6533b7d9fe1ef96bd126d6df

RESEARCH PRODUCT

A fully adaptive multiresolution scheme for image processing

Jacques LiandratJ. Carlos TrilloSergio AmatRosa Donat

subject

Mathematics::Functional AnalysisPolynomialNumerical analysisMultiresolution analysisImage processingComputer Science ApplicationsPolynomial interpolationWaveletModelling and SimulationComputer Science::Computer Vision and Pattern RecognitionModeling and SimulationCompression (functional analysis)CalculusPiecewiseAlgorithmMathematics

description

A nonlinear multiresolution scheme within Harten's framework [A. Harten, Discrete multiresolution analysis and generalized wavelets, J. Appl. Numer. Math. 12 (1993) 153-192; A. Harten, Multiresolution representation of data II, SIAM J. Numer. Anal. 33 (3) (1996) 1205-1256] is presented. It is based on a centered piecewise polynomial interpolation fully adapted to discontinuities. Compression properties of the multiresolution scheme are studied on various numerical experiments on images.

yearjournalcountryeditionlanguage
2007-07-01Mathematical and Computer Modelling
https://doi.org/10.1016/j.mcm.2006.12.003