In this paper, a ternary 4-point rational interpolation subdivision scheme is presented, and
the necessary and sufficient conditions of the continuity are analyzed. The generalization …

In this paper, the hyperbolic form of binary 6-point interpolating non-stationary subdivision
scheme has been constructed using the hyperbolic function. Some of the important …

New subdivision schemes are always required for the generation of smooth curves and
surfaces. The purpose of this paper is to present a general formula for family of parametric …

Ternary 2N-point Lagrange subdivision schemes with a tension parameter are analyzed. It is
shown that the resulting curves are C 3, C 4 and C 5 continuous for the values of N= 2, 3 and …

Binary non-stationary four and five point subdivision schemes have been developed using
hyperbolic B-spline basis functions. The proposed subdivision schemes generate pleasing …

In this work ternary non-stationary subdivision schemes, based on hyperbolic B-spline basis
functions, have been presented. The proposed hyperbolic, ternary three point and four point …

In digital cartography, the automatic generation of random planar patterns and symbols is
still an ongoing challenge. Those patterns and symbols of randomness have randomly …

Little attention has been paid to estimating dimensions of the curves generated by the
subdivision algorithms. A unified method is proposed to estimate the dimension of curves …

To represent fractals in frequency domain, this paper proposes a method of fractal frequency
analysis based on an orthogonal function system, the V-system, with self-similar structure …

New subdivision schemes are always required for the generation of smooth curves and
surfaces. e purpose of this paper is to present a general formula for family of parametric …