NameMolina Abril, Helena
DepartmentMatemática Aplicada I
Knowledge areaMatemática Aplicada
Professional categoryProfesora Titular de Universidad
E-mailRequest
           
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Article
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Parallel homological calculus for 3D binary digital images

Díaz del Río, Fernando; Molina Abril, Helena; Real Jurado, Pedro; Onchis, Darian M.; Blanco Trejo, Sergio (Springer, 2024)
Topological representations of binary digital images usually take into consideration different adjacency types between ...
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Sex-specific differences in intestinal microbiota associated with cardiovascular diseases

García Fernández, Helena; Arenas de Larriva, Antonio Pablo; López Moreno, Javier; Gutiérrez Mariscal, Francisco Miguel; Romero Cabrera, Juan Luis; Molina Abril, Helena; Torres Peña, José David; Rodríguez Cano, Diego; Malagón Poyato, María del Mar; Ordovás Muñoz, José María; Delgado Lista, Javier; Pérez Martínez, Pablo; López Miranda, José; Camargo García, Antonio (BMC, 2024)
Background Cardiovascular diseases (CVD), including coronary heart disease (CHD), display a higher prevalence in men than ...
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Analysis of Connectome Graphs Based on Boundary Scale

Morón Fernández, María José; Amedeo, Ludovica Maria; Monterroso Muñoz, Alberto; Molina Abril, Helena; Díaz del Río, Fernando; Bini, Fabiano; Marinozzi, Franco; Real Jurado, Pedro (MDPI, 2023)
The purpose of this work is to advance in the computational study of connectome graphs from a topological point of view. ...
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Fully parallel homological region adjacency graph via frontier recognition

Díaz del Río, Fernando; Sánchez Cuevas, Pablo; Morón Fernández, María José; Cascado Caballero, Daniel; Molina Abril, Helena; Real Jurado, Pedro (MDPI, 2023)
Relating image contours and regions and their attributes according to connectivity based on incidence or adjacency is a ...
Presentation
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On the Topological Disparity Characterization of Square-Pixel Binary Image Data by a Labeled Bipartite Graph

Sánchez Cuevas, Pablo; Real Jurado, Pedro; Díaz del Río, Fernando; Molina Abril, Helena; Morón Fernández, María José (Springer, 2022)
Given an nD digital image I based on cubical n-xel, to fully characterize the degree of internal topological dissimilarity ...
Presentation
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A Topologically Consistent Color Digital Image Representation by a Single Tree

Sánchez Cuevas, Pablo; Díaz del Río, Fernando; Molina Abril, Helena; Real Jurado, Pedro (Springer, 2021)
A novel, flexible (non-unique) and topologically consistent representation called CRIT (Contour-Region incidence Tree) for ...
Presentation
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Building Hierarchical Tree Representations Using Homological-Based Tools

Díaz del Río, Fernando; Sánchez Cuevas, Pablo; Molina Abril, Helena; Real Jurado, Pedro; Morón Fernández, María José (Springer, 2021)
A new algorithm for computing the α-tree hierarchical repre sentation of a grey-scale digital image is presented here. The ...
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A microbiota-based predictive model for type 2 diabetes remission induced by dietary intervention: Fromthe CORDIOPREV study

Vals Delgado, Cristina; Alcalá Díaz, Juan Francisco; Roncero Ramos, Irene; León Acuña, Ana; Molina Abril, Helena; Gutiérrez Mariscal, Francisco M.; Romero Cabrera, Juan L.; Cruz Ares, Silvia de la; Ommen, Ben van; Castaño, Justo P.; Ordovas, José M.; Pérez Martínez, Pablo; Delgado Lista, Javier; Camargo, Antonio; López Miranda, José (Wiley, 2021)
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An altered microbiota pattern precedes Type 2 diabetes mellitus development: From the CORDIOPREV study

Vals Delgado, Cristina; Alcalá Díaz, Juan Francisco; Molina Abril, Helena; Roncero Ramos, Irene; Caspers, Martien P.M.; Schuren, Frank H.J.; Broek, Tim J. van den; Luque, Raúl; Pérez Martínez, Pablo; Katsiki, Niki; Delgado Lista, Javier; Ordovas, José M.; Ommen, Ben van; Camargo, Antonio; López Miranda, José (Elsevier, 2021)
Introduction A distinctive gut microbiome have been linked to type 2 diabetes mellitus (T2DM). We aimed to evaluate whether ...
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Parallel connected-Component-Labeling based on homotopy trees

