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COMPGEOM
2006
ACM
16 years 8 days 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
15 years 11 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»
15 years 6 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»
15 years 6 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»
15 years 6 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...