Geometric data manipulation with Clifford algebras and Möbius transforms

DOI10.1007/s00006-015-0608-zzbMath1352.15028OpenAlexW1720299948WikidataQ126241699 ScholiaQ126241699MaRDI QIDQ331636

Armin Iske, Udo Zölzer, Mijail Guillemard

Publication date: 27 October 2016

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-015-0608-z

zbMATH Keywords

numerical examplesClifford algebrassignal processingdimensionality reductiondata classificationMöbius transformsshort term Fourier analysis

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Clifford algebras, spinors (15A66)

Cites Work

• Unnamed Item
• Computing persistent homology
• Finding the homology of submanifolds with high confidence from random samples
• Topology and data
• Möbius transformations in expressed through 2×2 matrices of clifford numbers
• Nonlinear Dimensionality Reduction

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