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Artículo
Cellular Skeletons: A New Approach to Topological Skeletons with Geometric Features
(2015)
This paper introduces a new kind of skeleton for binary volumes called the cellular skeleton. This skeleton is not a subset of voxels of a volume nor a subcomplex of a cubical complex: it is a chain complex together with ...
Artículo
Allowing cycles in discrete Morse theory
(Elsevier, 2017)
Discrete gradient vector fields are combinatorial structures that can be used for accelerating the homology computation of CW complexes, such as simplicial or cubical complexes, by reducing their number of cells. Consequently, ...
Artículo
Searching combinatorial optimality using graph-based homology information
(2015)
This paper analyses the topological information of a digital object O under a combined combinatorial-algebraic point of view. Working with a topology-preserving cellularization K(O) of the object, algebraic and combinatorial ...
Artículo
A continuous analog for 4-dimensional objects
(2013)
In this paper, we follow up on the studies developed by Kovalevsky (Comput Vis Graph Image Process 46:141–161, 1989) and Kenmochi et al. (Comput Vis Image Underst 71:281–293, 1998), which defined a continuous analog for a ...