Functional representation and manipulation of shapes with applications in surface and solid modeling

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dc.contributor.advisorWarren, Joeen_US
dc.contributor.committeeMemberGoldman, Ronen_US
dc.contributor.committeeMemberO'Malley, Marcia K.en_US
dc.creatorFeng, Poweien_US
dc.date.accessioned2013-09-16T15:07:15Zen_US
dc.date.accessioned2013-09-16T15:07:33Zen_US
dc.date.available2013-09-16T15:07:15Zen_US
dc.date.available2013-09-16T15:07:33Zen_US
dc.date.created2013-05en_US
dc.date.issued2013-09-16en_US
dc.date.submittedMay 2013en_US
dc.date.updated2013-09-16T15:07:34Zen_US
dc.description.abstractReal-valued functions have wide applications in various areas within computer graphics. In this work, we examine three representation of shapes using functions. In particular, we study the classical B-spline representation of piece-wise polynomials in the univariate domain. We provide a generalization of B-spline to the bivariate domain using intuition gained from the univariate construction. We also study the popular scheme of representing 3D density distribution using a uniform, rectilinear grid, where we provide a novel contouring scheme that culls occluded inner geometries. Lastly, we examine a ray-based representation for 3D indicator functions called ray-rep, for which we present a novel meshing scheme with multi-material extensions.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationFeng, Powei. "Functional representation and manipulation of shapes with applications in surface and solid modeling." (2013) Diss., Rice University. <a href="https://hdl.handle.net/1911/71952">https://hdl.handle.net/1911/71952</a>.en_US
dc.identifier.slug123456789/ETD-2013-05-448en_US
dc.identifier.urihttps://hdl.handle.net/1911/71952en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectGeometric modelingen_US
dc.subjectB-splineen_US
dc.subjectGraphicsen_US
dc.subjectComputer graphicsen_US
dc.titleFunctional representation and manipulation of shapes with applications in surface and solid modelingen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentComputer Scienceen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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