Now showing items 1-4 of 4

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      A continuous analog for 4-dimensional objects  [Article]

      Pacheco Martínez, Ana María; Mari, Jean-Luc; Real Jurado, Pedro (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 ...
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      Cellular Skeletons: A New Approach to Topological Skeletons with Geometric Features  [Article]

      González Lorenzo, Aldo; Bac, Alexandra; Mari, Jean-Luc; Real Jurado, Pedro (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 ...
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      Obtaining cell complexes associated to four dimensional digital objects  [Article]

      Pacheco Martínez, Ana María; Mari, Jean-Luc; Real Jurado, Pedro (Universidad de Sevilla, 2010)
      In this paper, we determine a cell complex representation of a 80–adjacent doxelbased 4-dimensional object. The homological information of this polyhedral cell complex can be employed to specify topological features and ...
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      Searching combinatorial optimality using graph-based homology information  [Article]

      Real Jurado, Pedro; Molina Abril, Helena; González Lorenzo, Aldo; Bac, Alexandra; Mari, Jean-Luc (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 ...