Signal Processing on Textured Meshes

dc.contributor.advisorKazhdan, Michael
dc.contributor.committeeMemberHoppe, Hugues
dc.contributor.committeeMemberYounes, Laurent
dc.creatorPrada Nino, Fabian Andres
dc.date.accessioned2019-03-07T03:12:05Z
dc.date.available2019-03-07T03:12:05Z
dc.date.created2018-12
dc.date.issued2018-10-22
dc.date.submittedDecember 2018
dc.date.updated2019-03-07T03:12:05Z
dc.description.abstractIn this thesis we extend signal processing techniques originally formulated in the context of image processing to techniques that can be applied to signals on arbitrary triangles meshes. We develop methods for the two most common representations of signals on triangle meshes: signals sampled at the vertices of a finely tessellated mesh, and signals mapped to a coarsely tessellated mesh through texture maps. Our first contribution is the combination of Lagrangian Integration and the Finite Elements Method in the formulation of two signal processing tasks: Shock Filters for texture and geometry sharpening, and Optical Flow for texture registration. Our second contribution is the formulation of Gradient-Domain processing within the texture atlas. We define a function space that handles chart discontinuities, and linear operators that capture the metric distortion introduced by the parameterization. Our third contribution is the construction of a spatiotemporal atlas parameterization for evolving meshes. Our method introduces localized remeshing operations and a compact parameterization that improves geometry and texture video compression. We show temporally coherent signal processing using partial correspondences.
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://jhir.library.jhu.edu/handle/1774.2/60110
dc.language.isoen_US
dc.publisherJohns Hopkins University
dc.publisher.countryUSA
dc.subjectSignal Processing, Geometry Processing, Shock Filters, Optical Flow, Gradient-Domain Processing, Texture Atlas.
dc.titleSignal Processing on Textured Meshes
dc.typeThesis
dc.type.materialtext
thesis.degree.departmentComputer Science
thesis.degree.disciplineComputer Science
thesis.degree.grantorJohns Hopkins University
thesis.degree.grantorWhiting School of Engineering
thesis.degree.levelDoctoral
thesis.degree.namePh.D.
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