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» Topological Persistence and Simplification
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COMPGEOM
2007
ACM
13 years 11 months ago
The theory of multidimensional persistence
Persistent homology captures the topology of a filtration
Gunnar Carlsson, Afra Zomorodian
MICCAI
2004
Springer
14 years 8 months ago
A Data Clustering and Streamline Reduction Method for 3D MR Flow Vector Field Simplification
Abstract. With the increasing capability of MR imaging and Computational Fluid Dynamics (CFD) techniques, a significant amount of data related to the haemodynamics of the cardiovas...
Bernardo Silva Carmo, Yin-Heung Pauline Ng, Adam P...
SMA
2005
ACM
119views Solid Modeling» more  SMA 2005»
14 years 1 months ago
Tightening: curvature-limiting morphological simplification
Given a planar set S of arbitrary topology and a radius r, we show how to construct an r-tightening of S, which is a set whose boundary has a radius of curvature everywhere greate...
Jason Williams, Jarek Rossignac
ISBI
2011
IEEE
12 years 11 months ago
Discriminative persistent homology of brain networks
It is known that the brain network has small-world and scalefree topology, but the network structures drastically change depending on how to threshold a connectivity matrix. The e...
Hyekyoung Lee, Moo K. Chung, Hyejin Kang, Bung-Nyu...
DGCI
2006
Springer
13 years 11 months ago
Optimization Schemes for the Reversible Discrete Volume Polyhedrization Using Marching Cubes Simplification
The aim of this article is to present a reversible and topologically correct construction of a polyhedron from a binary object. The proposed algorithm is based on a Marching Cubes...
David Coeurjolly, Florent Dupont, Laurent Jospin, ...