Homotopy in digital spaces

DOI10.1016/S0166-218X(02)00221-4zbMath1010.68200MaRDI QIDQ1861544

E. Domínguez, A. R. Francés, Rafael Ayala, Antonio Quintero

Publication date: 9 March 2003

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

digital homotopydigital fundamental grouplighting functionsSeifert-VanKampen theorem

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (14)

Strongly normal sets of contractible tiles in \(n\) dimensions ⋮ A Certified Reduction Strategy for Homological Image Processing ⋮ Homotopy equivalence which is suitable for studying Khalimsky \(n\)D spaces ⋮ Topology-preserving conditions for 2D digital images under rigid transformations ⋮ Digital Homotopy with Obstacles1 1This work has been partially supported by the projects DGES PB96-1374 and DGES TIC2000-1368-C03-01. ⋮ Comparison among digital fundamental groups and its applications ⋮ Non-product property of the digital fundamental group ⋮ Multiplicative property of the digital fundamental group ⋮ Digital topology on adaptive octree grids ⋮ Incidence Simplicial Matrices Formalized in Coq/SSReflect ⋮ Algebraic invariants in abstract cellular complex ⋮ Homotopy theory in digital topology ⋮ Digital homotopy with obstacles ⋮ Digital fundamental groups and edge groups of clique complexes

Cites Work

• Weak lighting functions and strong 26-surfaces.
• Continuous analogs of axiomatized digital surfaces
• Surfaces in three-dimensional digital images
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