In this paper, a new combined approximating and interpolating ternary 4-point subdivision
scheme with multiple parameters is proposed. A set of nice properties, such as support …

This work discusses a ternary 4‐point approximation subdivision technique with two
properties, namely, convexity and monotonicity preservation. The fundamental contribution …

A new combined ternary 4-point subdivision scheme is introduced that generates
interpolating C 1 limiting curves and approximating C 1, C 2, C 3 limiting curves. Laurent …

Combined binary 6-point interpolating and approximating subdivision scheme with tension
parameters is analyzed. It is shown that the resulting curves are C 1, C 2 interpolating …

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 …

The Chaikin's scheme presents the interesting property of not producing Gibbs
phenomenon. The problem arises when we need a scheme that provides a higher order of …

This paper is devoted to the construction and analysis of some new non-linear subdivision
and multiresolution schemes using the Lehmer means. Our main objective is to attain …

In this paper, we propose an efficient strategy for the construction of a family of ternary
subdivision schemes with five parameters. These five parameters allow us to increase the …