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WADS
2005
Springer
111views Algorithms» more  WADS 2005»
14 years 1 months ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
COMPGEOM
2008
ACM
13 years 9 months ago
Circular partitions with applications to visualization and embeddings
We introduce a hierarchical partitioning scheme of the Euclidean plane, called circular partitions. Such a partition consists of a hierarchy of convex polygons, each having small ...
Krzysztof Onak, Anastasios Sidiropoulos
SIROCCO
2001
13 years 9 months ago
Competitive Online Routing in Geometric Graphs
We consider online routing algorithms for finding paths between the vertices of plane graphs. Although it has been shown in Bose et al. [4] that there exists no competitive routin...
Prosenjit Bose, Pat Morin
CG
1999
Springer
13 years 7 months ago
A visibility algorithm for hybrid geometry- and image-based modeling and rendering
Hybrid geometry- and image-based modeling and rendering systems use photographs taken of a real-world environment and mapped onto the surfaces of a 3D model to achieve photorealis...
Thomas A. Funkhouser
DCG
2006
163views more  DCG 2006»
13 years 7 months ago
Isometry-Invariant Valuations on Hyperbolic Space
Abstract. Hyperbolic area is characterized as the unique continuous isometry invariant simple valuation on convex polygons in H2 . We then show that continuous isometry invariant s...
Daniel A. Klain