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IPCO
1996
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14 years 6 days ago
An Optimal, Stable Continued Fraction Algorithm
We analyse a continued fraction algorithm (abbreviated CFA) for arbitrary dimension n showing that it produces simultaneous diophantine approximations which are up to the factor 2(...
Carsten Rössner, Claus-Peter Schnorr
IWCIA
2004
Springer
14 years 4 months ago
Curves, Hypersurfaces, and Good Pairs of Adjacency Relations
In this paper we propose several equivalent definitions of digital curves and hypersurfaces in arbitrary dimension. The definitions involve properties such as one-dimensionality ...
Valentin E. Brimkov, Reinhard Klette
DGCI
2005
Springer
14 years 4 months ago
Computation of Homology Groups and Generators
Topological invariants are extremely useful in many applications related to digital imaging and geometric modeling, and homology is a classical one, which has not yet been fully e...
Samuel Peltier, Sylvie Alayrangues, Laurent Fuchs,...
IWCIA
2009
Springer
14 years 5 months ago
Collapses and Watersheds in Pseudomanifolds
This work is settled in the framework of abstract simplicial complexes. We propose a definition of a watershed and of a collapse for maps defined on pseudomanifolds of arbitrary ...
Jean Cousty, Gilles Bertrand, Michel Couprie, Laur...
EUROGRAPHICS
2010
Eurographics
14 years 8 months ago
Isosurfaces Over Simplicial Partitions of Multiresolution Grids
We provide a simple method that extracts an isosurface that is manifold and intersection-free from a function over an arbitrary octree. Our method samples the function dual to min...
Josiah Manson and Scott Schaefer