Analysis of a new nonlinear subdivision scheme. Applications in image processing
A nonlinear multiresolution scheme within Harten's framework [12], [13] is presented, based on a new nonlinear, centered piecewise polynomial interpolation technique. Analytical properties of the resulting subdivision scheme, such as convergence, smoothness, and stability, are studied. The stability and the compression properties of the associated multiresolution transform are demonstrated on several numerical experiments on images.
nonlinear subdivision scheme multiresolution harmonic mean