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Computationally Efficient Forward Operator for Photoacoustic Tomography Based on Coordinate Transformations

Sahlstrom, T; Pulkkinen, A; Leskinen, J; Tarvainen, T; (2021) Computationally Efficient Forward Operator for Photoacoustic Tomography Based on Coordinate Transformations. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 10.1109/TUFFC.2021.3060175. (In press). Green open access

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Abstract

IEEE Photoacoustic tomography (PAT) is an imaging modality that utilizes the photoacoustic effect. In PAT, a photoacoustic image is computed from measured data by modeling ultrasound propagation in the imaged domain and solving an inverse problem utilizing a discrete forward operator. However, in realistic measurement geometries with several ultrasound transducers and relatively large imaging volume, an explicit formation and use of the forward operator can be computationally prohibitively expensive. In this work, we propose a transformation based approach for efficient modeling of photoacoustic signals and reconstruction of photoacoustic images. In the approach, the forward operator is constructed for a reference ultrasound transducer and expanded into a general measurement geometry using transformations that map the formulated forward operator in local coordinates to the global coordinates of the measurement geometry. The inverse problem is solved using a Bayesian framework. The approach is evaluated with numerical simulations and experimental data. The results show that the proposed approach produces accurate three-dimensional photoacoustic images with a significantly reduced computational cost both in memory requirements and in time. In the studied cases, depending on the computational factors such as discretization, over 30-fold reduction in memory consumption and was achieved without a reduction in image quality compared to a conventional approach.

Type: Article
Title: Computationally Efficient Forward Operator for Photoacoustic Tomography Based on Coordinate Transformations
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/TUFFC.2021.3060175
Publisher version: https://doi.org/https://doi.org/10.1109/TUFFC.2021...
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Transducers , Ultrasonic imaging , Inverse problems , Ultrasonic variables measurement , Computational modeling , Geometry , Memory management
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10124560
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