Some New <i>n</i>-Point Ternary Subdivision Schemes without the Gibbs Phenomenon

Abstract

This paper is devoted to the construction and analysis of some new families of n-point ternary subdivision schemes. Some members of the families were adapted to the presence of discontinuities converging to limit functions without Gibbs oscillations. We present a numerical comparison where we check the theoretical properties.

Keywords

• subdivision
• ternary
• Laurent polynomial
• convergence
• reproduction polynomials
• discontinuities