Treffer: Algebraic topological analysis of time-sequence of digital images

Title:
Algebraic topological analysis of time-sequence of digital images
Authors:
González Díaz, Rocío, Medrano Garfia, Belén, Real Jurado, Pedro, Sánchez Peláez, Javier
Contributors:
Universidad de Sevilla. Departamento de Matemática Aplicada I
Publication Year:
2015
Collection:
idUS - Deposito de Investigación Universidad de Sevilla
Subject Terms:
Symbolic and Algebraic Manipulation, Programming Techniques, Discrete Mathematics in Computer Science, Algorithm Analysis and Problem Complexity, Math Applications in Computer Science, Algorithms
Document Type:
Buch book part
Language:
English
Relation:
Computer Algebra in Scientific Computing, Lecture Notes in Computer Science, Vol. 3718, p. 208-219; https://idus.us.es/handle/11441/30781
Availability:
https://idus.us.es/handle/11441/30781
Rights:
Atribución-NoComercial-CompartirIgual 4.0 Internacional ; http://creativecommons.org/licenses/by-nc-sa/4.0/ ; info:eu-repo/semantics/openAccess
Accession Number:
edsbas.8799E2D8
Database:
BASE

Weitere Informationen

This paper introduces an algebraic framework for a topological analysis of time-varying 2D digital binary–valued images, each of them defined as 2D arrays of pixels. Our answer is based on an algebraic-topological coding, called AT–model, for a nD (n=2,3) digital binary-valued image I consisting simply in taking I together with an algebraic object depending on it. Considering AT–models for all the 2D digital images in a time sequence, it is possible to get an AT–model for the 3D digital image consisting in concatenating the successive 2D digital images in the sequence. If the frames are represented in a quadtree format, a similar positive result can be derived.