Phase contrast tomography using holographic measurements

DOI10.1088/0266-5611/20/1/005zbMath1047.65096OpenAlexW2033713991MaRDI QIDQ4469950

Alfred K. Louis, Peter Jonas

Publication date: 22 June 2004

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f805d2494191a719ce959ad5aff5263bea1eb6b8

zbMATH Keywords

wave equationinverse problemerror estimatesnumerical examplesHelmholtz equationapproximate inversereconstruction algorithmsfast backprojectionholographic methodPhase contrast tomography

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Cryogenic electron tomography reconstructions from phaseless data ⋮ Multipoint formulas for phase recovering from phaseless scattering data ⋮ On relaxed averaged alternating reflections (RAAR) algorithm for phase retrieval with structured illumination ⋮ Stability Estimates for Linearized Near-Field Phase Retrieval in X-ray Phase Contrast Imaging ⋮ Algorithm for phase contrast x-ray tomography based on nonlinear phase retrieval ⋮ Locality estimates for Fresnel-wave-propagation and stability of x-ray phase contrast imaging with finite detectors ⋮ Mathematics of Electron Tomography ⋮ Sonic Imaging ⋮ Multidimensional inverse scattering for the Schrödinger equation ⋮ Fixed-distance multipoint formulas for the scattering amplitude from phaseless measurements

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