Ebook: Mathematical Morphology and its Applications to Image and Signal Processing

Mathematical morphology is a powerful methodology for the processing and analysis of geometric structure in signals and images. This book contains the proceedings of the fifth International Symposium on Mathematical Morphology and its Applications to Image and SignalProcessing, held June 26-28, 2000, at Xerox PARC, Palo Alto, California. It provides a broad sampling of the most recent theoretical and practical developments of mathematical morphology and its applications to image and signal processing. Areas covered include: decomposition of structuring functions and morphological operators, morphological discretization, filtering, connectivity and connected operators, morphological shape analysis and interpolation, texture analysis, morphological segmentation, morphological multiresolution techniques and scale-spaces, and morphological algorithms and applications.
Audience: The subject matter of this volume will be of interest to electrical engineers, computer scientists, and mathematicians whose research work is focused on the theoretical and practical aspects of nonlinear signal and image processing. It will also be of interest to those working in computer vision, applied mathematics, and computer graphics.

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Mathematical morphology is a powerful methodology for the processing and analysis of geometric structure in signals and images. This book contains the proceedings of the fifth International Symposium on Mathematical Morphology and its Applications to Image and SignalProcessing, held June 26-28, 2000, at Xerox PARC, Palo Alto, California. It provides a broad sampling of the most recent theoretical and practical developments of mathematical morphology and its applications to image and signal processing. Areas covered include: decomposition of structuring functions and morphological operators, morphological discretization, filtering, connectivity and connected operators, morphological shape analysis and interpolation, texture analysis, morphological segmentation, morphological multiresolution techniques and scale-spaces, and morphological algorithms and applications.
Audience: The subject matter of this volume will be of interest to electrical engineers, computer scientists, and mathematicians whose research work is focused on the theoretical and practical aspects of nonlinear signal and image processing. It will also be of interest to those working in computer vision, applied mathematics, and computer graphics.

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Mathematical morphology is a powerful methodology for the processing and analysis of geometric structure in signals and images. This book contains the proceedings of the fifth International Symposium on Mathematical Morphology and its Applications to Image and SignalProcessing, held June 26-28, 2000, at Xerox PARC, Palo Alto, California. It provides a broad sampling of the most recent theoretical and practical developments of mathematical morphology and its applications to image and signal processing. Areas covered include: decomposition of structuring functions and morphological operators, morphological discretization, filtering, connectivity and connected operators, morphological shape analysis and interpolation, texture analysis, morphological segmentation, morphological multiresolution techniques and scale-spaces, and morphological algorithms and applications.
Audience: The subject matter of this volume will be of interest to electrical engineers, computer scientists, and mathematicians whose research work is focused on the theoretical and practical aspects of nonlinear signal and image processing. It will also be of interest to those working in computer vision, applied mathematics, and computer graphics.
Content:
Front Matter....Pages i-ix
Introduction....Pages 1-2
A Morphological View on Traditional Signal Processing....Pages 3-12
From the Sup-Decomposition to A Sequential Decomposition....Pages 13-22
Decomposition of Separable Concave Structuring Functions....Pages 23-31
Minkowski Sum Volume Minimization for Convex Polyhedra....Pages 33-40
Topological Properties of Hausdorff Discretizations....Pages 41-50
Vectorial Levelings and Flattenings....Pages 51-60
A Lattice Control Model of Fuzzy Dynamical Systems in State-Space....Pages 61-70
A Morphological Interpolation Approach — Geodesic Set Definition in Case of Empty Intersection....Pages 71-80
The Morphological-Affine Object Deformation....Pages 81-90
Affine Invariant Mathematical Morphology Applied to A Generic Shape Recognition Algorithm....Pages 91-98
Folding Induced Self-Dual Filters....Pages 99-108
Flexible Linear Openings and Closings....Pages 109-118
Some Applications of Aperture Filters....Pages 119-128
GA Optimisation of Multidimensional Grey-Scale Soft Morphological Filters with Applications in Archive Film Restoration....Pages 129-138
New Insight on Digital Topology....Pages 139-148
Approximate Connectivity and Mathematical Morphology....Pages 149-158
Multiresolution Connectivity: An Axiomatic Approach....Pages 159-168
Connected Operators Based on Region-Tree Pruning....Pages 169-178
Image Segmentation Based on the Derivative of the Morphological Profile....Pages 179-188
Flooding and Segmentation....Pages 189-198
A Morphological Multi-Scale Gradient for Color Image Segmentation....Pages 199-206
Automatic Watershed Segmentation of Color Images....Pages 207-214
Motion Segmentation Using Seeded Region Growing....Pages 215-222
A Segmentation Pyramid for the Interactive Segmentation of 3-D Images and Video Sequences....Pages 223-232
Partition Lattice Operators for Extraction of Semantic Video Objects....Pages 233-242
Morphological Granulometric Deconstruction....Pages 243-252
Surface Texture Classification from Morphological Transformations....Pages 253-262
Content Dependent Image Sampling Using Mathematical Morphology: Application to Mipmapping....Pages 263-272
Morphological Pyramids and Wavelets Based on the Quincunx Lattice....Pages 273-281
Morphological Scale-Space Operators: An Algebraic Framework....Pages 282-290
An Idempotent Scale-Space Approach for Morphological Segmentation....Pages 291-300
Efficient Dilation, Erosion, Opening and Closing Algorithms....Pages 301-310
Fast Morphological Attribute Operations Using Tarjan’s Union-Find Algorithm....Pages 311-320
A Change Detector Based on Level Sets....Pages 321-330
A General Algorithm for Computing Distance Transforms in Linear Time....Pages 331-340
The Ordered Queue and the Optimality of the Watershed Approaches....Pages 341-350
Discrete 3D Wave Propagation for Computing Morphological Operations from Surface Patches and Unorganized Points....Pages 351-360
Two-Stage Lossy/Lossless Compression of Grayscale Document Images....Pages 361-370
Boosting OCR Classifier by Optimal Edge Noise Filtering....Pages 371-380
Morphological Bank Check Logo Segmentation With Few A Prior Knowledge....Pages 381-388
Morphological Pseudo Convex Hull to Correct Handwriting Baseline skew....Pages 389-396
Morphological Segmentation of Text and Figures in Renaissance Books (XVI Century)....Pages 397-404
Application of Mathematical Morphology and Markov Random Field Theory to the Automatic Extraction of Linear Features in Airborne Images....Pages 405-414
Testing Some Morphological Approaches to Face Localization....Pages 415-424
Quantitative Description of Telecommunication Networks by Simulation....Pages 425-432
Back Matter....Pages 433-445

