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Titlebook: Algorithms in Combinatorial Geometry; Herbert Edelsbrunner Textbook 1987 Springer-Verlag Berlin Heidelberg 1987 Notation.Permutation.algor

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期刊全称Algorithms in Combinatorial Geometry
影响因子2023Herbert Edelsbrunner
视频video
学科分类Monographs in Theoretical Computer Science. An EATCS Series
图书封面Titlebook: Algorithms in Combinatorial Geometry;  Herbert Edelsbrunner Textbook 1987 Springer-Verlag Berlin Heidelberg 1987 Notation.Permutation.algor
影响因子Computational geometry as an area of research in its own right emerged in the early seventies of this century. Right from the beginning, it was obvious that strong connections of various kinds exist to questions studied in the considerably older field of combinatorial geometry. For example, the combinatorial structure of a geometric problem usually decides which algorithmic method solves the problem most efficiently. Furthermore, the analysis of an algorithm often requires a great deal of combinatorial knowledge. As it turns out, however, the connection between the two research areas commonly referred to as computa­ tional geometry and combinatorial geometry is not as lop-sided as it appears. Indeed, the interest in computational issues in geometry gives a new and con­ structive direction to the combinatorial study of geometry. It is the intention of this book to demonstrate that computational and com­ binatorial investigations in geometry are doomed to profit from each other. To reach this goal, I designed this book to consist of three parts, acorn binatorial part, a computational part, and one that presents applications of the results of the first two parts. The choice of the top
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Die Prinzipien der Direktbelichtung,blem by introducing the notion of a so-called zone which is defined relative to some chosen hyperplane in the arrangement. Intuitively, the zone of a hyperplane . contains all faces in the boundaries of those cells which are supported by .. The introduction of this concept is motivated by an algorit
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Materialmodellierung und virtuelles Testen,of hyperplanes. Unfortunately, the rather large number of faces of arrangements entails the use of large amounts of storage. It is thus advantageous to construct only part of an arrangement whenever the problem at hand admits it. Examples of useful structures in arrangements are single cells or face
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Der diskrete Charme des Marktesn of the convex hull. If . is a finite set of points in ., then we write conv. for the convex hull of .. By the definitions given in Appendix A, convP is the set of convex combinations of .. Equivalently, conv. can be defined as
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Kapitalismusanalyse und Kapitalismuskritik,nstructing a single cell in an arrangement provided the number of dimensions is even or equal to three (Chapter 8). Less satisfying methods are available if a structure in an arrangement is to be computed that is more complicated than a single cell. There are two obvious strategies for such computat
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Carsten Heinze,Arthur Schlegelmilchizing a linear objective function . subject to a collection of constraints, where each constraint is a linear inequality.for real numbers υ. through υ. and ω. through ω..,. If the linear program involves . variables, .,.,...,., then each inequality can be interpreted as a closed half-space in ., and
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