Mathematical Morphology and Its Applications to Image and Signal Processing [Paperback]

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.Theory.- A Morphological View on Traditional Signal Processing.- From the Sup-Decomposition to A Sequential Decomposition.- Decomposition of Separable Concave Structuring Functions.- Minkowski Sum Volume Minimization for Convex Polyhedra.- Topological Properties of Hausdorff Discretizations.- Vectorial Levelings and Flattenings.- Shape Analysis and Interpolation.- A Morphological Interpolation Approach  Geodesic Set Definition in Case of Empty Intersection.- The Morphological-Affine Object Deformation.- Affine Invariant Mathematical Morphology Applied to A Generic Shape Recognition Algorithm.- Filtering.- Folding Induced Self-Dual Filters.- Flexible Linear Openings anl3ª