A family of 4-point dyadic high resolution subdivision schemes


We present a new family of multistep iterative interpolation schemes and a 4-point high resolution scheme reproducing quartic polynomials. Interpolation requires two steps: a coarse scale interpolation followed by a fine scale interpolation. The interpolants are $C^1$, have good local properties, and no additional memory requirement.

In Curves and Surfaces 2002, Saint-Malo, France, 2003