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E-raamat: Mathematical Morphology and Its Applications to Image and Signal Processing

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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 Signal Processing, 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.
Preface ix Introduction 1(2) Theory A Morphological View on Traditional Signal Processing 3(10) R. Keshet From the Sup-Decomposition to a Sequential Decomposition 13(10) R. F. Hashimoto J. Barrera E. R. Dougherty Decomposition of Separable Concave Structuring Functions 23(10) R. Van Den Boomgaard E. A. Engbers A. A. M. Smeulders Minkowski Sum Volume Minimization for Convex Polyhedra 33(8) A. V. Tuzikov S. A. Sheynin Topological Properties of Hausdorff Discretizations 41(10) M. Tajine C. Ronse Vectorial Levelings and Flattenings 51(10) F. Meyer A Lattice Control Model of Fuzzy Dynamical Systems in State-Space 61(10) P. Maragos G. Stamou S. Tzafestas Shape Analysis and Interpolation A Morphological Interpolation Approach -- Geodesic Set Definition in Case of Empty Intersection 71(10) I. Granado N. Sirakov F. Muge The Morphological-Affine Object Deformation 81(10) M. Iwanowski J. Serra Affine Invariant Mathematical Morphology Applied to a Generic Shape Recognition Algorithm 91(8) J. L. Lisani L. Moisan P. Monasse J. M. Morel Filtering Folding Induced Self-Dual Filters 99(10) A. J. H. Mehnert P. T. Jackway Flexible Linear Openings and Closings 109(10) M. Buckley H. Talbot Some Applications of Aperture Filters 119(10) R. Hirata Jr. E. R. Dougherty J. Barrera GA Optimisation of Multidimensional Grey-Scale Soft Morphological Filters with Applications in Archive Film Restoration 129(10) N. R. Harvey S. Marshall Connectivity and Connected Operators New Insight on Digital Topology 139(10) G. J. F. Banon Approximate Connectivity and Mathematical Morphology 149(10) A. T. Popov Multiresolution Connectivity: An Axiomatic Approach 159(10) U. M. Braga-Neto J. Goutsias Connected Operators Based on Region-Tree Pruning 169(10) P. Salembier L. Garrido Segmentation Image Segmentation Based on the Derivative of the Morphological Profile 179(10) M. Pesaresi J. A. Benedikisson Flooding and Segmentation 189(10) F. Meyer A Morphological Multi-Scale Gradient for Color Image Segmentation 199(8) M. C. DOrnellas R. Van Den Boomgaard Automatic Watershed Segmentation of Color Images 207(8) I. Vanhamel H. Sahli I. Pratikakis Motion Segmentation using Seeded Region Growing 215(8) R. Beare H. Talbot A Segmentation Pyramid for the Interactive Segmentation of 3-D Images and Video Sequences 223(10) F. Zanoguera B. Marcotegui F. Meyer Partition Lattice Operators for Extraction of Semantic Video Objects 233(10) D. Gatica-Perez M. -T. Sun C. Gu Texture Analysis Morphological Granulometric Deconstruction 243(10) P. Pina Surface Texture Classification from Morphological Transformations 253(10) A. Aubert D. Jeulin R. Hashimoto Content Dependent Image Sampling using Mathematical Morphology: Application to Mipmapping 263(10) E. D. Ferrandiere B. Marcotegui F. Meyer Multiresolution Techniques and Scale-Spaces Morphological Pyramids and Wavelets Based on the Quincunx Lattice 273(10) H. J. A. M. Heijmans J. Goutsias Morphological Scale-Space Operators: An Algebraic Framework 283(8) R. Van Den Boomgaard H. J. A. M. Heijmans An Idempotent Scale-Space Approach for Morphological Segmentation 291(10) N. J. Leite M. D. Teixeira Algorithms Efficient Dilation, Erosion, Opening and Closing Algorithms 301(10) J. Gil R. Kimmel Fast Morphological Attribute Operating using Tarjans Union-Find Algorithm 311(10) M. H. F. Wilkinson J. B. T. M. Roerdink A Change Detector Based on Level Sets 321(10) F. Guichard S. Bouchafa D. Aubert A General Algorithm for Computing Distance Transforms in Linear Time 331(10) A. Meijster J. B. T. M. Roerdink W. H. Hesselink The Ordered Queue and the Optimality of the Watershed Approaches 341(10) R. Lotufo A. Falcao Discrete 3D Wave Propagation for Computing Morphological Operations from Surface Patches and Unorganized Points 351(10) F. F. Leymarie B. B. Kimia Applications Two-Stage Lossy/Lossless Compression of Grayscale Document Images 361(10) K. Popat D. S. Bloomberg Boosting OCR Classifier by Optimal Edge Noise Filtering 371(10) J. Barrera M. Brun R. Terada E. R. Dougherty Morphological Bank Check Logo Segmentation with Few a Priori Knowledge 381(8) A. De Jesus J. Facon Morphological Pseudo Convex Hull to Correct Handwriting Baseline Skew 389(8) A. Rocha J. Facon F. Bortolozzi R. Sabourin Morphological Segmentation of Text and Figures in Renaissance Books (XVI Century) 397(8) M. Mengucci I.Granado Application of Mathematical Morphology and Markov Random Field Theory to the Automatic Extraction of Linear Features in Airborne Images 405(10) A. Katartzis V. Pizurica H. Sahli Testing Some Morphological Approaches to Face Localization 415(10) B. Raducanu M. Grana Quantitative Description of Telecommunication Networks by Simulation 425(8) F. Tournois C. Lantuejoul M. Schmitt Author Index 433(2) Subject Index 435