REINA MOLINA , Raúl

Un objeto digital es un conjunto de n-xels en de una imagen digital n-dimensional. El estudio de la conectividad de estos objetos, interpretados de manera discreta, subdividida o continua, ha sido una custión prioritaria desde los inicios del tratamiento de Imagen Digital. Las herramientas topológicas que se han usado exhaustivamente en esta...

Algebraic Topology has been proved to be an useful tool to be used in image processing. In this case we will borrow some elements from Algebraic Topology in order to show a parallel algorithm for thinning a binary 3D image respecting its shape information. The parallelization of the thinning algorithm is based on Membrane Computing. This...

We present a solution of the segmentation problem using a distributed, non deterministic and parallel computational model known as tissue-like P systems. We present a new technique to segment images with respect to the algorithm appeared in [1], where we use multiple auxiliary cells and not only one.

In this paper, we show a new example of bridging Algebraic Topology, Membrane Computing and Digital Images. In [24], a new algorithm for thinning multidimensional black and white digital images by using cell complexes was presented. Such cell complexes allow a discrete partition of the space and the algorithm preserves topological and...

In this paper we report a work-in-progress whose final target is the implementation of tissue-like P system in a cluster of computers which solves some instances of the segmentation problem in 2D Digital Imagery. We focus on the theoretical aspects and the problem of choosing a maximal number of application of rules by using Integer Linear...

In [18], a membrane parallel theoretical framework for computing (co)homology information of fore- ground or background of binary digital images is developed. Starting from this work, we progress here in two senses: (a) providing advanced topological information, such as (co)homology torsion and effi- ciently answering to any decision or...

In this paper, we propose a bio-inspired membrane computational framework for constructing discrete Morse complexes for binary digital images. Our approach is based on the discrete Morse theory and we work with cubical complexes. As example, a parallel algorithm for computing homology groups of binary 3D digital images is designed.

Counting the number of cells obtained in an experiment is crucial in many areas in Biology. Nonetheless, this is usually performed by hand by the researcher due the intrinsic difficulty of the task. In this paper, we present a set of techniques for counting cells inspired in the treatment of Digital Images via tissue-like P systems with promoters.