We show that the persistent homology of a filtered ddimensional simplicial complex is simply the standard homology of a particular graded module over a polynomial ring. Our analy...
In this paper, we present a novel approach to automatically determine the positions of sensors and actuators in an ad-hoc distributed network of heterogeneous general purpose comp...
A geometric approach to the computation of precise or well approximated tolerance zones for CAD constructions is given. We continue a previous study of linear constructions and fr...
Helmut Pottmann, Boris Odehnal, Martin Peternell, ...
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,...
We present an approach to parallel variational optical flow computation by using an arbitrary partition of the image plane and iteratively solving related local variational proble...