Mathematical Morphology and Its Applications to Image Processing

Theory.- Set operator decomposition and conditionally translation invariant elementary operators.- Mutational equations of morphological dilation tubes.- Thresholdings, umbrae, residuals, and surpluses of l-images.- Filtering.- Adaptive parameterized openings.- Synthesis of adaptive weighted order statistic filters with gradient algorithms.- A spatially variant, locally adaptive, background normalization operator.- Using genetic algorithms in the design of morphological filters.- Minimal generator basis of a finite structural opening.- Segmentation.- Watershed, hierarchical segmentation and waterfall algorithm.- Minimum spanning forests for morphological segmentation.- The flat zone approach and color images.- Joint region and motion estimation with morphological tools.- Morphological segmentation of image sequences.- Sampling.- Critical morphological sampling and applications to image coding.- A sampling approach based on equicontinuity.- Coding.- Application of morphological filters for contour image sequence coding.- The geodesic morphological skeleton and fast transformation algorithms.- Multi—parameter skeleton decomposition.- Representations and slope transform.- Morphological systems theory: slope transforms, Max—Min differential equations, envelope filters, and sampling.- Two dual representations of morphology based on the parallel normal transport property.- Dominance and incidence structures with applications to stochastic geometry and mathematical morphology.- Granulometries and shape description.- The multiscale morphology decomposition theorem.- Statistical pattern spectrum for binary pattern recognition.- Generalized geodesic distances applied to interpolation and shape description.- Random models and tessellations.- Performance analysis of amorphological Voronoï tessellation algorithm.- Optimization in Voronoï diagrams.- A stochastic tessellation of digital space.- Liquid phase sintered materials modelling by random closed sets.- Monte-Carlo estimation of morphological granulometric discrete size distributions.- Algorithmic techniques.- On the implementation of morphological operations.- An evaluation of priority queues for mathematical morphology.- One pixel thick skeletons.- Fast grayscale granulometry algorithms.- An efficient implementation technique of adaptive morphological operations.- Implementation of a distributed watershed algorithm.- Visualization of Minkowski operations by computer graphics techniques.- Morphogenesis simulations with lattice gas.- Biological applications.- Single object geometry — the stereology of registered serial sections.- Texture classification using neural networks and local granulometries.- Fusion of MR and CT images of the human brain using multiresolution morphology.- Morphological scheme for morphometric analysis of epidermal biopsy images.- Automatic quantification of spine parameters from X—ray images by means of morphological tools.- Industrial and remote sensing applications.- Image Processing: a key to success in industrial applications.- Radar images analysis using morphological filters.- Application of morphological operators to supervised multidimensional data classification.- Appendix A.- The “Centre de Morphologie Mathémathique”: an overview.- Appendix B.- List of posters contributions presented at ISMM’94.- Author Index.