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   -> Volume 3, Issue 7


Book: Shape in Picture
 
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toet@sunwise.tm.tno.nl (Alexander Toet)
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PostPosted: Mon Dec 02, 2002 1:01 pm    
Subject: Book: Shape in Picture
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Book: Shape in Picture

BOOK ANNOUNCEMENT:

Shape in Picture - Mathematical Description of Shape in Grey-level Images

Eds: Ying-Lie O, Alexander Toet, David H. Foster, Henk J.A.M. Heijmans,
Peter Meer

Publisher: NATO ASI Series F, Vol. 126, Springer Verlag, Berlin.
ISBN 3-540-57578-2 Berlin - ISBN 0-387-57578-2 New York

This book contains a selection of papers on different mathematical
approaches to the construction of shape descriptions from grey-level
images. Tutorial sections are included to assist the reader in becoming
acquainted with the variety of approaches to the problem.

TABLE OF CONTENTS

PART 1 MATHEMATICAL BACKGROUND

TOPOLOGY AND GEOMETRY

The Khalimsky Line as a Foundation for Digital Topology, p.3
Ralph Kopperman
Topological Foundations of Shape Analysis, p.21
Vladimir A. Kovalevsky
A New Concept for Digital Geometry, p.37
Vladimir A. Kovalevsky
Theoretical Approaches to N-Dimensional Digital Objects, p.53
Klaus Voss
On Boundaries and Boundary Crack-Codes of Multidimensional Digital Images, p.71
T. Yung Kong
Studying Shape Through Size Functions, p.81
Claudio Uras and Alessandro Verri

CATEGORICAL SHAPE THEORY

Introduction to Categorical Shape Theory,
with Applications in Mathematical Morphology, p.91
Mirek Husek
Shape Theory: an ANR-Sequence Approach, p.111
Jack Segal
Can Categorical Shape Theory Handle Grey-level Images? p.127
Timothy Porter

PART 2 LOCAL EXTRACTION

MATHEMATICAL MORPHOLOGY

Mathematical Morphology as a Tool for Shape Description, p.147
Henk J.A.M. Heijmans
On Information Contained in the Erosion Curve, p.177
Juliette Mattioli and Michel Schmitt
Morphological Area Openings and Closings for Grey-scale Images, p.197
Luc Vincent
Manifold Shape: from Differential Geometry to Mathematical Morphology, p.209
Jos B.T.M. Roerdink
On Negative Shape, p.225
Pijush K. Ghosh

WAVELETS

An Overview of the Theory and Applications of Wavelets, p.249
Bjorn Jawerth and Wim Sweldens
Fractal Surfaces, Multiresolution Analyses, and Wavelet Transforms, p.275
Jeffrey S. Geronimo, Douglas P. Hardin, and Peter R. Massopust
Interpolation in Multiscale Representations, p.291
Charles H. Anderson and Subrata Rakshit

PART 3 THEORY OF SHAPE

KEYNOTE

Discrete Stochastic Growth Models for Two-Dimensional Shapes, p.301
Scott Thompson and Azriel Rosenfeld

DIFFERENTIAL GEOMETRY

Classical and Fuzzy Differential Methods in Shape Analysis, p.319
David H. Foster
Elements of a Fuzzy Geometry for Visual Space, p.333
Mario Ferraro and David H. Foster
On the Relationship Between Surface Covariance and Differential Geometry, p.343
Jens Berkmann and Terry Caelli
Image Representation Using Affine Covariant Coordinates, p.353
Jun Zhang

THEORY OF SHAPE PERCEPTION

Equivariant Dynamical Systems:
a Formal Model for the Generation of Arbitrary Shapes, p.363
William C. Hoffman
Neural Processing of Overlapping Shapes, p.383
Andre J. Noest
Contour Texture and Frame Curves for the Recognition of Non-Rigid Objects, p.393
J. Brian Subirana-Vilanova

PART 4 SYMBOLIC REPRESENTATION

SHAPE PRIMITIVES

Conic Primitives for Projectively Invariant
Representation of Planar Curves, p.403
Stefan Carlsson
Blind Approximation of Planar Convex Shapes, p.415
Michael Lindenbaum and Alfred M. Bruckstein
Recognition of Affine Planar Curves Using Geometric Properties, p.423
Craig Gotsman and Michael Werman
Recognizing 3-D Curves from a Stereo Pair of Images:
a Semi-differential Approach, p.433
Theo Moons, Eric J. Pauwels, Luc J. Van Gool, Michael H. Brill,
and Eamon B. Barrett
Statistical Shape Methodology in Image Analysis, p.443
John T. Kent and Kanti V. Mardia
Recognition of Shapes from a Finite Series of Plane Figures, p.453
Nikolai M. Sirakov
Polygonal Harmonic Shape Characterization, p.463
Anthony J. Maeder, Andrew J. Davison, and Nigel N. Clark
Shape Description and Classification Using the Interrelationship of
Structures at Multiple Scales, p.473
Gregory Dudek
Learning Shape Classes, p.483
Stanley M. Dunn and Kyugon Cho

HIERARCHICAL REPRESENTATION

Inference of Stochastic Graph Models for 2-D and 3-D Shapes, p.493
Jakub Segen
Hierarchical Shape Analysis in Grey-level Images, p.511
Annick Montanvert, Peter Meer, and Pascal Bertolino
Irregular Curve Pyramids, p.525
Walter G. Kropatsch and Dieter Willersinn
Multiresolution Shape Description by Corners, p.539
Cornelia Fermueller and Walter G. Kropatsch
Model-based Bottom-Up Grouping of Geometric Image Primitives, p.549
Peter Nacken and Alexander Toet
Hierarchical Shape Representation for Image Analysis, p.559
O Ying-Lie

PART 5 EVOLUTIONARY SYSTEMS

EVOLUTIONARY REPRESENTATION

Scale-Space for N-dimensional Discrete Signals, p.571
Tony Lindeberg
Scale-Space Behaviour and Invariance Properties of Differential
Singularities, p.591
Tony Lindeberg
Exploring the Shape Manifold: the Role of Conservation Laws, p.601
Benjamin B. Kimia, Allen R. Tannenbaum, and Steven W. Zucker
Performance in Noise of a Diffusion-based Shape Descriptor, p.621
Murray H. Loew and Sheng-Yuan Hwang
Towards a Morphological Scale-Space Theory, p.631
Rein van den Boomgaard and Arnold W.M. Smeulders
Geometry-based Image Segmentation Using Anisotropic Diffusion, p.641
Ross T. Whitaker and Stephen M. Pizer

MULTISCALE DESCRIPTION

Images: Regular Tempered Distributions, p.651
Luc M. J. Florack, Bart M. ter Haar Romeny, Jan J. Koenderink,
and Max A. Viergever
Local and Multilocal Scale-Space Description, p.661
Alfons H. Salden, Bart M. ter Haar Romeny, and Max A. Viergever
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