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Shape in Picture

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Cover of 'Shape in Picture'

Table of Contents

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    Book Overview
  2. Altmetric Badge
    Chapter 1 Introduction
  3. Altmetric Badge
    Chapter 2 The Khalimsky Line as a Foundation for Digital Topology
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    Chapter 3 Topological Foundations of Shape Analysis
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    Chapter 4 A New Concept for Digital Geometry
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    Chapter 5 Theoretical Approaches to N -Dimensional Digital Objects
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    Chapter 6 On Boundaries and Boundary Crack-Codes of Multidimensional Digital Images
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    Chapter 7 Studying Shape Through Size Functions
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    Chapter 8 Introduction to Categorical Shape Theory, with Applications in Mathematical Morphology
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    Chapter 9 Shape Theory: An ANR-Sequence Approach
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    Chapter 10 Can Categorical Shape Theory Handle Grey-level Images?
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    Chapter 11 Mathematical Morphology as a Tool for Shape Description
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    Chapter 12 On Information Contained in the Erosion Curve
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    Chapter 13 Morphological Area Openings and Closings for Grey-scale Images
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    Chapter 14 Manifold Shape: from Differential Geometry to Mathematical Morphology
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    Chapter 15 On Negative Shape
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    Chapter 16 An Overview of the Theory and Applications of Wavelets
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    Chapter 17 Fractal Surfaces, Multiresolution Analyses and Wavelet Transforms
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    Chapter 18 Interpolation in Multiscale Representations
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    Chapter 19 Discrete Stochastic Growth Models for Two-Dimensional Shapes
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    Chapter 20 Classical and Fuzzy Differential Methods in Shape Analysis
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    Chapter 21 Elements of a Fuzzy Geometry for Visual Space
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    Chapter 22 On the Relationship Between Surface Covariance and Differential Geometry
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    Chapter 23 Image Representation Using Affine Covariant Coordinates
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    Chapter 24 Equivariant Dynamical Systems: a Formal Model for the Generation of Arbitrary Shapes
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    Chapter 25 Neural Processing of Overlapping Shapes
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    Chapter 26 Contour Texture and Frame Curves for the Recognition of Non-Rigid Objects
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    Chapter 27 Conic Primitives for Projectively Invariant Representation of Planar Curves
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    Chapter 28 Blind Approximation of Planar Convex Shapes
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    Chapter 29 Recognition of Affine Planar Curves Using Geometric Properties
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    Chapter 30 Recognizing 3-D Curves from a Stereo Pair of Images: a Semi-differential Approach
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    Chapter 31 Statistical Shape Methodology in Image Analysis
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    Chapter 32 Recognition of Shapes from a Finite Series of Plane Figures
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    Chapter 33 Polygonal Harmonic Shape Characterization
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    Chapter 34 Shape Description and Classification Using the Interrelationship of Structures at Multiple Scales
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    Chapter 35 Learning Shape Classes
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    Chapter 36 Inference of Stochastic Graph Models for 2-D and 3-D Shapes
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    Chapter 37 Hierarchical Shape Analysis in Grey-level Images
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    Chapter 38 Irregular Curve Pyramids
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    Chapter 39 Multiresolution Shape Description by Corners
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    Chapter 40 Model-based Bottom-Up Grouping of Geometric Image Primitives
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    Chapter 41 Hierarchical Shape Representation for Image Analysis
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    Chapter 42 Scale-Space for N -Dimensional Discrete Signals
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    Chapter 43 Scale-Space Behaviour and Invariance Properties of Differential Singularities
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    Chapter 44 Exploring the Shape Manifold: the Role of Conservation Laws
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    Chapter 45 Performance in Noise of a Diffusion-based Shape Descriptor
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    Chapter 46 Towards a Morphological Scale-Space Theory
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    Chapter 47 Geometry-based Image Segmentation Using Anisotropic Diffusion
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    Chapter 48 Images: Regular Tempered Distributions
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    Chapter 49 Local and Multilocal Scale-Space Description
Attention for Chapter 2: The Khalimsky Line as a Foundation for Digital Topology
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Chapter title
The Khalimsky Line as a Foundation for Digital Topology
Chapter number 2
Book title
Shape in Picture
Published by
Springer, Berlin, Heidelberg, January 1994
DOI 10.1007/978-3-662-03039-4_2
Book ISBNs
978-3-64-208188-0, 978-3-66-203039-4
Authors

Ralph Kopperman

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Morocco 1 33%
Unknown 2 67%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 33%
Researcher 1 33%
Unknown 1 33%
Readers by discipline Count As %
Mathematics 1 33%
Computer Science 1 33%
Unknown 1 33%