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» On the Construction of Abstract Voronoi Diagrams
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VLDB
2006
ACM
171views Database» more  VLDB 2006»
14 years 8 months ago
Grid-partition index: a hybrid method for nearest-neighbor queries in wireless location-based services
Abstract Traditional nearest-neighbor (NN) search is based on two basic indexing approaches: object-based indexing and solution-based indexing. The former is constructed based on t...
Baihua Zheng, Jianliang Xu, Wang-Chien Lee, Dik Lu...
IJRR
2000
113views more  IJRR 2000»
13 years 8 months ago
Sensor-Based Exploration: The Hierarchical Generalized Voronoi Graph
The hierarchical generalized Voronoi graph (HGVG) is a new roadmap developed for sensor-based exploration in unknown environments. This paper defines the HGVG structure: a robot c...
Howie Choset, Joel W. Burdick
DCG
2008
93views more  DCG 2008»
13 years 8 months ago
Metric Combinatorics of Convex Polyhedra: Cut Loci and Nonoverlapping Unfoldings
Let S be the boundary of a convex polytope of dimension d + 1, or more generally let S be a convex polyhedral pseudomanifold. We prove that S has a polyhedral nonoverlapping unfold...
Ezra Miller, Igor Pak
SIGGRAPH
2010
ACM
14 years 1 months ago
Matching fluid simulation elements to surface geometry and topology
We introduce an Eulerian liquid simulation framework based on the Voronoi diagram of a potentially unorganized collection of pressure samples. Constructing the simulation mesh in ...
Tyson Brochu, Christopher Batty, Robert Bridson
ESA
2006
Springer
130views Algorithms» more  ESA 2006»
14 years 6 days ago
Robust, Generic and Efficient Construction of Envelopes of Surfaces in Three-Dimensional Spaces
Lower envelopes are fundamental structures in computational geometry, which have many applications, such as computing general Voronoi diagrams and performing hidden surface removal...
Michal Meyerovitch