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Journal of Biomedical Optics • Open Access

Nonequispaced grid sampling in photoacoustics with a nonuniform fast Fourier transform
Author(s): Julian Schmid; Thomas Glatz; Behrooz Zabihian; Mengyang Liu; Wolfgang Drexler; Otmar Scherzer

Paper 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.

Paper Details

Date Published: 18 January 2016
PDF: 15 pages
J. Biomed. Opt. 21(1) 015005 doi: 10.1117/1.JBO.21.1.015005
Published in: Journal of Biomedical Optics Volume 21, Issue 1
Show Author Affiliations
Julian Schmid, Univ. Wien (Austria)
Medizinische Univ. Wien (Austria)
Thomas Glatz, Univ. Wien (Austria)
Behrooz Zabihian, Medizinische Univ. Wien (Austria)
Mengyang Liu, Medizinische Univ. Wien (Austria)
Wolfgang Drexler, Medizinische Univ. Wien (Austria)
Otmar Scherzer, Univ. Wien (Austria)
Johann Radon Institute for Computational and Applied Mathematics (Austria)

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