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

作     者：P.Solin D.Andrs 

作者机构：Department of Mathematics and StatisticsUniversity of NevadaRenoUSA Institute of ThermomechanicsPragueCzech Republic 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2009年第1卷第1期

页      面：56-68页

核心收录：

学科分类：07[理学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：the financial support of the Czech Science Foundation(Project No.102/07/0496)and of the Grant Agency of the Academy of Sciences of the Czech Republic(Project No.IAA100760702) 

主　　题：Data compression image compression adaptive hp-FEM orthogonal projection best approximation problem error control 

摘      要：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 *** adaptive compression algorithm is trivial compared to adaptive FEM algorithms for PDE since the error estimation step is not *** method attains extremely high compression rates and is able to compress a data set or an image with any prescribed error *** data and images are stored in the standard FEM format,which makes it possible to analyze them using standard PDE visualization *** examples are *** method is presented in such a way that it can be understood by readers who may not be experts of the finite element method.