• Reusing integer homology infor...

Treffer: Reusing integer homology information of binary digital images

Title:
Reusing integer homology information of binary digital images
Authors:
González Díaz, Rocío, Medrano Garfia, Belén, Sánchez Peláez, Javier, Real Jurado, Pedro
Contributors:
Universidad de Sevilla. Departamento de Matemática Aplicada I
Publication Year:
2015
Collection:
idUS - Deposito de Investigación Universidad de Sevilla
Subject Terms:
Image Processing and Computer Vision, Computer Graphics, Discrete Mathematics in Computer Science, Simulation and Modeling, Algorithm Analysis and Problem Complexity
Document Type:
Buch book part
Language:
English
Relation:
Discrete Geometry for Computer Imagery, Lecture Notes in Computer Science, Vol. 4245 p. 199-210; https://idus.us.es/handle/11441/30799
Availability:
https://idus.us.es/handle/11441/30799
Rights:
Atribución-NoComercial-CompartirIgual 4.0 Internacional ; http://creativecommons.org/licenses/by-nc-sa/4.0/ ; info:eu-repo/semantics/openAccess
Accession Number:
edsbas.90595BAB
Database:
BASE

Weitere Informationen

In this paper, algorithms for computing integer (co)homology of a simplicial complex of any dimension are designed, extending the work done in [1,2,3]. For doing this, the homology of the object is encoded in an algebraic-topological format (that we call AM-model). Moreover, in the case of 3D binary digital images, having as input AM-models for the images I and J, we design fast algorithms for computing the integer homology of I ∪J, I ∩J and I ∖J.