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Constructs, maintains, modifies, traverses, queries, and presents arrangements on two-dimensional parametric surfaces. Complete and Robust All inputs are handled correctly (including degenerate input). Exact number types are used to achieve robustness. Generic – easy to interface, extend, and adapt Modular – geometric and topological aspects are separated Supports among the others: various poin...
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Given a finite collection S of geometric objects such as hyperplanes or spheres in R , the arrangement A(S) is the decomposition of R into connected open cells of dimensions 0, 1, . . . , d induced by S. Besides being interesting in their own right, arrangements of hyperplanes have served as a unifying structure for many problems in discrete and computational geometry. With the recent advances ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2014
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2014.03.003