Bézier curves with n shape parameters and triangular Bézier surfaces with 3 n (n+ 1)/2
shape parameters are presented in this paper. The geometric significance of the shape …

This paper presents a computer-based technique to construct B-spline parametric models
from a large set of airfoil data points, with a reduced number of parameters involved in the …

C-Bézier and CB-spline curves, as the trigonometric extensions of cubic uniform spline
curves are well-known in geometric modeling. These curves depend on a shape parameter …

We introduce a kind of shape-adjustable spline curves defined over a non-uniform knot
sequence. These curves not only have the many valued properties of the usual non-uniform …

Interpolation of a sequence of points by spline curves generally requires the solution of a
large system of equations. In this paper we provide a method which requires only local …

A new type of cubic trigonometric Bézier curve has been introduced in [1]. This trigonometric
curve has two global shape parameters λ and µ. We give a lower boundary to the shape …

Sažetak B-spline surfaces are piecewisely defined surfaces where the section points of the
domain of definition are called knots. In [2] the authors proved some theorems in terms of …

Blade measurement is a key technique and a hard nut to crack in aero-compressor
manufacturing. This paper analyses the law of the knot vector's influence on NURBS …

本文研究了调整一个节点对B 样条曲线产生的影响. 调整B 样条曲线的一个节点,
引起两个节点区间改变. 讨论了这两个节点区间上有定义的B 样条基函数所发生的变化, 以及对B …

A method of the three-dimensional (3-D) simulation for warp-knitted fabric has been
presented based on the characteristic structure of the yarn. And a 3-D model for warp loop …