title: A reconstruction algorithm for photoacoustic imaging based on the nonuniform FFT.
abstract: Fourier reconstruction algorithms significantly outperform conventional backprojection 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.
authors.affiliation: Department of Mathematics, University Innsbruck, 6020 Innsbruck, Austria. markus.haltmeier@uibk.ac.at
authors.forename: Markus
authors.initials: M
authors.lastname: Haltmeier
authors.forename: Otmar
authors.initials: O
authors.lastname: Scherzer
authors.forename: Gerhard
authors.initials: G
authors.lastname: Zangerl
mesh_terms: D000162:Acoustics; D000465:Algorithms; D016477:Artifacts; D003952:Diagnostic Imaging / Q000379:methods*; D005583:Fourier Analysis; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D055095:Optics and Photonics / Q000379:methods*; D019047:Phantoms, Imaging