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COMPGEOM
2010
ACM
14 years 3 months ago
Constructing Reeb graphs using cylinder maps
The Reeb graph of a scalar function represents the evolution of the topology of its level sets. In this video, we describe a near-optimal output-sensitive algorithm for computing ...
Harish Doraiswamy, Aneesh Sood, Vijay Natarajan
COMPGEOM
2005
ACM
14 years 1 days 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...
SIAMSC
2011
153views more  SIAMSC 2011»
13 years 5 months ago
Stable Computations with Gaussian Radial Basis Functions
Abstract. Radial basis function (RBF) approximation is an extremely powerful tool for representing smooth functions in non-trivial geometries, since the method is meshfree and can ...
Bengt Fornberg, Elisabeth Larsson, Natasha Flyer
VISUALIZATION
2005
IEEE
14 years 3 months ago
Framework for Visualizing Higher-Order Basis Functions
Techniques in numerical simulation such as the finite element method depend on basis functions for approximating the geometry and variation of the solution over discrete regions ...
William J. Schroeder, François Bertel, Math...
3DPVT
2002
IEEE
169views Visualization» more  3DPVT 2002»
14 years 3 months ago
Compression of Isosurfaces for Structured Volumes with Context Modelling
In many applications surfaces with a large number of primitives occur. Geometry compression reduces storage space and transmission time for such models. A special case is given by...
Dietmar Saupe, Jens-Peer Kuska