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COMPGEOM
2006
ACM
14 years 3 months ago
Medial axis approximation and unstable flow complex
The medial axis of a shape is known to carry a lot of information about it. In particular a recent result of Lieutier establishes that every bounded open subset of Rn has the same...
Joachim Giesen, Edgar A. Ramos, Bardia Sadri
COMPGEOM
2010
ACM
14 years 2 months ago
Approximating loops in a shortest homology basis from point data
Inference of topological and geometric attributes of a hidden manifold from its point data is a fundamental problem arising in many scientific studies and engineering application...
Tamal K. Dey, Jian Sun, Yusu Wang
LMCS
2006
79views more  LMCS 2006»
13 years 9 months ago
Computably Based Locally Compact Spaces
tract Stone Duality) is a re-axiomatisation of general topology in which the topology on a space is treated, not as an infinitary lattice, but as an exponential object of the same...
Paul Taylor 0002
TSP
2008
116views more  TSP 2008»
13 years 9 months ago
Computation of Delay-Free Nonlinear Digital Filter Networks: Application to Chaotic Circuits and Intracellular Signal Transducti
Abstract--A method for the computation of nonlinear digital filter networks containing delay-free loops is proposed. By preserving the topology of the network this method permits t...
Federico Fontana, Federico Avanzini
IJBC
2002
109views more  IJBC 2002»
13 years 9 months ago
Cnn Dynamics represents a Broader Class than PDES
The relationship between Cellular Nonlinear Networks (CNNs) and Partial Differential Equations (PDEs) is investigated. The equivalence between discrete-space CNN models and contin...
Marco Gilli, Tamás Roska, Leon O. Chua, Pie...