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COMPGEOM
1994
ACM
13 years 10 months ago
Almost Tight Upper Bounds for the Single Cell and Zone Problems in Three Dimensions
We consider the problem of bounding the combinatorial complexity of a single cell in an arrangement of n low-degree algebraic surface patches in 3-space. We show that this complex...
Dan Halperin, Micha Sharir
SIAMCOMP
2008
137views more  SIAMCOMP 2008»
13 years 6 months ago
Approximate Shortest Paths in Anisotropic Regions
Our goal is to find an approximate shortest path for a point robot moving in a planar subdivision with n vertices. Let 1 be a real number. Distances in each face of this subdivis...
Siu-Wing Cheng, Hyeon-Suk Na, Antoine Vigneron, Ya...
ESA
2009
Springer
92views Algorithms» more  ESA 2009»
14 years 22 days ago
Minimizing Movement: Fixed-Parameter Tractability
Abstract. We study an extensive class of movement minimization problems which arise from many practical scenarios but so far have little theoretical study. In general, these proble...
Erik D. Demaine, MohammadTaghi Hajiaghayi, D&aacut...
FCT
2003
Springer
13 years 11 months ago
On Boundaries of Highly Visible Spaces and Applications
The purpose of this paper is to investigate the properties of a certain class of highly visible spaces. For a given geometric space C containing obstacles specified by disjoint s...
John H. Reif, Zheng Sun
DCOSS
2011
Springer
12 years 6 months ago
STARS: Static relays for multi-robot real-time search and monitoring
Abstract—We first present a problem called precedence constrained two traveling salesman (PC2TSP). We propose a nearoptimal heuristic to PC2TSP to generate tours by clustering p...
Yuanteng Pei, Matt W. Mutka