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A Pattern Theoretic Study of Biological Shapes

  • Book
  • © 1991

Overview

Authors:
  1. U. Grenander

    1. Division of Applied Mathematics, Brown University, Providence, USA

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  2. Y. Chow

    1. Institute of Mathematics, Academia Sinica, Taipei, Taiwan R.O.C.

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  3. D. M. Keenan

    1. Department of Mathematics, University of Virginia, Charlottesville, USA

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

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-vii
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  2. Dealing with Highly Variable Patterns

    • U. Grenander, Y. Chow, D. M. Keenan
    Pages 1-7

  3. Pattern Synthesis

    • U. Grenander, Y. Chow, D. M. Keenan
    Pages 8-38

  4. Pattern Analysis

    • U. Grenander, Y. Chow, D. M. Keenan
    Pages 39-44

  5. Pattern Synthesis: Experiments

    • U. Grenander, Y. Chow, D. M. Keenan
    Pages 45-54

  6. Pattern Analysis — Experiments

    • U. Grenander, Y. Chow, D. M. Keenan
    Pages 55-63

  7. Model Critique and Conclusions

    • U. Grenander, Y. Chow, D. M. Keenan
    Pages 65-66

  8. Back Matter

    Pages 67-128
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Keywords

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.

Authors and Affiliations

  • Division of Applied Mathematics, Brown University, Providence, USA

    U. Grenander

  • Institute of Mathematics, Academia Sinica, Taipei, Taiwan R.O.C.

    Y. Chow

  • Department of Mathematics, University of Virginia, Charlottesville, USA

    D. M. Keenan

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