6533b833fe1ef96bd129b5e4

RESEARCH PRODUCT

Weighted ENO interpolation and applications

Francesc AràndigaAna Marı́a Belda

subject

Numerical AnalysisMultiscale decompositionConservation lawDiscretizationApplied MathematicsModeling and SimulationCompression (functional analysis)Mathematical analysisApplied mathematicsContext (language use)Mathematics::Numerical AnalysisInterpolationMathematics

description

Abstract Data-dependent interpolatory techniques such as essentially non-oscillatory (ENO) technique [J. Comput. Phys. 71 (1987) 231] have long been used as a reconstruction process in multiresolution schemes. In this work we analyze the weighted ENO (WENO) technique introduced by Liu et al. in the context of conservation laws [J. Comput. Phys. 115 (1994) 200] and improved by Jiang and Shu [J. Comput. Phys. 126 (1996) 202], and apply it to the compression of images, using multiresolution techniques.

https://doi.org/10.1016/s1007-5704(03)00107-2