Filtered backprojection for thermoacoustic computed tomography in spherical geometry

Thermoacoustic computed tomography (TCT) is a novel imaging technique for non‐destructive evaluation and medical imaging. It uses electromagnetic energy as input and the induced thermoacoustic pressure field as measurement output. The determination of the unknown energy deposition function is based...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical methods in the applied sciences 2005-11, Vol.28 (16), p.1919-1937
Main Authors: Haltmeier, M., Schuster, T., Scherzer, O.
Format: Article
Language:English
Subjects:
Applied sciences
approximate inverse
backprojection
Exact sciences and technology
Mathematical programming
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
mollifier
Numerical analysis. Scientific computation
Operational research and scientific management
Operational research. Management science
reconstruction kernel
Sciences and techniques of general use
thermoacoustics
tomography
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Thermoacoustic computed tomography (TCT) is a novel imaging technique for non‐destructive evaluation and medical imaging. It uses electromagnetic energy as input and the induced thermoacoustic pressure field as measurement output. The determination of the unknown energy deposition function is based on the integral geometric problem of reconstructing a function from its integrals over certain spheres. We apply the method of approximate inverse to derive filtered backprojection type reconstruction algorithms in spherical scanning geometry. Numerical results are presented and show the validity of the resulting algorithms. Copyright © 2005 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.648