Searching high order invariants in computer imagery

DOI10.1007/s00200-012-0169-5zbMath1247.68305OpenAlexW2119031418WikidataQ59388611 ScholiaQ59388611MaRDI QIDQ714657

Pedro Real, Helena Molina-Abril, Ainhoa Berciano

Publication date: 11 October 2012

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/32930

zbMATH Keywords

topological invariantdigital imagehomological perturbation theory\(A _{\infty }\)-coalgebra

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Software, source code, etc. for problems pertaining to algebraic topology (55-04) Computing methodologies for image processing (68U10) Homotopy equivalences in algebraic topology (55P10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Software, source code, etc. for problems pertaining to computer science (68-04)

Related Items (5)

Allowing cycles in discrete Morse theory ⋮ Algorithms in \(A_\infty\)-algebras ⋮ Computation of cubical homology, cohomology, and (co)homological operations via chain contraction ⋮ Membrane parallelism for discrete Morse theory applied to digital images ⋮ \(A_\infty\)-persistence

Uses Software

• Kenzo
• PLEX
• CHomP

Cites Work

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• Perturbation theory in differential homological algebra. II
• Perturbation theory in differential homological algebra. I
• Simplicial Perturbation Techniques and Effective Homology
• A case study of 𝐴_∞-structure
• A computational approach ofA_∞-(co)algebras
• ON THE HOMOLOGY THEORY OF FIBRE SPACES
• Rectifications of A_∞-Algebras
• Homology
• Combinatorial algebraic topology

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