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An Efficient Interpolation Approach for Exploring the Parameter Space of Regularized Tomography Algorithms

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Choosing a regularization parameter for tomographic reconstruction algorithms is often a cumbersome task of trial-and-error. Although several automatic and objective criteria have been proposed, each of them yields a different “optimal” value, which may or may not correspond to the actual implicit image quality metrics one would like to optimize for. Exploration of the space of regularization parameters is computationally expensive, as it requires many reconstructions to be computed. In this paper we propose an algorithmic approach for computationally efficient exploration of the regularization parameter space, based on a pixel-wise interpolation scheme. Once a relatively small number of reconstructions have been computed for a sparse sampling of the parameters, an approximation of the reconstructed image for other parameter values can be computed instantly, thereby allowing both manual and automated selection of the most preferable parameters based on a variety of image quality metrics. We demonstrate that for three common variational reconstruction methods, our approach results in accurate approximations of the reconstructed image and that it can be used in combination with existing approaches for choosing optimal regularization parameters.
Wydawca
Rocznik
Strony
143--167
Opis fizyczny
Bibliogr. 29 poz., rys., tab., wykr.
Twórcy
  • Computational Imaging group, Centrum voor Wiskunde en Informatica (CWI), Science Park 123, 1098 XG, Amsterdam, Netherlands
  • Computational Imaging group, Centrum voor Wiskunde en Informatica (CWI), Science Park 123, 1098 XG, Amsterdam, Netherlands
  • Computational Imaging group, Centrum voor Wiskunde en Informatica (CWI), Science Park 123, 1098 XG, Amsterdam, Netherlands
  • Computational Imaging group, Centrum voor Wiskunde en Informatica (CWI), Science Park 123, 1098 XG, Amsterdam, Netherlands
Bibliografia
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  • [7] Gockenbach M. Linear Inverse Problems and Tikhonov Regularization. 32. The Mathematical Association of America, 2016. ISBN-978-0-88385-141-8.
  • [8] Sidky EY, Jørgensen JH, Pan X. Convex optimization problem prototyping for image reconstruction in computed tomography with the Chambolle-Pock algorithm. Physics in Medicine & Biology, 2012. 57(10):3065. doi:10.1088/0031-9155/57/10/3065.
  • [9] Sedlmair M, Heinzl C, Bruckner S, Piringer H, Möller T. Visual parameter space analysis: A conceptual framework. IEEE Transactions on Visualization and Computer Graphics, 2014. 20(12):2161-2170. doi:10.1109/TVCG.2014.2346321.
  • [10] Pretorius AJ, Bray MA, Carpenter AE, Ruddle RA. Visualization of parameter space for image analysis. IEEE Transactions on Visualization and Computer Graphics, 2011. 17(12):2402-2411. doi:10.1109/TVCG.2011.253.
  • [11] Scherzer O, Grasmair M, Grossauer H, Haltmeier M, Lenzen F. Variational methods in imaging. Springer, 2009. doi:10.1007/978-0-387-69277-7.
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  • [15] Bringmann B, Cremers D, Krahmer F, Moeller M. The homotopy method revisited: Computing solution paths of l1-regularized problems. Mathematics of Computation, 2018. 87(313):2343-2364. doi:10.1090/mcom/3287.
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  • [26] Lagerwerf MJ. Pixel-wise interpolation for regularization parameter space exploration. https://github.com/MJLagerwerf/reg_param. [Accessed: 21-Dec-2018].
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Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-92fab0c6-0a6f-4bde-8bb3-b7e780bc0fde
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