On Model-based Diffeomorphic Shape Evolution and Diffeomorphic Shape Registration

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dc.contributor.advisorMiller, Michael
dc.contributor.committeeMemberCharon, Nicolas
dc.contributor.committeeMemberSantosa, Fadil
dc.contributor.committeeMemberYounes, Laurent
dc.creatorHsieh, Dai-Ni
dc.creator.orcid0000-0002-1365-4877
dc.date.accessioned2021-09-16T18:55:57Z
dc.date.available2021-09-16T18:55:57Z
dc.date.created2021-08
dc.date.issued2021-07-09
dc.date.submittedAugust 2021
dc.date.updated2021-09-16T18:55:57Z
dc.description.abstractShape registration is fundamental in many applications. However, the shape registration problem is usually ill posed unless further information is provided. In this dissertation, we examine a scenario when one of the two shapes to be registered is assumed to have evolved from the other shape according to a known model. The shape registration problem is then formulated as a variational problem subject to the dynamics of the shape evolution model. We provide sufficient conditions on models so that diffeomorphic shape evolution and diffeomorphic shape registration are guaranteed theoretically. In addition, we illustrate this model-based registration by applications of piecewise-rigid motion and biological atrophy. Numerical experiments of the two applications are presented with a GPU-accelerated implementation.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://jhir.library.jhu.edu/handle/1774.2/64376
dc.language.isoen_US
dc.publisherJohns Hopkins University
dc.publisher.countryUSA
dc.subjectshape evolution
dc.subjectshape registration
dc.subjectpiecewise-rigid motion
dc.subjectelastic deformation
dc.subjectreaction-diffusion equation
dc.subjectinverse problem
dc.titleOn Model-based Diffeomorphic Shape Evolution and Diffeomorphic Shape Registration
dc.typeThesis
dc.type.materialtext
thesis.degree.departmentApplied Mathematics and Statistics
thesis.degree.disciplineApplied Mathematics & Statistics
thesis.degree.grantorJohns Hopkins University
thesis.degree.grantorWhiting School of Engineering
thesis.degree.levelDoctoral
thesis.degree.namePh.D.
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