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Please use this identifier to cite or link to this item: http://hdl.handle.net/10092/7244

Title: Sensitivity to error of the truncated Hilbert transform technique for interior reconstruction
Authors: Opie, A.M.T.
Bones, P.J.
Keywords: computed tomography
incomplete data
sensitivity to error
Issue Date: 2011
Citation: Opie, A.M.T., Bones, P.J. (2011) Sensitivity to error of the truncated Hilbert transform technique for interior reconstruction. Brussels, Belgium: 18th IEEE International Conference on Image Processing (ICIP), 11-14 Sep 2011. Proceedings, 421-424.
Source: http://dx.doi.org/10.1109/ICIP.2011.6116540
Abstract: Historically, computed tomography reconstructions from truncated projection data have been considered non-unique. However, several recent results suggest that if the density of the object is known on some small region within the region of interest (ROI) then a unique and stable reconstruction of the complete ROI may be possible. Unfortunately, prior knowledge of the exact density of an object being scanned is uncommon, and as such an experimentally determined estimate must be used in its place. This estimate will naturally contain errors. We have performed several reconstruction simulations to establish the sensitivity of the proposed algorithm to errors in the prior knowledge. Our results suggest that the most important element of the prior knowledge is its mean value, while perturbations of the details cause fewer problems in the reconstructed images.
Publisher: University of Canterbury. Electrical and Computer Engineering
Research Fields: Field of Research::09 - Engineering::0903 - Biomedical Engineering
URI: http://hdl.handle.net/10092/7244
Rights: “© 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.”
Rights URI: http://library.canterbury.ac.nz/ir/rights.shtml
Appears in Collections:Engineering: Conference Contributions

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