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» Topological Persistence and Simplification
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COMPGEOM
2007
ACM
15 years 1 months ago
The theory of multidimensional persistence
Persistent homology captures the topology of a filtration
Gunnar Carlsson, Afra Zomorodian
MICCAI
2004
Springer
15 years 10 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»
15 years 3 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
14 years 1 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...
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DGCI
2006
Springer
15 years 1 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, ...