolutionary Systems

    1. Evolutionary Representation

      1. Tony Lindeberg
        Pages 571-590
      2. Benjamin B. Kimia, Allen R. Tannenbaum, Steven W. Zucker
        Pages 601-620
      3. Murray H. Loew, Sheng-Yuan Hwang
        Pages 621-630
      4. Rein van den Boomgaard, Arnold W. M. Smeulders
        Pages 631-640
      5. Ross T. Whitaker, Stephen M. Pizer
        Pages 641-650
    2. Multiscale Description

      1. Luc M. J. Florack, Bart M. ter Haar Romeny, Jan J. Koenderink, Max A. Viergever
        Pages 651-659
      2. Alfons H. Salden, Bart M. ter Haar Romeny, Max A. Viergever
        Pages 661-670

About these proceedings


The fields of image analysis, computer vision, and artificial intelligence all make use of descriptions of shape in grey-level images. Most existing algorithms for the automatic recognition and classification of particular shapes have been devel­ oped for specific purposes, with the result that these methods are often restricted in their application. The use of advanced and theoretically well-founded math­ ematical methods should lead to the construction of robust shape descriptors having more general application. Shape description can be regarded as a meeting point of vision research, mathematics, computing science, and the application fields of image analy­ sis, computer vision, and artificial intelligence. The NATO Advanced Research Workshop "Shape in Picture" was organised with a twofold objective: first, it should provide all participants with an overview of relevant developments in these different disciplines; second, it should stimulate researchers to exchange original results and ideas across the boundaries of these disciplines. This book comprises a widely drawn selection of papers presented at the workshop, and many contributions have been revised to reflect further progress in the field. The focus of this collection is on mathematical approaches to the construction of shape descriptions from grey-level images. The book is divided into five parts, each devoted to a different discipline. Each part contains papers that have tutorial sections; these are intended to assist the reader in becoming acquainted with the variety of approaches to the problem.


Performance artificial intelligence computer vision evolution image analysis intelligence mathematical morphology topology

Editors and affiliations

  • Ying-Lie O
    • 1
  • Alexander Toet
    • 2
  • David Foster
    • 3
  • Henk J. A. M. Heijmans
    • 1
  • Peter Meer
    • 4
  1. 1.Centre for Mathematics and Computer Science (CWI)AmsterdamThe Netherlands
  2. 2.Institute for Human Factors (TNO-IZF)Netherlands Organization for Applied Scientific ResearchSoesterbergThe Netherlands
  3. 3.Department of Communication and NeuroscienceUniversity of KeeleKeele, StaffordshireUK
  4. 4.Department of Electrical and Computer EngineeringRutgers UniversityPiscatawayUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08188-0
  • Online ISBN 978-3-662-03039-4
  • Buy this book on publisher's site