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» Complexity of Some Geometric and Topological Problems
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COMPGEOM
2005
ACM
13 years 10 months ago
Inequalities for the curvature of curves and surfaces
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
David Cohen-Steiner, Herbert Edelsbrunner
IJCAI
1989
13 years 9 months ago
Reasoning about Kinematic Topology
t ion which is much more abstract than a place vocabulary, the kinematic topology. Kinematic topology does not define qualitative inference rules, but provides a characterization o...
Boi Faltings, Emmanuel Baechler, J. Primus
CCA
2009
Springer
14 years 3 months ago
Real Computation with Least Discrete Advice: A Complexity Theory of Nonuniform Computability
It is folklore particularly in numerical and computer sciences that, instead of solving some general problem f : A → B, additional structural information about the input x ∈ A ...
Martin Ziegler
IMR
2007
Springer
14 years 2 months ago
CUBIT and Seismic Wave Propagation Based Upon the Spectral-Element Method: An Advanced Unstructured Mesher for Complex 3D Geolog
Unstructured hexahedral mesh generation is a critical part of the modeling process in the Spectral-Element Method (SEM). We present some examples of seismic wave propagation in co...
Emanuele Casarotti, Marco Stupazzini, Shiann Lee, ...
CCCG
2006
13 years 10 months ago
Polygon Reconstruction from Line Cross-Sections
We study the following geometric probing problem: Reconstruct a planar polygon from its intersections with a collection of arbitrarily-oriented "cutting" lines. We propo...
Gill Barequet, Craig Gotsman, Avishay Sidlesky