NDLI: Bayesian approximation error approach in full-wave ultrasound tomography

Content Provider	IEEE Xplore Digital Library
Author	Koponen, J. Huttunen, T. Tarvainen, T. Kaipio, J.P.
Copyright Year	1986
Abstract	In ultrasound tomography, the spatial distribution of the speed of sound in a region of interest is reconstructed based on transient measurements made around the object. The computation of the forward problem (the full-wave solution) within the object is a computationally intensive task and can often be prohibitive for practical purposes. The purpose of this paper is to investigate the feasibility of using approximate forward solvers and the partial recovery from the related errors by employing the Bayesian approximation error approach. In addition to discretization error, we also investigate whether the approach can be used to reduce the reconstruction errors that are due to the adoption of approximate absorbing boundary models. We carry out two numerical studies in which the objective is to reduce the computational times to around 3% of the time that would be required by a numerically accurate forward solver. The results show that the Bayesian approximation error approach improves the reconstructions.
Starting Page	1627
Ending Page	1637
Page Count	11
File Size	2770429
File Format	PDF
ISSN	08853010
Volume Number	61
Issue Number	10
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Computational modeling Numerical models Approximation error Bayes methods Inverse problems Mathematical model
Content Type	Text
Resource Type	Article
Subject	Acoustics and Ultrasonics Instrumentation Electrical and Electronic Engineering

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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