@Article{AAMM-1-1,
author = {Solin, P. and D., Andrs},
title = {On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2009},
volume = {1},
number = {1},
pages = {56--68},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2075-1354},
doi = {https://doi.org/2009-AAMM-208},
url = {https://global-sci.com/article/73673/on-scientific-data-and-image-compression-based-on-adaptive-higher-order-fem}
}