Tensor Approximation in Visualization and Computer Graphics

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dc.contributor.authorPajarola, Renatoen_US
dc.contributor.authorSuter, Susanne K.en_US
dc.contributor.authorRuiters, Rolanden_US
dc.contributor.editorDiego Gutierrez and Karol Myszkowskien_US
dc.date.accessioned2014-01-26T15:18:10Z
dc.date.available2014-01-26T15:18:10Z
dc.date.issued2013en_US
dc.description.abstractIn this course, we will introduce the basic concepts of tensor approximation (TA) - a higher-order generalization of the SVD and PCA methods - as well as its applications to visual data representation, analysis and visualization, and bring the TA framework closer to visualization and computer graphics researchers and practitioners. The course will cover the theoretical background of TA methods, their properties and how to compute them, as well as practical applications of TA methods in visualization and computer graphics contexts. In a first theoretical part, the attendees will be instructed on the necessary mathematical background of TA methods to learn the basics skills of using and applying these new tools in the context of the representation of large multidimensional visual data. Specific and very noteworthy features of the TA framework are highlighted which can effectively be exploited for spatio-temporal multidimensional data representation and visualization purposes. In two application oriented sessions, compact TA data representation in scientific visualization and computer graphics as well as decomposition and reconstruction algorithms will be demonstrated. At the end of the course, the participants will have a good basic knowledge of TA methods along with a practical understanding of its potential application in visualization and graphics related projects.en_US
dc.description.seriesinformationEurographics 2013 - Tutorialsen_US
dc.identifier.issn1017-4656en_US
dc.identifier.urihttps://doi.org/10.2312/conf/EG2013/tutorials/t6en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectTensor decompositionsen_US
dc.subjecttensor approximationsen_US
dc.subjectTucker modelen_US
dc.subjectCANDECOMP/PARAFAC modelen_US
dc.subjectcompact visual data representationen_US
dc.subjecthigheren_US
dc.subjectorder SVD methodsen_US
dc.subjectdata reductionen_US
dc.subjectinteractive volume visualizationen_US
dc.subjectmultiresolution and multiscale modelingen_US
dc.subjectclustered tensor decompositionen_US
dc.subjectbidirectional reflectance distribution functionsen_US
dc.subjectbidirectional texture functionsen_US
dc.subjectprecomputed radiance transfer.en_US
dc.titleTensor Approximation in Visualization and Computer Graphicsen_US
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