A Pattern Theoretic Study of Biological Shapes

  • U. Grenander
  • Y. Chow
  • D. M. Keenan

Part of the Research Notes in Neural Computing book series (NEURALCOMPUTING, volume 2)

Table of contents

  1. Front Matter
    Pages i-vii
  2. U. Grenander, Y. Chow, D. M. Keenan
    Pages 1-7
  3. U. Grenander, Y. Chow, D. M. Keenan
    Pages 8-38
  4. U. Grenander, Y. Chow, D. M. Keenan
    Pages 39-44
  5. U. Grenander, Y. Chow, D. M. Keenan
    Pages 45-54
  6. U. Grenander, Y. Chow, D. M. Keenan
    Pages 55-63
  7. U. Grenander, Y. Chow, D. M. Keenan
    Pages 65-66
  8. Back Matter
    Pages 67-128

About this book


In this book a global shape model is developed and applied to the analysis of real pictures acquired with a visible light camera under varying conditions of optical degradation. Computational feasibility of the algorithms derived from this model is achieved by analytical means. The aim is to develop methods for image understanding based on structured restoration, for example automatic detection of abnormalities. We also want to find the limits of applicability of the algorithms. This is done by making the optical degradations more and more severe until the algorithms no longer succeed in their task. This computer experiment in pattern theory is one of several. The others, LEAVES, X-RAYS, and RANGE are described elsewhere. This book is suitable for an advanced undergraduate or graduate seminar in pattern theory, or as an accompanying book for applied probability, computer vision, or pattern recognition.


algorithms artificial intelligence cognition computer vision model pattern analysis pattern recognition

Authors and affiliations

  • U. Grenander
    • 1
  • Y. Chow
    • 2
  • D. M. Keenan
    • 3
  1. 1.Division of Applied MathematicsBrown UniversityProvidenceUSA
  2. 2.Institute of MathematicsAcademia SinicaTaipeiTaiwan R.O.C.
  3. 3.Department of MathematicsUniversity of VirginiaCharlottesvilleUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 1991
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-97386-9
  • Online ISBN 978-1-4612-3046-5
  • Series Print ISSN 0939-4818
  • Buy this book on publisher's site
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