A Reconstruction Algorithm for Photoacoustic Imaging based on the Nonuniform FFT

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Authors
Haltmeier, M.
Scherzer, O.
Zangerl, G.
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Abstract
Description
Fourier reconstruction algorithms significantly outperform conventional back-projection algorithms in terms of computation time. In photoacoustic imaging, these methods require interpolation in the Fourier space domain, which creates artifacts in reconstructed images. We propose a novel reconstruction algorithm that applies the one-dimensional nonuniform fast Fourier transform to photoacoustic imaging. It is shown theoretically and numerically that our algorithm avoids artifacts while preserving the computational effectiveness of Fourier reconstruction.
Comment: 22 pages, 8 figures
Keywords
Mathematics - Numerical Analysis, 35L05, 65R32, 65T50, 92C55.
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