The fractional Fourier transform and quadratic field magnetic resonance imaging

DOI10.1016/j.camwa.2011.03.027zbMath1228.44007OpenAlexW2045977191MaRDI QIDQ651656

Carlos Sing-Long, Pablo Irarrazaval, Cristian Tejos, Carlos Lizama, Vicente Parot

Publication date: 18 December 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/129032

zbMATH Keywords

magnetic resonance imagingfractional Fourier transformperiodic strongly continuous semigroups

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Related Items (4)

Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions ⋮ Parseval relationship of samples in the fractional Fourier transform domain ⋮ Support vector machine for breast MR image classification ⋮ Injectivity of Gabor phase retrieval from lattice measurements

Cites Work

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• Namias' fractional Fourier transforms on \(L^ 2\) and applications to differential equations
• The type 3 nonuniform FFT and its applications
• Generalized entropic uncertainty principle on fractional Fourier transform
• Fractional transformations of generalized functions
• On Namias's Fractional Fourier Transforms
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• One-Parameter Semigroups for Linear Evolution Equations
• Uncertainty Principle for Real Signals in the Linear Canonical Transform Domains
• An uncertainty principle for real signals in the fractional Fourier transform domain

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