1993 | OriginalPaper | Buchkapitel
Combinatorics and Algorithms of Arrangements
verfasst von : Leonidas Guibas, Micha Sharir
Erschienen in: New Trends in Discrete and Computational Geometry
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In this chapter we study the combinatorial structure of arrangements of algebraic curves or surfaces in low-dimensional Euclidean space. Such arrangements arise in many geometric problems, as will be exemplified below. To introduce the class of problems we will be interested in, we begin with the following concrete example, taken from the theory of motion planning in robotics.