4 March 2013 A simple Fourier transform-based reconstruction formula for photoacoustic computed tomography with a circular or spherical measurement geometry
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Abstract
Photoacoustic computed tomography (PACT), also known as optoacoustic tomography or thermoacoustic tomography, is an emerging biomedical imaging technique that combines optical absorption contrast with ultrasound detection principles. Recently, a novel analytic image reconstruction formula has been proposed that operates on a data function expressed in the temporal frequency and spatial domains. The validity the formula has been demonstrated for a two-dimensional (2D) circular measurement geometry. In this study, computer simulation studies are conducted to validate the reconstruction formula for a three-dimensional (3D) spherical measurement geometry. This formula provides new insights into how the spatial frequency components of the sought-after object function can be explicitly determined by the temporal frequency components of the data function measured with a 2D circular or 3D spherical measurement geometry in PACT. Comparing with existing Fourier transform-based reconstruction formulas, the reconstruction formula possesses a simple structure that requires no computation of series expansions or multi-dimensional interpolation in Fourier space.
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Kun Wang, Mark A. Anastasio, "A simple Fourier transform-based reconstruction formula for photoacoustic computed tomography with a circular or spherical measurement geometry ", Proc. SPIE 8581, Photons Plus Ultrasound: Imaging and Sensing 2013, 85814K (4 March 2013); doi: 10.1117/12.2007340; https://doi.org/10.1117/12.2007340
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