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PDE-Based Non-rigid Registration of Breast Surfaces

Recent advances in breast cancer imaging have generated new ways to characterize the disease, and many of these novel analysis techniques require the registration of breast surfaces during a non-rigid deformation. In this paper, a semi-automated method to register breast surfaces before and after a non-rigid deformation is presented. This method involves solving the Laplace or diffusion equations over the undeformed and deformed breast surfaces, yielding potential fields and isocontours that are used to establish surface correspondence. The proposed partial differential equation (PDE)-based registration method is compared to a thin-plate spline (TPS) interpolation of surface displacements tracked by fiducial markers. These registration methods are tested on a realistic finite element simulation of a breast compression, a breast phantom, and on a clinical data set. The results indicate that the TPS registration technique is the most accurate; however, if fiducial information is not available, the PDE-based registration methods may be viable alternatives. The PDE-based and TPS registration methods have the potential to be used by analyses requiring the non-rigid registration of breast surfaces before and after compression, and both have been used in Modality-Independent Elastography (MIE) to determine the boundary conditions needed for elasticity imaging.

Identiferoai:union.ndltd.org:VANDERBILT/oai:VANDERBILTETD:etd-12062007-150744
Date19 December 2007
CreatorsOng, Rowena E
ContributorsRobert L. Galloway, Michael I. Miga
PublisherVANDERBILT
Source SetsVanderbilt University Theses
LanguageEnglish
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.library.vanderbilt.edu/available/etd-12062007-150744/
Rightsunrestricted, I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Vanderbilt University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.

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