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» Complexity of Some Geometric and Topological Problems
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289views
12 years 5 months ago
An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization str...
Claudio Mattiussi
IMR
1998
Springer
13 years 11 months ago
Boundary Layer Meshing for Viscous Flows in Complex Domains
High reynolds number ow simulations exhibit strong gradients normal to walls and across shear layers requiring much ner resolution of the solution in some directions compared to o...
Rao V. Garimella, Mark S. Shephard
COMPGEOM
2010
ACM
13 years 12 months ago
Adding one edge to planar graphs makes crossing number hard
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
Sergio Cabello, Bojan Mohar
ICCV
2005
IEEE
14 years 12 days ago
More-Than-Topology-Preserving Flows for Active Contours and Polygons
Active contour and active polygon models have been used widely for image segmentation. In some applications, the topology of the object(s) to be detected from an image is known a ...
Ganesh Sundaramoorthi, Anthony J. Yezzi
GLVLSI
2009
IEEE
159views VLSI» more  GLVLSI 2009»
14 years 1 months ago
On the complexity of graph cuboidal dual problems for 3-D floorplanning of integrated circuit design
This paper discusses the impact of migrating from 2-D to 3-D on floorplanning and placement. By looking at a basic formulation of graph cuboidal dual problem, we show that the 3-...
Renshen Wang, Chung-Kuan Cheng