Implicit representation of inscribed volumes

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dc.contributor.authorSahbaei, Parto
dc.contributor.supervisorMould, David
dc.contributor.supervisorWyvill, Brian
dc.date.accessioned2017-05-01T15:24:08Z
dc.date.available2017-05-01T15:24:08Z
dc.date.copyright2017en_US
dc.date.issued2017-05-01
dc.degree.departmentDepartment of Computer Science
dc.degree.levelMaster of Science M.Sc.en_US
dc.description.abstractWe present an implicit approach for constructing smooth isolated or interconnected 3-D inscribed volumes which can be employed for volumetric modeling of various kinds of spongy or porous structures, such as volcanic rocks, pumice stones, Cancellus bones *, liquid or dry foam, radiolarians, cheese, and other similar materials. The inscribed volumes can be represented in their normal or positive forms to model natural pebbles or pearls, or in their inverted or negative forms to be used in porous structures, but regardless of their types, their smoothness and sizes are controlled by the user without losing the consistency of the shapes. We introduce two techniques for blending and creating interconnections between these inscribed volumes to achieve a great flexibility to adapt our approach to different types of porous structures, whether they are regular or irregular. We begin with a set of convex polytopes such as 3-D Voronoi diagram cells and compute inscribed volumes bounded by the cells. The cells can be irregular in shape, scale, and topology, and this irregularity transfers to the inscribed volumes, producing natural-looking spongy structures. Describing the inscribed volumes with implicit functions gives us a freedom to exploit volumetric surface combinations and deformations operations effortlesslyen_US
dc.description.scholarlevelGraduateen_US
dc.identifier.urihttp://hdl.handle.net/1828/8036
dc.languageEnglisheng
dc.language.isoenen_US
dc.rightsAvailable to the World Wide Weben_US
dc.subjectMarching Cubesen_US
dc.subjectImplicit Modelingen_US
dc.subjectInscribed Volumesen_US
dc.subjectMarching Tetra-hedraen_US
dc.subjectExtended Marching Cubesen_US
dc.subjectDual Marching Cubesen_US
dc.subjectDual Contouringen_US
dc.subjectSplineen_US
dc.subjectInscribed Curvesen_US
dc.subjectSubsurface Scatteringen_US
dc.subjectLaguerre tessellationen_US
dc.subjectRadiolariansen_US
dc.subjectVoronoi Diagramen_US
dc.subjectThe BlobTreeen_US
dc.subjectOctreeen_US
dc.subjectporous surfacesen_US
dc.subjectspongy surfacesen_US
dc.subjectPolytopesen_US
dc.titleImplicit representation of inscribed volumesen_US
dc.typeThesisen_US

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