Overview

This book covers Gaussian scale-space theory from its applications to its mathematical foundation. The reader not so familiar with scale-space will find it instructive to first consider some potential applications described in Part I. The next two parts both address fundamental aspects of scale-space. Whereas scale is treated as an essentially arbitrary constant in Part II, Part III emphasises 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. Audience: This volume is addressed to researchers in the field of image analysis seeking mathematical foundation of algorithms.

Full Product Details

Author:   Jon Sporring ,  Mads Nielsen ,  Luc Florack ,  Peter Johansen
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1997
Volume:   8
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9789048148523

ISBN 10:   9048148529
Pages:   266
Publication Date:   04 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

1 Applications of Scale-Space Theory.- 2 Enhancement of Fingerprint Images using Shape-Adapted Scale-Space Operators.- 3 Optic Flow and Stereo.- 4 On the History of Gaussian Scale-Space Axiomatics.- 5 Scale-Space and Measurement Duality.- 6 On the Axiomatic Foundations of Linear Scale-Space.- 7 Scale-Space Generators and Functionals.- 8 Invariance Theory.- 9 Stochastic Analysis of Image Acquisition and Scale-Space Smoothing.- 10 Local Analysis of Image Scale Space.- 11 Local Morse Theory for Gaussian Blurred Functions.- 12 Critical Point Events in Affine Scale-Space.- 13 Topological Numbers and Singularities Stiliyan Kalitzin.- 14 Multi-Scale Watershed Segmentation.- 15 The Morphological Equivalent of Gaussian Scale-Space.- 16 Nonlinear Diffusion Scale-Spaces.

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