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COMPGEOM
2003
ACM
14 years 23 days ago
Local polyhedra and geometric graphs
We introduce a new realistic input model for geometric graphs and nonconvex polyhedra. A geometric graph G is local if (1) the longest edge at every vertex v is only a constant fa...
Jeff Erickson
PODC
2003
ACM
14 years 23 days ago
Geometric ad-hoc routing: of theory and practice
All too often a seemingly insurmountable divide between theory and practice can be witnessed. In this paper we try to contribute to narrowing this gap in the field of ad-hoc rout...
Fabian Kuhn, Roger Wattenhofer, Yan Zhang, Aaron Z...
COMPGEOM
2009
ACM
14 years 2 months ago
Near-linear approximation algorithms for geometric hitting sets
Given a set system (X, R), the hitting set problem is to find a smallest-cardinality subset H ⊆ X, with the property that each range R ∈ R has a non-empty intersection with H...
Pankaj K. Agarwal, Esther Ezra, Micha Sharir
GMP
2006
IEEE
155views Solid Modeling» more  GMP 2006»
14 years 1 months ago
Geometric Accuracy Analysis for Discrete Surface Approximation
In geometric modeling and processing, computer graphics and computer vision, smooth surfaces are approximated by discrete triangular meshes reconstructed from sample points on the...
Junfei Dai, Wei Luo, Shing-Tung Yau, Xianfeng Gu
GECCO
2006
Springer
164views Optimization» more  GECCO 2006»
13 years 11 months ago
Biobjective evolutionary and heuristic algorithms for intersection of geometric graphs
Wire routing in a VLSI chip often requires minimization of wire-length as well as the number of intersections among multiple nets. Such an optimization problem is computationally ...
Rajeev Kumar, Pramod Kumar Singh, Bhargab B. Bhatt...