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Mathematical Nonlinear Image Processing

A Special Issue of the Journal of Mathematical Imaging and Vision

  • Book
  • © 1993

Overview

Editors:
  1. Edward R. Dougherty

    1. Rochester Institute of Technology, Rochester, USA

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  2. Jaakko Astola

    1. University of Tampere, Tampere, Finland

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-iii
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  2. Introduction

    • Edward R. Dougherty, Jaakko Astola
    Pages 1-1

  3. Statistical Properties, Fixed Points, and Decomposition with WMMR Filters

    • Harold Longbotham, David Eberly
    Pages 3-20

  4. Asymptotic Behavior of Morphological Filters

    • Lasse Koskinen, Jaakko Astola
    Pages 21-39

  5. NonLinear Filtering Structure for Image Smoothing in Mixed-Noise Environments

    • Robert L. Stevenson, Susan M. Schweizer
    Pages 41-58

  6. Root-Signal Sets of Morphological Filters and their Use in Variable-Length BTC Image Coding

    • Qiaofei Wang, Moncef Gabbouj, Yrjö Neuvo
    Pages 59-75

  7. Unification of Nonlinear Filtering in the Context of Binary Logical Calculus, Part I: Binary Filters

    • Edward R. Dougherty, Robert M. Haralick
    Pages 77-87

  8. Unification of Nonlinear Filtering in the Context of Binary Logical Calculus, Part II: Gray-Scale Filters

    • Edward R. Dougherty
    Pages 89-96

  9. Morphological Analysis of Discrete Random Shapes

    • John Goutsias
    Pages 97-119

  10. Inverse Problems for Granulometries by Erosion

    • Juliette Mattioli, Michel Schmitt
    Pages 121-136

  11. Design of a Multitask Neurovision Processor

    • George K. Knopf, Madan M. Gupta
    Pages 137-154

  12. Wilson—Cowan Neural-Network Model in Image Processing

    • Kari Mantere, Jussi Parkkinen, Timo Jaaskelainen, Madan M. Gupta
    Pages 155-163

  13. Clustering Properties of Hierarchical Self-Organizing Maps

    • Jouko Lampinen, Erkki Oja
    Pages 165-176
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Keywords

About this book

Mathematical Nonlinear Image Processing deals with a fast growing research area. The development of the subject springs from two factors: (1) the great expansion of nonlinear methods applied to problems in imaging and vision, and (2) the degree to which nonlinear approaches are both using and fostering new developments in diverse areas of mathematics. Mathematical Nonlinear Image Processing will be of interest to people working in the areas of applied mathematics as well as researchers in computer vision. Mathematical Nonlinear Image Processing is an edited volume of original research. It has also been published as a special issue of the Journal of Mathematical Imaging and Vision. (Volume 2, Issue 2/3).

Editors and Affiliations

  • Rochester Institute of Technology, Rochester, USA

    Edward R. Dougherty

  • University of Tampere, Tampere, Finland

    Jaakko Astola

Bibliographic Information

  • Book Title: Mathematical Nonlinear Image Processing

  • Book Subtitle: A Special Issue of the Journal of Mathematical Imaging and Vision

  • Editors: Edward R. Dougherty, Jaakko Astola

  • DOI: https://doi.org/10.1007/978-1-4615-3148-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1993

  • Hardcover ISBN: 978-0-7923-9314-6Published: 31 December 1992

  • Softcover ISBN: 978-1-4613-6378-1Published: 22 December 2012

  • eBook ISBN: 978-1-4615-3148-7Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: III, 176

  • Topics: Computer Imaging, Vision, Pattern Recognition and Graphics, Mathematical Modeling and Industrial Mathematics

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