45 citations · 72 across the 11 of their papers we have counts for
11 papers
Neuron detection in stack images: a persistent homology interpretation
Jónathan Heras, Gadea Mata, Germán Cuesto +2
Automation and reliability are the two main requirements when computers are applied in Life Sciences. In this paper we report on an application to neuron recognition, an important…
Effective persistent homology of digital images
Ana Romero, Julio Rubio, Francis Sergeraert
In this paper, three Computational Topology methods (namely effective homology, persistent homology and discrete vector fields) are mixed together to produce algorithms for homolog…
Defining and computing persistent Z-homology in the general case
Ana Romero, Jónathan Heras, Julio Rubio +1
By general case we mean methods able to process simplicial sets and chain complexes not of finite type. A filtration of the object to be studied is the heart of both subjects persi…
A certified reduction strategy for homological image processing
María Poza, César Domínguez, Jónathan Heras +1
The analysis of digital images using homological procedures is an outstanding topic in the area of Computational Algebraic Topology. In this paper, we describe a certified reductio…
Verifying a platform for digital imaging: a multi-tool strategy
Jónathan Heras, Gadea Mata, Ana Romero +2
Fiji is a Java platform widely used by biologists and other experimental scientists to process digital images. In particular, in our research - made together with a biologists team…
Constructive Homological Algebra and Applications
Julio Rubio, Francis Sergeraert
This text was written and used for a MAP Summer School at the University of Genova, August 28 to September 2, 2006. Available since then on the web site of the second author, it ha…