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On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM
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SYSNO ASEP 0334842 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM Title Komprese dat a obrázků adaptivní metodou konečných prvků vyšších řádů Author(s) Šolín, Pavel (UT-L) RID
Andrš, David (UT-L)Source Title Advances in Applied Mathematics and Mechanics - ISSN 2070-0733
Roč. 1, č. 1 (2009), s. 56-68Number of pages 13 s. Language eng - English Country US - United States Keywords data compression ; image compression ; adaptive hp-FEM Subject RIV JA - Electronics ; Optoelectronics, Electrical Engineering R&D Projects GA102/07/0496 GA ČR - Czech Science Foundation (CSF) IAA100760702 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z20570509 - UE-C, UT-L (2005-2011) Annotation We present a novel compression algorithm for 2D scientific data and images based on exponentially-convergent adaptive higher-order finite element methods (FEM). So far, FEM has been used mainly for the solution of partial differential equations (PDE), but we show that it can be applied to data and image compression easily. The adaptive compression algorithm is trivial compared to adaptive FEM algorithms for PDE since the error estimation step is not present. The method attains extremely high compression rates and is able to compress a data set or an image with any prescribed error tolerance. Compressed data and images are stored in the standard FEM format, which makes it possible to analyze them using standard PDE visualization software. Numerical examples are shown. The method is presented in such a way that it can be understood by readers who may not be experts of the finite element method. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2010
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