Tensor Approximation in Visualization and Computer Graphics

Renato Pajarola, Susanne K. Suter und Roland Ruiters
In proceedings of Eurographics 2013 - Tutorials, Eurographics Association, Mai 2013
 

Abstract

In 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.

Course Materials

All course materials are avaiable at http://www.ifi.uzh.ch/vmml/links/TutorTensorAprox.html

Bilder

Bibtex

@INPROCEEDINGS{pajarola-2013-tensor-tutorial,
     author = {Pajarola, Renato and Suter, Susanne K. and Ruiters, Roland},
      title = {Tensor Approximation in Visualization and Computer Graphics},
  booktitle = {Eurographics 2013 - Tutorials},
     number = {t6},
       year = {2013},
      month = may,
  publisher = {Eurographics Association},
    address = {Girona, Spain},
   abstract = {In 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.},
        url = {http://diglib.eg.org/EG/DL/conf/EG2013/tutorials/t6.pdf},
        doi = {10.2312/conf/eg2013/tutorials/t6}
}