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» On the Construction of Abstract Voronoi Diagrams
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VLDB
2006
ACM
171views Database» more  VLDB 2006»
16 years 6 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»
15 years 5 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»
15 years 6 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
15 years 10 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»
15 years 9 months 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