We analyze the shape-preserving properties of ternary subdivision schemes generated by
bell-shaped masks. We prove that any bell-shaped mask, satisfying the basic sum rules …

通过在Hassan 的四点三重插值细分法中引入一个偏移变量, 推导出了一种逼近细分法,
从而使三重逼近细分和插值细分统一到一个细分格式. 该方法利用细分格式的生成多项式 …

Based on Lagrange polynomials and variation of constants, we devise a novel 2n-1-point
interpolatory ternary subdivision scheme that reproduces polynomials of degree 2n-2. We …

First, we explore the properties of families of odd-point odd-ary parametric approximating
subdivision schemes. Then we fine-tune the parameters involved in the family of schemes to …

We present an explicit formula which unifies the mask of (2n− 1)‐point ternary interpolating
as well as approximating subdivision schemes. We observe that the odd point ternary …

The emerging of the new technologies results in the situation that the User Equipment (UE)
may use multiple interfaces to access the network with multiple technologies, which can be …

In this paper, we design a ternary even symmetric 2n-point approximating subdivision
scheme which generates smooth curves of high order. We illustrate the technique with a …

Based on the p-ary subdivision rules for B-splines, we show how to design more general
subdivision schemes that preserve the B-spline smoothness exactly or almost. We illustrate …

Wireless sensor networks are generally deployed in inhospitable terrain where the
lightweight nodes are expected to detect an event and send relevant data to the Base …

A new binary four-point approximating subdivision scheme has been presented that
generates the limiting curve of C 1 continuity. A global tension parameter has been …