Resumen de High order nonlinear interpolatory reconstruction operators and associated multiresolution schemes

Sergio Amat Plata, Karine Dadourian, J. Liandrat, Juan Carlos Trillo Moya

• This paper is devoted to the construction and analysis of a new family of nonlinear reconstruction operators and associated interpolating subdivision schemes. They are based on centered piecewise nonlinear polynomial interpolations adapted to discontinuities.

  We analyze both subdivision schemes and multiresolution schemes associated to these reconstructions. Some practical properties of these schemes are demonstrated in various numerical examples.