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» Topological Persistence and Simplification
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COMPGEOM
2009
ACM
14 years 2 months ago
Proximity of persistence modules and their diagrams
Topological persistence has proven to be a key concept for the study of real-valued functions defined over topological spaces. Its validity relies on the fundamental property tha...
Frédéric Chazal, David Cohen-Steiner...
CORR
2008
Springer
70views Education» more  CORR 2008»
13 years 7 months ago
Necessary Conditions for Discontinuities of Multidimensional Size Functions
Some new results about multidimensional Topological Persistence are presented, proving that the discontinuity points of a k-dimensional size function are necessarily related to the...
Andrea Cerri, Patrizio Frosini
EDUTAINMENT
2007
Springer
13 years 11 months ago
View-Dependent Hierarchical Foliage Simplification
High compression of plant geometry is an important aspect in fast realistic visualization of plants. Hierarchical structuring plant morphology is a key factor for real time plant r...
Qingqiong Deng, Xiaopeng Zhang, Marc Jaeger
VISUALIZATION
2000
IEEE
13 years 11 months ago
Simplification of Tetrahedral meshes with accurate error evaluation
The techniques for reducing the size of a volume dataset by preserving both the geometrical/topological shape and the information encoded in an attached scalar field are attractin...
Paolo Cignoni, D. Constanza, Claudio Montani, Clau...
TOG
2008
130views more  TOG 2008»
13 years 7 months ago
Quadrilateral mesh simplification
We introduce a simplification algorithm for meshes composed of quadrilateral elements. It is reminiscent of edge-collapse based methods for triangle meshes, but takes a novel appr...
Joel Daniels II, Cláudio T. Silva, Jason Sh...