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Gaussian Scale-Space Theory : Trends in Logic - Jon Sporring

Gaussian Scale-Space Theory

Trends in Logic

By: Jon Sporring (Editor), Mads Nielsen (Editor), Luc Florack (Editor), Peter Johansen (Editor)

Hardcover Published: 31st May 1997
ISBN: 9780792345619
Number Of Pages: 266

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Gaussian scale-space is one of the best understood multi-resolution techniques available to the computer vision and image analysis community. It is the purpose of this book to guide the reader through some of its main aspects. During an intensive weekend in May 1996 a workshop on Gaussian scale-space theory was held in Copenhagen, which was attended by many of the leading experts in the field. The bulk of this book originates from this workshop. Presently there exist only two books on the subject. In contrast to Lindeberg's monograph (Lindeberg, 1994e) this book collects contributions from several scaleĀ­ space researchers, whereas it complements the book edited by ter Haar Romeny (Haar Romeny, 1994) on non-linear techniques by focusing on linear diffusion. This book is divided into four parts. The reader not so familiar with scale-space will find it instructive to first consider some potential applications described in Part 1. Parts II and III both address fundamental aspects of scale-space. Whereas scale is treated as an essentially arbitrary constant in the former, the latter emĀ­ phasizes the deep structure, i.e. the structure that is revealed by varying scale. Finally, Part IV is devoted to non-linear extensions, notably non-linear diffusion techniques and morphological scale-spaces, and their relation to the linear case. The Danish National Science Research Council is gratefully acknowledged for providing financial support for the workshop under grant no. 9502164.

Preface
Contributors
Scale in Perspective
Applicationsp. 1
Applications of Scale-Space Theoryp. 3
Enhancement of Fingerprint Images using Shape-Adapted Scale-Space Operatorsp. 21
Optic Flow and Stereop. 31
The Foundationp. 43
On the History of Gaussian Scale-Space Axiomaticsp. 45
Scale-Space and Measurement Dualityp. 61
On the Axiomatic Foundations of Linear Scale-Spacep. 75
Scale-Space Generators and Functionalsp. 99
Invariance Theoryp. 115
Stochastic Analysis of Image Acquisition and Scale-Space Smoothingp. 129
The Structurep. 137
Local Analysis of Image Scale Spacep. 139
Local Morse Theory for Gaussian Blurred Functionsp. 147
Critical Point Events in Affine Scale-Spacep. 165
Topological Numbers and Singularitiesp. 181
Multi-Scale Watershed Segmentationp. 191
Non-linear Extensionsp. 201
The Morphological Equivalent of Gaussian Scale-Spacep. 203
Nonlinear Diffusion Scale-Spacesp. 221
Bibliographyp. 235
Indexp. 258
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792345619
ISBN-10: 0792345614
Series: Trends in Logic
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 266
Published: 31st May 1997
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 1.75
Weight (kg): 0.58