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Mathematical morphology is a powerful methodology for the processing and analysis of geometric structure in signals and images. This book contains the proceedings of the fifth International Symposium on Mathematical Morphology and its Applications to Image and SignalProcessing, held June 26-28, 2000, at Xerox PARC, Palo Alto, California. It provides a broad sampling of the most recent theoretical and practical developments of mathematical morphology and its applications to image and signal processing. Areas covered include: decomposition of structuring functions and morphological operators, morphological discretization, filtering, connectivity and connected operators, morphological shape analysis and interpolation, texture analysis, morphological segmentation, morphological multiresolution techniques and scale-spaces, and morphological algorithms and applications.
Audience: The subject matter of this volume will be of interest to electrical engineers, computer scientists, and mathematicians whose research work is focused on the theoretical and practical aspects of nonlinear signal and image processing. It will also be of interest to those working in computer vision, applied mathematics, and computer graphics.
Content:
Front Matter....Pages i-ix
Introduction....Pages 1-2
A Morphological View on Traditional Signal Processing....Pages 3-12
From the Sup-Decomposition to A Sequential Decomposition....Pages 13-22
Decomposition of Separable Concave Structuring Functions....Pages 23-31
Minkowski Sum Volume Minimization for Convex Polyhedra....Pages 33-40
Topological Properties of Hausdorff Discretizations....Pages 41-50
Vectorial Levelings and Flattenings....Pages 51-60
A Lattice Control Model of Fuzzy Dynamical Systems in State-Space....Pages 61-70
A Morphological Interpolation Approach — Geodesic Set Definition in Case of Empty Intersection....Pages 71-80
The Morphological-Affine Object Deformation....Pages 81-90
Affine Invariant Mathematical Morphology Applied to A Generic Shape Recognition Algorithm....Pages 91-98
Folding Induced Self-Dual Filters....Pages 99-108
Flexible Linear Openings and Closings....Pages 109-118
Some Applications of Aperture Filters....Pages 119-128
GA Optimisation of Multidimensional Grey-Scale Soft Morphological Filters with Applications in Archive Film Restoration....Pages 129-138
New Insight on Digital Topology....Pages 139-148
Approximate Connectivity and Mathematical Morphology....Pages 149-158
Multiresolution Connectivity: An Axiomatic Approach....Pages 159-168
Connected Operators Based on Region-Tree Pruning....Pages 169-178
Image Segmentation Based on the Derivative of the Morphological Profile....Pages 179-188
Flooding and Segmentation....Pages 189-198
A Morphological Multi-Scale Gradient for Color Image Segmentation....Pages 199-206
Automatic Watershed Segmentation of Color Images....Pages 207-214
Motion Segmentation Using Seeded Region Growing....Pages 215-222
A Segmentation Pyramid for the Interactive Segmentation of 3-D Images and Video Sequences....Pages 223-232
Partition Lattice Operators for Extraction of Semantic Video Objects....Pages 233-242
Morphological Granulometric Deconstruction....Pages 243-252
Surface Texture Classification from Morphological Transformations....Pages 253-262
Content Dependent Image Sampling Using Mathematical Morphology: Application to Mipmapping....Pages 263-272
Morphological Pyramids and Wavelets Based on the Quincunx Lattice....Pages 273-281
Morphological Scale-Space Operators: An Algebraic Framework....Pages 282-290
An Idempotent Scale-Space Approach for Morphological Segmentation....Pages 291-300
Efficient Dilation, Erosion, Opening and Closing Algorithms....Pages 301-310
Fast Morphological Attribute Operations Using Tarjan’s Union-Find Algorithm....Pages 311-320
A Change Detector Based on Level Sets....Pages 321-330
A General Algorithm for Computing Distance Transforms in Linear Time....Pages 331-340
The Ordered Queue and the Optimality of the Watershed Approaches....Pages 341-350
Discrete 3D Wave Propagation for Computing Morphological Operations from Surface Patches and Unorganized Points....Pages 351-360
Two-Stage Lossy/Lossless Compression of Grayscale Document Images....Pages 361-370
Boosting OCR Classifier by Optimal Edge Noise Filtering....Pages 371-380
Morphological Bank Check Logo Segmentation With Few A Prior Knowledge....Pages 381-388
Morphological Pseudo Convex Hull to Correct Handwriting Baseline skew....Pages 389-396
Morphological Segmentation of Text and Figures in Renaissance Books (XVI Century)....Pages 397-404
Application of Mathematical Morphology and Markov Random Field Theory to the Automatic Extraction of Linear Features in Airborne Images....Pages 405-414
Testing Some Morphological Approaches to Face Localization....Pages 415-424
Quantitative Description of Telecommunication Networks by Simulation....Pages 425-432
Back Matter....Pages 433-445
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