Díaz del Río, Fernando; Sánchez Cuevas, Pablo; Molina Abril, Helena; Real Jurado, Pedro (Elsevier, 2020)
Taking advantage of the topological and isotopic properties of binary digital images, we present here anew algorithm for ...
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Neonatal exposure to androgens dynamically alters gut microbiota architecture

Barroso, Alexia; Santos Marcos, José A.; Perdices López, Cecilia; Vega Rojas, Ana; Sánchez Garrido, Miguel Ángel; Krylova, Yelizabeta; Molina Abril, Helena; Ohlsson, Claes; Pérez Martínez, Pablo; Poutanen, Matti; López Miranda, José; Tena Sempere, Manuel; Camargo, Antonio (BioScientifica, 2020)
Gonadal steroids strongly contribute to the metabolic programming that shapes the susceptibility to the manifestation of ...
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Generating (co)homological information using boundary scale

Molina Abril, Helena; Real Jurado, Pedro; Díaz del Río, Fernando (Elsevier, 2020)
In this paper we develop a new computational technique called boundary scale-space theory. This tech- nique is based on ...
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Interplay between gonadal hormones and postnatal overfeeding in defining sex-dependent differences in gut microbiota architecture

Santos Marcos, José A.; Barroso, Alexia; Rangel Zúñiga, Oriol Alberto; Perdices López, Cecilia; Haro, Carmen; Sánchez Garrido, Miguel A.; Molina Abril, Helena; Ohlsson, Claes; Pérez Martínez, Pablo; Poutanen, Matti; López Miranda, José; Pérez Jiménez, Francisco; Tena Sempere, Manuel; Camargo, Antonio (Impact Journals, 2020)
Aging is associated with a decline in sex hormones, variable between sexes, that has an impact on many different body ...
Presentation
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Enhanced Parallel Generation of Tree Structures for the Recognition of 3D Images

Real Jurado, Pedro; Molina Abril, Helena; Díaz del Río, Fernando; Blanco Trejo, Sergio; Onchis, Darian M. (Springer, 2019)
Segmentations of a digital object based on a connectivity criterion at n-xel or sub-n-xel level are useful tools in image ...
Presentation
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Generating Second Order (Co)homological Information within AT-Model Context

Real Jurado, Pedro; Molina Abril, Helena; Díaz del Río, Fernando; Onchis, Darian M. (Springer, 2019)
In this paper we design a new family of relations between (co)homology classes, working with coefficients in a field and ...
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Deregulation of miR-324/KISS1/kisspeptin in early ectopic pregnancy: mechanistic findings with clinical and diagnostic implications

Romero Ruiz, Antonio; Avendaño, María S.; Domínguez, Francisco; Lozoya, Teresa; Molina Abril, Helena; Sangiao Alvarellos, Susana; Gurrea, Marta; Lara Chica, Maribel; Fernández Sánchez, Manuel; Torres Jiménez, Encarnación; Perdices López, Cecilia; Abbara, Ali; Steffani, Liliana; Calzado, Marco A.; Dhillo, Waljit S.; Pellicer, Antonio; Tena Sempere, Manuel (Elsevier, 2019)
Background Ectopic pregnancy is a life-threatening condition for which novel screening tools that would enable early ...
Presentation
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Topological Homogeneity for Electron Microscopy Images

Molina Abril, Helena; Díaz del Río, Fernando; Guerrero Lebrero, María P.; Real Jurado, Pedro; Barcena, Guillermo; Braza, Verónica; Guerrero Vázquez, Elisa; González, David; Galindo Riaño, Pedro Luis (Springer, 2019)
In this paper, the concept of homogeneity is defined, from a topological perspective, in order to analyze how uniform is ...
Presentation
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Homological Region Adjacency Tree for a 3D Binary Digital Image via HSF Model

