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A new symmetrized solution for phase retrieval using the transport of intensity equation

✍ Scribed by V.V. Volkov; Y. Zhu; M. De Graef

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
227 KB
Volume
33
Category
Article
ISSN
0968-4328

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✦ Synopsis

We propose a novel symmetrization method for solving the transport of intensity equation (TIE) using fast Fourier transforms for situations where the input images may or may not exhibit spatial periodicity. The method is derived from the analysis of intensity conservation law and the internal symmetry of the TIE, and is illustrated for both a computational and an experimental data set.

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In this manuscript the one dimensional fractional transport equation in which the prescribed source and angular flux are spatially quadratic is investigated within the generalized quadratic form method. It is reported that the angular flux satisfies Fick's law and the corresponding scalar flux satis