1) rational interpolation curves

有理插值曲线
3) rational Lagrange interpolation surface

有理Lagrange插值曲面
4) linear rational interpolation

线性有理插值
5) curve interpolation

曲线插值
1.
Then the algorithm for cubic Trigonometric Bézier curve interpolation is deduced from continuous function f defined in area [a,b] with partitions ⊿:0 1n 1 na t t t? t b= < < < < = and their valuesf(ti)(i= 0,1,,n).
然后,由连续函数f在给定区间[a,b]上的分上上上a=t0
2.
According to the particularity of the images edge that they are the combination of the crossing points of the sample line and the boundary between the blood and the heart by the time, we designed a searching method of linear template based on gray, and combined manual intervention and curve interpolation technology to complete the detection automatically.
M型心动图边界是采样线血液与腔室壁组织结构形成的分界线与采样线交点位置变化的时间函数,根据这一特殊性,设计了基于灰度值的线状模板搜索法,并结合人工干预和曲线插值技术进行全方向M型心动图边界的准自动提取。
3.
Generating subdivision surfaces with complicated curve interpolation constrains is a concerned topic for computer graphics and geometric modeling.
带有复杂型曲线插值约束的细分曲面的生成,是计算机图形学及几何造型技术等领域所关心的一个问题。
6) interpolation curve

插值曲线
1.
The concept of quartic Hermite curve is presented for an application to meet some special engineering requisitions, based on the theoretic methods of Hermite interpolation curve.
在Hermite曲线插值理论基础上,针对工程应用中的特殊要求,提出了四次Hermite插值曲线的概念。
2.
A shape preserving rational cubic B-spline interpolation curve is derived.

由此方法还导出了保形有理三次B样条插值曲线。
3.
The interpolation curve on a given surface is one of the important tasks of CAGD.

利用可展曲面可与平面贴合的性质,构造一个等距对应将可展曲面展成平面,从而将可展曲面上的曲线插值归结为通常的R2上插值曲线的构造,并证明所得的插值曲线为C1连续。
补充资料:有理曲线
有理曲线
rational curve
有理曲线[rati田目curve;p叫.0”场妞aH即抓朗] 定义在代数闭域k上的一维代数簇(司罗bnucva-riety),它的有理函数域是k上1次纯超越扩张(tran-scendental extension).非奇异完全有理曲线同构于射影直线P’.完全的奇异曲线X是有理的,当且仅当它的几何亏格g等于零,也就是说,X上没有正则微分形式. 当火为复数域C时,(仅有的)非奇异完全有理曲线x是Ri~nn球面C口{的}· B皿.C. Ky几拟oB撰【补注】在经典文献中有理曲线亦称单行曲线(u苗-cursal eurve). 如果X定义在一个不必代数闭的域k上,且X在k上双有理等价于P止,则称X为k有理曲线(无-rational eurve).
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