title: A simple Fourier transform-based reconstruction formula for photoacoustic computed tomography with a circular or spherical measurement geometry.
abstract: Photoacoustic computed tomography (PACT), also known as optoacoustic tomography, is an emerging imaging modality that has great potential for a wide range of biomedical imaging applications. In this note, we derive a hybrid reconstruction formula that is mathematically exact and operates on a data function that is expressed in the temporal frequency and spatial domains. This formula explicitly reveals new insights into how the spatial frequency components of the sought-after object function are determined by the temporal frequency components of the data function measured with a circular or spherical measurement geometry in two- and three-dimensional implementations of PACT, respectively. The structure of the reconstruction formula is surprisingly simple compared with existing Fourier-domain reconstruction formulae. It also yields a straightforward numerical implementation that is robust and two orders of magnitude more computationally efficient than filtered backprojection algorithms.
authors.affiliation: Department of Biomedical Engineering, Washington University in St. Louis, St. Louis, MO 63130, USA.
authors.forename: Kun
authors.initials: K
authors.lastname: Wang
authors.forename: Mark A
authors.initials: MA
authors.lastname: Anastasio
mesh_terms: D007091:Image Processing, Computer-Assisted / Q000379:methods*; D019047:Phantoms, Imaging; D061088:Photoacoustic Techniques / Q000379:methods*; D017550:Spectroscopy, Fourier Transform Infrared; D014057:Tomography, X-Ray Computed / Q000379:methods*