Computational Geometry - Methods, Algorithms and Applications

This volume presents the proceedings of the Seventh International Workshop on Computational Geometry, CG'91, held at the University of Berne, Switzerland, March 21/22, 1991. Computational geometry is not a precisely defined field. Often, it is understood as a nearly mathematical discipline, dealing mainly with complexity questions concerning geometrical problems and algorithms. But often too, and perhaps increasingly, questions of more practical relevance are central, such as applicability, numerical behavior and performance for all kinds of input size. Topics considered in CG'91 include: - Generalizations and applications of the Voronoi diagram - Problems with rectangular objects - Path determination - Moving objects - Visibility questions - Layout problems - Representation of spatial objects and spatial queries - Problems in higher dimensions - Implementation questions - Relations to artificial intelligence.

Autorentext
Prof. Dr. Hartmut Noltemeier ist Emeritus der Universität Würzburg.

Inhalt
The post office problem for fuzzy point sets.- An optimal algorithm for approximating a set of rectangles by two minimum area rectangles.- An on-line algorithm for constructing sweep planes in regular position.- Performance analysis of three curve representation schemes.- Preclassification and delayed classification of boundary entities in arbitrary dimensions.- On the morphology of polytopes in ?d.- Robustness in geometric modeling Tolerance-based methods.- On shortest networks for classes of points in the plane.- Determination of the symmetries of polyhedra and an application to object recognition.- Moving along a street (extended abstract).- Planar geometric reasoning with the theory of hints.- Solving algebraic systems in Bernstein-Bézier representation.- XYZ: A project in experimental geometric computation.- Implementing the XYZ GeoBench: A programming environment for geometric algorithms.- Computing the rectilinear link diameter of a polygon.- Layout of flexible manufacturing systems selected problems.- Dynamic Voronoi diagrams in motion planning.- Generating triangulations of 2-manifolds.- The TR*-tree: A new representation of polygonal objects supporting spatial queries and operations.- A Voronoi diagram based adaptive k-means-type clustering algorithm for multidimensional weighted data.- A Generalization of staircase visibility.- A new simple linear algorithm to recognize interval graphs.- Predictions about collision free paths from intersection tests.