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dc.contributor.authorHaidar, H.
dc.contributor.authorBouix, Sylvain
dc.contributor.authorLevitt, James Jonathan
dc.contributor.authorMcCarley, Robert William
dc.contributor.authorShenton, Martha Elizabeth
dc.contributor.authorSoul, Janet
dc.date.accessioned2016-09-15T20:56:48Z
dc.date.issued2004
dc.identifier.citationHaidar, Haissam, Sylvain Bouix, James Levitt, Robert W. McCarley, Martha E. Shenton, and Janet S. Soul. 2004. An Elliptic PDE Approach for Shape Characterization. Conf Proc IEEE Eng Med Biol Soc. 2: 1521–1524.en_US
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:28520548
dc.description.abstractThis paper presents a novel approach to analyze the shape of anatomical structures. Our methodology is rooted in classical physics and in particular Poisson's equation, a fundamental partial differential equation [1]. The solution to this equation and more specifically its equipotential surfaces display properties that are useful for shape analysis. We present a numerical algorithm to calculate the length of streamlines formed by the gradient field of the solution to this equation for 2D and 3D objects. The length of the streamlines along the equipotential surfaces was used to build a new function which can characterize the shape of objects. We illustrate our method on 2D synthetic and natural shapes as well as 3D medical data.en_US
dc.language.isoen_USen_US
dc.publisherIEEEen_US
dc.relation.isversionofdoi:10.1109/IEMBS.2004.1403466en_US
dc.relation.hasversionhttp://www.ncbi.nlm.nih.gov/pmc/articles/PMC2791903/en_US
dash.licenseLAA
dc.subjectshape analysisen_US
dc.subjectpartial differential equationen_US
dc.titleAn elliptic PDE approach for shape characterizationen_US
dc.typeConference Paperen_US
dc.description.versionAccepted Manuscripten_US
dc.relation.journalThe 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Societyen_US
dash.depositing.authorShenton, Martha Elizabeth
dc.date.available2016-09-15T20:56:48Z
dc.identifier.doi10.1109/IEMBS.2004.1403466*
dash.identifier.orcid0000-0003-4235-7879en_US
dash.contributor.affiliatedSoul, Janet
dash.contributor.affiliatedLevitt, James
dash.contributor.affiliatedMcCarley, Robert William
dash.contributor.affiliatedBouix, Sylvain
dash.contributor.affiliatedShenton, Martha
dc.identifier.orcid0000-0001-5705-7495


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