构造曲线 meaning in English
generator curve
Examples
- According to properties of curve and surface , algorithms , which is based on the elastic splint and the thin plate energy models respectively , are employed to fair curve and surface
根据曲线曲面的性质，以弹性样条和弹性薄片体的能量为物理模型，构造曲线曲面的光顺算法模型。 - Comparing with the quadratic b - spline curve , they have advantages by themselves : firstly , the shape of the curves can be adjusted locally by the parameters i ; secondly , the curves formed by blending functions of degree 4 can be g2 continuous . in addition , in order to meet various requests for continuity of curves in practical applications , corresponding polynomial functions can be used to construct the curves
但与二次均匀b样条曲线相比，它们还有其自身的优点：首先，曲线的形状都可用参数_ i进行局部调整：其次，四次调配函数所构造的曲线就可达到g ~ 2连续；另外，为了满足实际应用中对曲线连续性的不同要求，可使用相应次数的调配函数来构造曲线。 - Finally , a method is put forward to construct the nurbs curves on sphere , which extends the de boor recursive algorithm in r3 to one on the sphere by replacing the geodesic distances for the lines and studies their many geometric properties analogous to those in euclidean spaces , such as the differential property , the local property , the parameter invariance under a projective transformation , and so on
两种方法均给出误差估计，使逼近螺线可达到任何预先给定的精确阶。最后，给出球面nurbs曲线生成算法：用球面上测地线? ?劣大圆弧代替直线段，将欧氏空间r ~ 3中的deboor递推算法推广到球面上构造曲线。 - Secondly , we introduce the recurrence definition of the non - uniform algebraic - hyperbolic b - spline basis using divided differences and the de boor - fix recurrence definition on polynomial functions , and based on the new forms , algebraic - hyperbolic b - spline curves are obtained . they share most of the properties as those of the b - spline curves in the polynomial space . we focus on deducing the calculating and knot inserting formulae for this new kind of curves and then prove that they have the variation diminishing properties
二、利用广义差商,基于多项式b样条的deboor - fix递推定义,给出了任意阶非均匀代数双曲b样条的递推定义,由此构造曲线,证明它的几何不变性、仿射不变性、凸包性、 v . d .性等,重点给出了非均匀代数双曲b样条曲线的递归求值和节点插入算法,算法简单且稳定,便于在计算机上实现