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» Graph-Theoretic Solutions to Computational Geometry Problems
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IVC
2000
179views more  IVC 2000»
13 years 7 months ago
A system to place observers on a polyhedral terrain in polynomial time
The Art Gallery Problem deals with determining the number of observers necessary to cover an art gallery room such that every point is seen by at least one observer. This problem ...
Maurício Marengoni, Bruce A. Draper, Allen ...
SGP
2003
13 years 8 months ago
Global Conformal Parameterization
We solve the problem of computing global conformal parameterizations for surfaces with nontrivial topologies. The parameterization is global in the sense that it preserves the con...
Xianfeng Gu, Shing-Tung Yau
COMPGEOM
2004
ACM
14 years 28 days ago
Inner and outer rounding of set operations on lattice polygonal regions
Robustness problems due to the substitution of the exact computation on real numbers by the rounded floating point arithmetic are often an obstacle to obtain practical implementa...
Olivier Devillers, Philippe Guigue
COMGEO
2006
ACM
13 years 7 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
COMPGEOM
2004
ACM
14 years 28 days ago
Towards in-place geometric algorithms and data structures
For many geometric problems, there are efficient algorithms that use surprisingly very little extra space other than the given array holding the input. For many geometric query pr...
Hervé Brönnimann, Timothy M. Chan, Eri...