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Geometrical problems of image processing. Proceedings of the 5th workshop held in Georgenthal, FRG, March 11-15, 1991. (English) Zbl 0770.68014

Research in Informatics. 4. Berlin: Akademie-Verlag. 204 p. (1991).
The articles of this volume will not be indexed individually.
This volume includes contributions made at the 5-th Workshop on Geometrical Problems of Image Processing.
The emphasis is on the presentation of new ideas, results and experiments in mathematical research in several fields of geometry with respect to theoretical foundation of digital image processing and applications.
Main topics are digital geometry and topology, stochastic geometry and stereology, mathematical morphology, lattice point theory, computational geometry, and applications.
The paper is of interest for researchers with mathematical and theoretical orientation, and for practical applications as well.
The volume includes 5 survey papers, 12 papers on Discrete Geometry and Computational geometry, and 9 papers in integral and Stochastic Geometry, Stereology.
The table of contents is:
Survey Papers
Kropatsh, W.: Irregular versus regular pyramid structures. Schempp, W.: Synthetic aperture radar image processing. Eckardt, U.: Motzkins theorem and its application in image processing. Klette, R.: Geometric models for computer vision. Wills, J. M.: Convexity, lattice points, finite packing, covering.
Discrete/Digital Geometry and Topology
Kipperman, V.: On the use of general topology in image processing. Bierl, H.; Metz, I.: A bintree representation of generalized binary image. Voss, K.: Theory of discrete objects in \(\mathbb{Z}^ n\). Di Gesu, V.; Benda, R.: An algorithm to analyze connected components of binary images. Bitter, M.: Properties and isomorphy of special discrete spaces. Hejmans, H.: Morphological discretization. Schmidt, P.: About the precision of the coefficients of a sweeping plane. Skarbek, W.: ComputationalGeometry techniques in acceleration of ray tracing. Ferianc, P.: Linear systolic array for Voronoi diagram construction in linear time. Ahlfeld, U.; Hecker, H. D.: Minimal watchman graphs in polygons. Bull, M.; Hemmerling, A.: New results on lower bounds in labyrinth theory. Korneenko, N. M.: Voronoi diagrams: Applications and generalizations – a survey.
Integral and Stochastic Geometry, Stereology
Ohser, J.: On estimation of pair correlation functions. Benes, V.: On an application of Matheron’s intrinsic random function. Horalek, V.: A note on dihedral angles and their stereology. Muche, L.: Chord length distribution of the Poisson-Voronoi tesselation in higher dimensional spaces. Lorz, U.: Distribution of cell characteristics of spatial Poisson-Voronoi tesselations and plane sections. Rataj, J.; Saxl, I.: Distances of spherical contact in lattices of figures and lattices of figures with faults. Lieshout, M.: A Bayesian approach to object recognition. Nacken, P.: Hierarchical image structure description based on intensity extrema. Stamler, L.: Minimality and topological structure of piecewise linear isolines.

MSC:

68-06 Proceedings, conferences, collections, etc. pertaining to computer science
68U10 Computing methodologies for image processing
68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
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