Hierarchical tensor approximation of multi-dimensional visual data

Visual data comprise of multi-scale and inhomogeneous signals. In this paper, we exploit these characteristics and develop a compact data representation technique based on a hierarchical tensor-based transformation. In this technique, an original multi-dimensional dataset is transformed into a hiera...

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Détails bibliographiques
Publié dans:IEEE transactions on visualization and computer graphics. - 1996. - 14(2008), 1 vom: 10. Jan., Seite 186-99
Auteur principal: Wu, Qing (Auteur)
Autres auteurs: Xia, Tian, Chen, Chun, Lin, Hsueh-Yi Sean, Wang, Hongcheng, Yu, Yizhou
Format: Article
Langue:English
Publié: 2008
Accès à la collection:IEEE transactions on visualization and computer graphics
Sujets:Journal Article Research Support, Non-U.S. Gov't Research Support, U.S. Gov't, Non-P.H.S.
Description
Résumé:Visual data comprise of multi-scale and inhomogeneous signals. In this paper, we exploit these characteristics and develop a compact data representation technique based on a hierarchical tensor-based transformation. In this technique, an original multi-dimensional dataset is transformed into a hierarchy of signals to expose its multi-scale structures. The signal at each level of the hierarchy is further divided into a number of smaller tensors to expose its spatially inhomogeneous structures. These smaller tensors are further transformed and pruned using a tensor approximation technique. Our hierarchical tensor approximation supports progressive transmission and partial decompression. Experimental results indicate that our technique can achieve higher compression ratios and quality than previous methods, including wavelet transforms, wavelet packet transforms, and single-level tensor approximation. We have successfully applied our technique to multiple tasks involving multi-dimensional visual data, including medical and scientific data visualization, data-driven rendering and texture synthesis
Description:Date Completed 12.02.2008
Date Revised 12.11.2007
published: Print
Citation Status MEDLINE
ISSN:1941-0506