Real Jurado, Pedro; Molina Abril, Helena; Díaz del Río, Fernando; Blanco Trejo, Sergio (Springer, 2019)
Given a 3D binary digital image I, we define and compute an edge-weighted tree, called Homological Region Tree (or ...
Presentation
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Computing the Component-Labeling and the Adjacency Tree of a Binary Digital Image in Near Logarithmic-Time

Díaz del Río, Fernando; Molina Abril, Helena; Real Jurado, Pedro (Springer, 2019)
Connected component labeling (CCL) of binary images is one of the fundamental operations in real time applications. The ...
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Sex Differences in the Gut Microbiota as Potential Determinants of Gender Predisposition to Disease

Santos Marcos, José A.; Haro, Carmen; Vega Rojas, Ana; Alcalá Díaz, Juan Francisco; Molina Abril, Helena; León Acuña, Ana; López Moreno, Javier; Landa, Blanca B.; Tena Sempere, Manuel; Pérez Martínez, Pablo; López Miranda, José; Pérez Jiménez, Francisco; Camargo, Antonio (Wiley, 2019)
Scope: Dysbiosis of gut microbiota is involved in metabolic syndrome (MetS) development, which has a different incidence ...
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Circulating miRNAs as predictive biomarkers of type 2 diabetes mellitus development in coronary heart disease patients fromt he CORDIOPREV study

Jiménez Lucena, Rosa; Rangel Zúñiga, Oriol Alberto; Alcalá Díaz, Juan Francisco; López Moreno, Javier; Roncero Ramos, Irene; Molina Abril, Helena; Yubero Serrano, Elena María; Caballero Villarraso, Javier; Delgado Lista, Javier; Pastor Castaño, Justo; Ordovás Muñoz, José María; Pérez Martínez, Pablo; Camargo García, Antonio; López Miranda, José (American Society of Gene and Cell Therapy, 2018)
Circulating microRNAs (miRNAs) have been proposed as type 2 diabetes biomarkers, and they may be a more sensitive way to ...
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Learning Biomarker Models for Progression Estimation of Alzheimer’s Disease

Schmidt-Richberg, Alexander; Ledig, Christian; Guerrero, Ricardo; Molina Abril, Helena; Frangi, Alejandro F.; Rueckert, Daniel (Public Library of Science, 2016)
Being able to estimate a patient’s progress in the course of Alzheimer’s disease and predicting future progression based ...
Presentation
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Parallel Image Processing Using a Pure Topological Framework

Díaz del Río, Fernando; Molina Abril, Helena; Real Jurado, Pedro; Sánchez-Cuevas, Pablo; Ríos Navarro, José Antonio (Universidad de Extremadura, 2016)
Image processing is a fundamental operation in many real time applications, where lots of parallelism can be extracted. ...
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Connectivity calculus of fractal polyhedrons

Molina Abril, Helena; Real Jurado, Pedro; Nakamura, Akira; Klette, Reinhard (2015)
The paper analyzes the connectivity information (more precisely, numbers of tunnels and their homological (co)cycle ...
Presentation
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Multi-stage Biomarker Models for Progression Estimation in Alzheimer’s Disease

Schmidt-Richberg, Alexander; Guerrero, Ricardo; Ledig, Christian; Molina Abril, Helena; Frangi, Alejandro F.; Rueckert, Daniel (Springer, 2015)
The estimation of disease progression in Alzheimer’s disease (AD) based on a vector of quantitative biomarkers is of high ...
Article
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Searching combinatorial optimality using graph-based homology information

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 ...
Presentation
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Topo-Geometric Filtration Scheme for Geometric Active Contours and Level Sets: Application to Cerebrovascular Segmentation

Molina Abril, Helena; Frangi, Alejandro F. (Springer, 2014)
One of the main problems of the existing methods for the segmentation of cerebral vasculature is the appearance in the ...
PhD Thesis
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Homological Spanning Forests for Discrete Objects

Molina Abril, Helena; Real Jurado, Pedro (2012)
Computing and representing topological information form an important part in many applications such as image representation ...
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Homological spanning forest framework for 2D image analysis

Molina Abril, Helena; Real Jurado, Pedro (2012)
A 2D topology-based digital image processing framework is presented here. This framework consists of the computation of a ...
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Homological optimality in Discrete Morse Theory through chain homotopies

