Paper Info
Title
Acoustical diffraction tomography in a finite form based on the Rytov transform.
Abstract
A new reconstruction algorithm in a finite form based on the Rytov transform is presented for acoustical diffraction tomography. Applying the Rytov transform to the governing differential wave equation necessarily introduces the so-called generalized scattering. Our analysis shows that the generalized scattered wave is asymptotically equivalent to the physically scattered wave, and also satisfies the Sommerfeld radiation condition in the far field. Using the method of formal parameter expansion, we further find that all other terms in the expansion of the object function vanish except the first- and second-order ones, and thus reach a finite form solution to the diffraction tomography. Our computer simulation confirms the effectiveness of the algorithm in the case of the scattering objects with cylindrical symmetry, also shows its limitations when it applies to the strong scattering.
Year
DOI
Venue
2006
10.1109/TIP.2005.864182
IEEE Transactions on Image Processing
Keywords
Field
DocType
finite form,diffraction tomography,acoustical diffraction tomography,scattering object,differential wave equation,finite form solution,so-called generalized scattering,strong scattering,scattered wave,generalized scattered wave,wave equation,tomography,refractometry,second order,differential equations,geometry,image reconstruction,algorithms,biomedical imaging,computer simulation,light,objective function,acoustics,satisfiability,partial differential equations,fourier transforms
Mathematical analysis,Fourier transform,Reconstruction algorithm,Artificial intelligence,Geometry,Diffraction,Computer vision,Differential equation,Diffraction tomography,Wave equation,Sommerfeld radiation condition,Partial differential equation,Mathematics
Journal
Volume
Issue
ISSN
15
5
1057-7149
Citations 
PageRank 
References 
0
0.34
6
Authors
3
Name
Order
Citations
PageRank
Zhiyong Tao1192.44
Zhen-Qiu Lu200.34
Xin-long Wang31036.32