Higher-order (nonlinear) diffraction tomography: reconstruction algorithms and computer simulation

Author

Tsihrintzis, George A. ; Devaney, Anthony J.

Author_Institution

Dept. of Inf., Piraeus Univ., Greece

Volume

9

Issue

9

fYear

2000

fDate

9/1/2000 12:00:00 AM

Firstpage

1560

Lastpage

1572

Abstract

The usual propagation transform of diffraction tomography is generalized into higher-order (nonlinear) propagation transforms via use of the Born series as the data-generating model in scattering experiments. Nonlinear tomographic reconstruction algorithms are developed for inversion of scattered field data modeled up to an arbitrarily large (possibly infinite) number of terms in the Born series. A computer simulation study is included to illustrate the performance of the algorithms for the case of scattering objects with cylindrical symmetry

Keywords

computerised tomography; electromagnetic fields; electromagnetic wave diffraction; electromagnetic wave scattering; image reconstruction; inverse problems; reviews; series (mathematics); transforms; Born series; algorithms performance; computer simulation; cylindrical symmetry; data-generating model; higher-order diffraction tomography; nonlinear diffraction tomography; nonlinear propagation transforms; nonlinear tomographic reconstruction algorithms; scattered field data inversion; scattering experiments; scattering objects; Acoustic scattering; Computer simulation; Electromagnetic scattering; Image reconstruction; Inverse problems; Optical scattering; Reconstruction algorithms; Tomography; X-ray diffraction; X-ray scattering;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/83.862637

Filename

862637