Molina Abril, Helena; Real Jurado, Pedro (2012)
Morse theory is a fundamental tool for analyzing the geometry and topology of smooth manifolds. This tool was translated ...
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Searching high order invariants in computer imagery

Berciano Alcaraz, Ainhoa; Molina Abril, Helena; Real Jurado, Pedro (2012)
In this paper, we present a direct computational application of Homological Perturbation Theory (HPT, for short) to computer ...
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Designing a new software tool for digital imagery based on P systems

Díaz Pernil, Daniel; Gutiérrez Naranjo, Miguel Ángel; Molina Abril, Helena; Real Jurado, Pedro (2012)
In this paper we present a new software tool for dealing with the problem of segmentation in Digital Imagery. The ...
Chapter of Book
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Triangle mesh compression and homological spanning forests

Carnero Iglesias, Javier; Molina Abril, Helena; Real Jurado, Pedro (2012)
Triangle three-dimensional meshes have been widely used to represent 3D objects in several applications. These meshes are ...
Chapter of Book
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A homological–based description of subdivided nD objects

Molina Abril, Helena; Real Jurado, Pedro (2011)
We present here a topo–geometrical description of a subdivided nD object called homological spanning forest representation. ...
Chapter of Book
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A bio-inspired software for segmenting digital images.

Díaz Pernil, Daniel; Molina Abril, Helena; Real Jurado, Pedro; Gutiérrez Naranjo, Miguel Ángel (2010)
Segmentation in computer vision refers to the process of partitioning a digital image into multiple segments (sets of ...
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Image Segmentation Inspired by Cellular Models using hardware programming

Carnero Iglesias, Javier; Díaz Pernil, Daniel; Molina Abril, Helena; Real Jurado, Pedro (Universidad de Sevilla, 2010)
Several features of image segmentation make it suitable for bio–inspired techniques. It can be parallelized, locally solved ...
Presentation
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Representing the Surface of Objects by Combinatorial Pyramids

Antúnez, Esther; Molina Abril, Helena; Kropatsch, Walter G. (Czech Pattern Recognition Society, 2010)
This paper introduces a new method to rep- resent the surface of objects using two dimensional com- binatorial maps. The ...
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Towards optimality in discrete Morse Theory through chain homotopies

Real Jurado, Pedro; Molina Abril, Helena (Universidad de Sevilla, 2010)
Once a discrete Morse function has been defined on a finite cell complex, information about its homology can be deduced ...
Chapter of Book
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Homological computation using spanning trees

Molina Abril, Helena; Real Jurado, Pedro (2009)
We introduce here a new F2 homology computation algorithm based on a generalization of the spanning tree technique on a ...
Chapter of Book
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Cell AT-models for digital volumes

Real Jurado, Pedro; Molina Abril, Helena (2009)
In [4], given a binary 26-adjacency voxel-based digital volume V, the homological information (that related to n-dimensional ...
Chapter of Book
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Decomposing cavities in digital volumes into products of cycles

Berciano Alcaraz, Ainhoa; Molina Abril, Helena; Pacheco Martínez, Ana María; Pilarczyk, Pawel; Real Jurado, Pedro (2009)
The homology of binary 3–dimensional digital images (digital volumes) provides concise algebraic description of their ...
Presentation
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Open Issues and Chances for Topological Pyramids

Kropatsch, Walter G.; Molina Abril, Helena (PRIP, Vienna University of Technology, 2009)
High resolution image data require a huge amount of computational resources. Image pyramids have shown high performance ...
Chapter of Book
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Homological tree-based strategies for image analysis

Real Jurado, Pedro; Molina Abril, Helena; Kropatsch, Walter G. (2009)
Homological characteristics of digital objects can be obtained in a straightforward manner computing an algebraic map φ ...
Chapter of Book
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Advanced homology computation of digital volumes via cell complexes

Molina Abril, Helena; Real Jurado, Pedro (2008)
Given a 3D binary voxel-based digital object V, an algorithm for computing homological information for V via a polyhedral ...
Chapter of Book
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Integral operators for computing homology generators at any dimension

González Díaz, Rocío; Jiménez Rodríguez, María José; Medrano Garfia, Belén; Real Jurado, Pedro; Molina Abril, Helena (2008)
Starting from an nD geometrical object, a cellular subdivision of such an object provides an algebraic counterpart from ...