Journal of the Optical Society of America A · 2010 · 21 citations · 20 references
EngineeringVolume ParameterizationGeophysical Signal ProcessingEarth ScienceGeophysicsTopography ReconstructionComputational ImagingComputational ElectromagneticsComputational GeophysicsTopography RetrievalGeometric ModelingGeodesyReconstruction TechniqueMedical ImagingGeographyPhase PlateHypercomplex Phase RetrievalInverse ProblemsMedical Image ComputingPhase RetrievalBiomedical ImagingRemote SensingQuantitative Phase ImagingPhase Reconstruction
The topography of a phase plate is recovered from the phase reconstruction by solving the transport intensity equation (TIE). The TIE is solved using two different approaches: (a) the classical solution of solving the Poisson differential equation and (b) an algebraic approach with Zernike functions. In this paper we present and compare the topography reconstruction of a phase plate with these solution methods and justify why one solution is preferable over the other.
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A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
R. W. Hockney · Journal of the ACM · 1965 · 687 citations · Full text