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Heterogeneous Object Scalar Modeling and Visualization Using Trivariate T-splines

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dc.contributor.advisor Zhu, Yimei en_US
dc.contributor.advisor Weinacht, Thomas en_US
dc.contributor.author Huang, Hao en_US
dc.contributor.other Department of Computer Science en_US
dc.date.accessioned 2012-05-15T18:04:10Z
dc.date.accessioned 2015-04-24T14:52:35Z
dc.date.available 2012-05-15T18:04:10Z
dc.date.available 2015-04-24T14:52:35Z
dc.date.issued 2010-05-01
dc.identifier Huang_grad.sunysb_0771M_10072.pdf en_US
dc.identifier.uri http://hdl.handle.net/1951/55476 en_US
dc.identifier.uri http://hdl.handle.net/11401/72546 en_US
dc.description.abstract Volume modeling has become an important research topic. For many years people have been focusing on modeling homogeneous solid object. Because of the rapid hardware and technological development in volumetric data acquisition during the past decade, effectively modeling heterogeneous volumetric objects or datasets becomes imperative in solid modeling and 3D graphics. A heterogeneous model consists of a solid model and a number of spatially distributed material attributes. Heterogeneous object scalar modeling focuses on representing and capturing a broad range of complex appearances in solid model.Discrete representations such as voxels and regular or irregular grids have been predominating in scientific visualization and finite element analysis for the last thirty years. Prior state-of-the-art in continuous representations include B-splines and simplex splines, however, they either lack of local adaptivity and refinement, and hierarchical structure, or have irregular domain and the process of choosing partitioning into simplices is hard.To overcome these problems, in this thesis we advocate a continuous representation scheme for heterogeneous material modeling which built upon trivariate scalar T-splines, whose domain is principal-axis-aligned regular and control grids/lattice permit T-junctions. By using trivariate T-splines, lines of control points need not traverse the entire control grid and local adaptivity and refinement can be obtained. Moreover, heterogeneous volumetric objects can be adaptively refined in a hierarchical manner (hierarchical refinement) by this scalar modeling method.In addition to object modeling and material representation, we also design a volume rendering algorithm via ray-casting. Since trivariate T-splines afford a continuous representation, we can benefit from this precise and compact mathematical formulation that will facilitate the modeling and visualization tasks in engineering applications. Several techniques, such as empty space skipping, intersection refinement, adaptive sampling, and attribute integration have been proposed to get both efficient and accurate visualization results. We conduct experiments that have demonstrated the utility of our trivariate scalar T-splines in modeling, graphics, and visualization. en_US
dc.description.sponsorship This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree. en_US
dc.format Monograph en_US
dc.format.medium Electronic Resource en_US
dc.language.iso en_US en_US
dc.publisher The Graduate School, Stony Brook University: Stony Brook, NY. en_US
dc.subject.lcsh Computer Science en_US
dc.subject.other Heterogeneous Object Scalar Modeling, Trivariate T-splines, Volume Ray-casting en_US
dc.title Heterogeneous Object Scalar Modeling and Visualization Using Trivariate T-splines en_US
dc.type Thesis en_US
dc.mimetype Application/PDF en_US
dc.contributor.committeemember Xianfeng Gu en_US
dc.contributor.committeemember Joseph Mitchell. en_US

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