In this paper we present two reconstructions in the cell average framework of multiresolution a la Harten. The first one combines interpolation and least squares fitting and the second one is based on least squares fitting. We study some of their properties as well as its approximation order. We also analyze how different adaptive techniques (ENO and SR) can be used within these reconstructions. We apply them to noise removal and compare the results that we obtain with other existing techniques.
Digital Object Identifier (DOI)
Ar?ndiga, Francesc and Jaime Noguera, José
"Reconstructions that Combine Cell Average Interpolation with Least Squares Fitting,"
Applied Mathematics & Information Sciences: Vol. 10
, Article 16.
Available at: https://dc.naturalspublishing.com/amis/vol10/iss1/16