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ICRA
2007
IEEE
197views Robotics» more  ICRA 2007»
14 years 5 months ago
Detecting and Tracking Level Sets of Scalar Fields using a Robotic Sensor Network
— We introduce an algorithm which detects and traces a specified level set of a scalar field (a contour) on a plane. A network of static sensor nodes with limited communication...
Karthik Dantu, Gaurav S. Sukhatme
COMPGEOM
2010
ACM
14 years 3 months ago
Constructing Reeb graphs using cylinder maps
The Reeb graph of a scalar function represents the evolution of the topology of its level sets. In this video, we describe a near-optimal output-sensitive algorithm for computing ...
Harish Doraiswamy, Aneesh Sood, Vijay Natarajan
COMPGEOM
1994
ACM
14 years 2 months ago
Constructing Levels in Arrangements and Higher Order Voronoi Diagrams
We give simple randomized incremental algorithms for computing the k-level in an arrangement of n lines in the plane or in an arrangement of n planes in R3. The expected running ti...
Pankaj K. Agarwal, Mark de Berg, Jirí Matou...
VLDB
2008
ACM
103views Database» more  VLDB 2008»
14 years 11 months ago
The optimal sequenced route query
Several variations of nearest neighbor (NN) query have been investigated by the database community. However, realworld applications often result in the formulation of new variatio...
Mehdi Sharifzadeh, Mohammad R. Kolahdouzan, Cyrus ...
COMGEO
2006
ACM
13 years 10 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