About: On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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. 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. (en)
Title	On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM (en)
skos:prefLabel	On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM (en)
skos:notation	RIV/61388998:_____/09:00334842!RIV10-AV0-61388998
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA102/07/0496), P(IAA100760702), Z(AV0Z20570509)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Andrš, David Šolín, Pavel
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav termomechaniky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	331451
http://linked.open...ai/riv/idVysledku	RIV/61388998:_____/09:00334842
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	data compression; image compression; adaptive hp-FEM (en)
http://linked.open.../riv/klicoveSlovo	data compression image compression adaptive hp-FEM
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[7B25629A5E18]
http://linked.open...i/riv/nazevZdroje	Advances in Applied Mathematics and Mechanics
http://linked.open...in/vavai/riv/obor	JA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Advanced algorithms for solution of coupled problems in electromagnetism Methods of higher order of accuracy for solution of multi-physics coupled problems
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	1
http://linked.open...iv/tvurceVysledku	Šolín, Pavel Andrš, David
http://linked.open...n/vavai/riv/zamer	Interaction of Electromagnetic Fields and Dynamics of Controlled Energy Conversions in Electrical Engineering
issn	2070-0733
number of pages	13 (xsd:int)

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