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IMR
2004
Springer
15 years 9 months ago
An Evolvable Meshing Tool Through a Flexible Object-Oriented Design
There are many diverse algorithms for generating a first mesh, refining it and improving it. A tool that allows us to interchange these algorithms according to the requirements ...
M. Cecilia Bastarrica, Nancy Hitschfeld-Kahler
IMR
2003
Springer
15 years 9 months ago
Mesh Refinement Based on the 8-Tetrahedra Longest- Edge Partition
The 8-tetrahedra longest-edge (8T-LE) partition of any tetrahedron is defined in terms of three consecutive edge bisections, the first one performed by the longest-edge. The ass...
Angel Plaza, Maria-Cecilia Rivara
COMPGEOM
2005
ACM
15 years 6 months ago
Stability of persistence diagrams
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
COMPGEOM
2008
ACM
15 years 6 months ago
Reeb spaces of piecewise linear mappings
Generalizing the concept of a Reeb graph, the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of ...
Herbert Edelsbrunner, John Harer, Amit K. Patel
COMPGEOM
2011
ACM
14 years 7 months ago
Ant-sweep: a decentral strategy for cooperative cleaning in expanding domains
Several recent works considered cooperative cleaning in static and dynamic environments, which incorporates a swarm of simple robots cleaning an expanding region of contaminated c...
Thilo Beckmann, Rolf Klein, David Kriesel, Elmar L...