| Dynamic medical imaging as a partial inverse problem. | |
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MedLine Citation:
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PMID: 17271853 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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Dynamic medical imaging problems are typically structured as "partial" inverse problems: the desired time series of images (a spatiotemporal matrix) is subject to a purely spatial transformation (its product with a transfer matrix) - so that the forward operator does not address all of the variables of the function to be transformed (analogous to partial differentiation, which is also a partial inverse problem). Given that the transfer matrix is ill-conditioned, the problem of providing the image sequence requires regularization. Under rather general conditions applicable to the setting of partial inverse problems, the regularization parameter of Tikhonov regularization generalizes to a regularization parameter operator, which in proper combination with a standard (spatial) Tikhonov regularizing operator describes the minimum-mean-square-error estimate analogously to that of the Bayesian interpretation of Tikhonov regularization as applied to a "complete" inverse problem. This is in distinction to usual methodology employed for dynamic imaging problems, including usual applications of Tikhonov regularization in this realm, which cannot similarly supply the minimum-mean-square-estimate (under the stated general conditions). The potential power of the implied methodology is illustrated with a numerical example - indicating that substantial improvements in solution estimation are possible. |
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Authors:
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Fred Greensite |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: Conference proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Conference Volume: 2 ISSN: 1557-170X ISO Abbreviation: Conf Proc IEEE Eng Med Biol Soc Publication Date: 2004 |
Date Detail:
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Created Date: 2007-02-02 Completed Date: 2007-05-14 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101243413 Medline TA: Conf Proc IEEE Eng Med Biol Soc Country: United States |
Other Details:
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Languages: eng Pagination: 1014-7 Citation Subset: - |
Affiliation:
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Dept. of Radiol. Sci., California Univ., Irvine, CA, USA. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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