Special Issue "Computational Algebraic Topology and Neural Networks in Computer Vision"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematics and Computer Science".

Deadline for manuscript submissions: 30 June 2020.

Special Issue Editors

Prof. Rocio Gonzalez Diaz
E-Mail Website
Guest Editor
Departmento de Matemática Aplicada I, Escuelta Técnica Superior de Ingeniería Informática, Universidad de Sevilla Campus, Reina Mercedes, 41012 Sevilla, Spain
Interests: computational algebraic topology, topological data analysis; computer vision; discrete geometry; combinatorial image analysis; neural networks
Dr. Matthias Zeppelzauer
E-Mail Website
Co-Guest Editor
Institute of Creative Media Technologies, University of Applied Sciences, St. Pölten, Matthias Corvinus-Strasse 15, 3100 St.Pölten, Austria
Interests: computer vision; pattern mining; topological data analysis; representation learning; active learning

Special Issue Information

Dear Colleagues,

Algebraic topology uses tools from abstract algebra to study topological spaces with the aim of defining algebraic invariants that classify topological spaces up to homeomorphism. Computational algebraic topology (CAT) provides methods to compute these invariants. The main topics in (Computational) Algebraic topology are simplicial and CW complexes, chain complexes, (co)homology and exact sequences. The recent field of Topological Data Analysis (TDA) is an approach to the analysis of datasets using techniques mainly from computational algebraic topology, being its leading tool persistent homology. In recent years, the development of methods based on neural networks is ubiquitous in computer vision. Recent research has shown that the integration of TDA into computer vision can improve performance. The integration of TDA into state-of-the-art computer vision approaches building heavily on deep neural networks is however still a challenging topic.
This Special Issue collects papers with the aim to develop novel topology-based approaches for computer vision and/or to apply topology-based approaches to improve the current state-of-the-art in computer vision. Of special interest are papers that deal with the challenge of integrating topology as the main tool into neural networks for computer vision applications.

Prof. Rocio Gonzalez Diaz
Prof. Matthias Zeppelzauer
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Computational Algebraic Topology
  • Topological Data Analysis
  • Computer Vision
  • Neural Networks

Published Papers

This special issue is now open for submission.
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