Nonlinear Filters for Image Processing

by Edward R. Dougherty, Jaakko Astola

Overview

"This text covers key mathematical principles and algorithms for nonlinear filters used in image processing. Readers will gain an in-depth understanding of the underlying mathematical and filter design methodologies needed to construct and use nonlinear filters in a variety of applications.

The 11 chapters explore topics of contemporary interest as well as fundamentals drawn from nonlinear filtering's historical roots in mathematical morphology and digital signal processing. This book examines various filter options and the types of applications for which they are best suited. The presentation is rigorous, yet accessible to engineers with a solid background in mathematics."

Product Details

ISBN-13:	9780780353855
Publisher:	Wiley
Publication date:	06/25/1999
Series:	SPIE/IEEE Series on Imaging Science & Engineering , #1
Pages:	470
Product dimensions:	7.22(w) x 10.30(h) x 1.23(d)

About the Author

EDWARD R. DOUGHERTY, PhD, is Director of the Genomic Signal Processing Laboratory at Texas A&M University, where he holds the Robert M. Kennedy '26 Chair and is Professor in the Department of Electrical and Computer Engineering. He is also co-Director of the Computational Biology Division at the Translational Genomics Research Institute as well as Adjunct Professor in the Department of Bioinformatics and Computational Biology, M. D. Anderson Cancer Center at the University of Texas. Dr. Dougherty has published more than 300 peer-reviewed journal articles and book chapters.

MICHAEL L. BITTNER, PhD, is co-Director and Senior Investigator at the Computational Biology Division at the Translational Genomics Research Institute. Previously, he was associate investigator in the Cancer Genetics Branch of the National Human Genome Research Institute at the National Institutes of Health. Dr. Bittner holds a dozen patents and has published more than 100 articles.

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Table of Contents

Preface.

Logical Image Operators (E. Dougherty & J. Barrera).

Computational Gray-Scale Operators (E. Dougherty & J. Barrera).

Translation-Invariant Set Operators (E. Dougherty).

Granulometric Filters (E. Dougherty & Y. Chen)

Easy Recipes for Morphological Filters (H. Heijmans).

Introduction to Connected Operators (H. Heijmans).

Representation and Optimization of Stack Filters (J. Astola & P. Kuosmanen).

Invariant Signals of Median and Stack Filters (J. Astola & P. Kuosmanen).

Binary Polynomial Transforms and Logical Correlation (K. Egiazarian, et al.).

Applications of Binary Polynomial Transforms (K. Egiazarian, et al.).

Random Sets in View of Image Filtering Applications (I. Molchanov).

Index.

Editorial Reviews

Written for mathematicians and engineers with a good mathematical background, 11 chapters cover key principles and algorithms for nonlinear filters. Topics of contemporary interest are discussed as well as fundamentals drawn from nonlinear filtering's historical roots in mathematical morphology and digital signaling processing. Topics include invariant signals of median and stack filters, applications of binary polynomial transforms, and connected operators. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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