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DCG
2006
78views more  DCG 2006»
13 years 7 months ago
A Geometric Study of the Split Decomposition
This paper sheds a new light on the split decomposition theory and T-theory from the viewpoint of convex analysis and polyhedral geometry. By regarding finite metrics as discrete ...
Hiroshi Hirai
ICIP
2009
IEEE
13 years 5 months ago
Geometrical plenoptic sampling
In this paper, we present a general framework for analysis of plenoptic sampling by investigating the spectral analysis of plenoptic imaging. The proposed framework provides a uni...
Chong Chen, Dan Schonfeld
COMPGEOM
2004
ACM
14 years 29 days ago
The geometric thickness of low degree graphs
We prove that the geometric thickness of graphs whose maximum degree is no more than four is two. In our proofs, we present a space and time efficient embedding technique for gra...
Christian A. Duncan, David Eppstein, Stephen G. Ko...
EATCS
2002
46views more  EATCS 2002»
13 years 7 months ago
Understanding the Mulmuley-Sohoni Approach to P vs. NP
We explain the essence of K. Mulmuley and M. Sohoni, "Geometric Complexity Theory I: An Approach to the P vs. NP and Related Problems" [MS02] for a general complexity-the...
Kenneth W. Regan
GD
2009
Springer
13 years 10 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer