Nonequispaced grid sampling in photoacoustics with a nonuniform fast Fourier transform

To obtain the initial pressure from the collected data on a planar sensor arrangement in photoacoustic tomography, there exists an exact analytic frequency-domain reconstruction formula. An efficient realization of this formula needs to cope with the evaluation of the data's Fourier transform o...

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Bibliographic Details
Published in:Journal of biomedical optics 2016-01, Vol.21 (1), p.015005-015005
Main Authors: Schmid, Julian, Glatz, Thomas, Zabihian, Behrooz, Liu, Mengyang, Drexler, Wolfgang, Scherzer, Otmar
Format: Article
Language:English
Subjects:
Algorithms
Animals
Chick Embryo
Chickens
Fourier Analysis
Image Processing, Computer-Assisted - methods
Photoacoustic Techniques - methods
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Summary:To obtain the initial pressure from the collected data on a planar sensor arrangement in photoacoustic tomography, there exists an exact analytic frequency-domain reconstruction formula. An efficient realization of this formula needs to cope with the evaluation of the data's Fourier transform on a nonequispaced mesh. We use the nonuniform fast Fourier transform to handle this issue and show its feasibility in three-dimensional experiments with real and synthetic data. This is done in comparison to the standard approach that uses linear, polynomial, or nearest neighbor interpolation. Moreover, we investigate the effect and the utility of flexible sensor location to make optimal use of a limited number of sensor points. The computational realization is accomplished by the use of a multidimensional nonuniform fast Fourier algorithm, where nonuniform data sampling is performed both in frequency and spatial domain. Examples with synthetic and real data show that both approaches improve image quality.
ISSN:1083-3668
1560-2281
DOI:10.1117/1.JBO.21.1.015005