Accelerated image reconstruction using extrapolated Tikhonov filtering for photoacoustic tomography

Gutta, S and Kalva, SK and Pramanik, M and Yalavarthy, PK (2018) Accelerated image reconstruction using extrapolated Tikhonov filtering for photoacoustic tomography. In: Medical Physics, 45 (8). pp. 3749-3767.

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Abstract

Purpose: Development of simple and computationally efficient extrapolated Tikhonov filtering reconstruction methods for photoacoustic tomography. Methods: The model-based reconstruction algorithms in photoacoustic tomography typically utilize Tikhonov regularization scheme for the reconstruction of initial pressure distribution from the measured boundary acoustic data. The automated choice of regularization parameter in these cases is computationally expensive. Moreover, the Tikhonov scheme promotes the smooth features in the reconstructed image due to the smooth regularizer, thus leading to loss of sharp features. The proposed extrapolation method estimates the solution at zero regularization assuming the solution being a function of regularization parameter and thus posing it as a zero value problem. Thus, the numerically computed zero regularization solution is expected to have better features compared to standard Tikhonov solution, with an added advantage of removing the necessity of automated choice of regularization. The reconstructed results using this method were shown in three variants (Lanczos, traditional, and exponential) of Tikhonov filtering and were compared with the standard error estimate technique. Results: Four numerical (including realistic breast phantom) and two experimental phantom data were utilized to show the effectiveness of the proposed method. It was shown that the proposed method performance was superior than the standard error estimate technique, being at least four times faster in terms of computation, and provides an improvement as high as 2.6 times in terms of standard figures of merit. Conclusion: The developed extrapolated Tikhonov filtering methods overcome the difficulty of obtaining a suitable regularization parameter and shown to be reconstructing high-quality photoacoustic images with additional advantage of being computationally efficient, making it more appealing in real-time applications.

Item Type:	Journal Article
Publication:	Medical Physics
Publisher:	John Wiley and Sons Ltd
Additional Information:	The copyright for this article belongs to the John Wiley and Sons Ltd.
Keywords:	Computational efficiency; Extrapolation; Numerical methods; Parameterization; Phantoms; Photoacoustic effect; Tomography, Computationally efficient; Model based reconstruction; Photo-acoustic imaging; Photoacoustic tomography; regularization; Regularization parameters; Tikhonov; Tikhonov regularization, Image reconstruction, algorithm; Article; blood vessel; clinical evaluation; contrast to noise ratio; contrast-enhanced magnetic resonance imaging; correlation coefficient; error; filtration; image quality; image reconstruction; information processing; lanczos tikhonov regularization method; nuclear magnetic resonance imaging; photoacoustic tomography; signal noise ratio; tikhonov filtering method; universal image quality index
Department/Centre:	Division of Interdisciplinary Sciences > Computational and Data Sciences
Date Deposited:	07 Aug 2022 08:29
Last Modified:	07 Aug 2022 08:29
URI:	https://eprints.iisc.ac.in/id/eprint/75429

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