The signal multi-vector

DOI10.1007/s10851-010-0197-3zbMath1490.94031OpenAlexW2075828801MaRDI QIDQ993577

Gerald Sommer, Lennart Wietzke

Publication date: 20 September 2010

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-010-0197-3

zbMATH Keywords

Radon transformrotational invariancegeometric algebraClifford analysisRiesz transformconformal spaceanalytic signalgeneralized Hilbert transformPoisson scale spacemonogenic signalalgebraic image analysishybrid matrix geometric algebraisotropic local phase based signal processingprojective/homogeneous spacestructure multi-vectorWeyl-projection

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Applications of Clifford algebras to physics, etc. (15A67)

Related Items (7)

Image analysis by conformal embedding ⋮ A sharp Clifford wavelet Heisenberg-type uncertainty principle ⋮ A multi-model stereo similarity function based on monogenic signal analysis in Poisson scale space ⋮ Clifford wavelet transform and the uncertainty principle ⋮ A sinusoidal image model derived from the circular harmonic vector ⋮ Monogenic Curvature Tensor as Image Model ⋮ New type of Gegenbauer-Hermite monogenic polynomials and associated Clifford wavelets

Uses Software

• SIFT

Cites Work

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• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Geometric algebra with applications in engineering
• Rotation invariant texture classification by Ridgelet transform and frequency-orientation space decomposition
• On some properties of the Hilbert transform in Euclidean space
• Clifford analysis: History and perspective
• The monogenic scale-space: a unifying approach to phase-based image processing in scale-space
• Phase-based disparity measurement
• Hypercomplex signals-a novel extension of the analytic signal to the multidimensional case
• The monogenic signal
• Scale Space and PDE Methods in Computer Vision
• Computer Algebra and Geometric Algebra with Applications
• The Solution of the Interference-Problem of 2D Waves by Means of Clifford Structures

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