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18 January 2016 Nonequispaced grid sampling in photoacoustics with a nonuniform fast Fourier transform
Julian Schmid, Thomas Glatz, Behrooz Zabihian, Mengyang Liu, Wolfgang Drexler, Otmar Scherzer
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Journal of Biomedical Optics, Vol. 21, Issue 1, 015005 (January 2016). https://doi.org/10.1117/1.JBO.21.1.015005
Abstract
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.
CC BY: © The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.
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Julian Schmid, Thomas Glatz, Behrooz Zabihian, Mengyang Liu, Wolfgang Drexler, and Otmar Scherzer "Nonequispaced grid sampling in photoacoustics with a nonuniform fast Fourier transform," Journal of Biomedical Optics 21(1), 015005 (18 January 2016). https://doi.org/10.1117/1.JBO.21.1.015005
Published: 18 January 2016
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Cited by 9 scholarly publications.
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KEYWORDS
Sensors
Fourier transforms
Photoacoustic spectroscopy
Image quality
Reconstruction algorithms
Image sensors
Data acquisition
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