闭曲线

基于周期性延伸的三次B样条闭曲线插值

Interpolation of Cubic B-spline Closed Curve Based on Periodic Extension

该方法只要输入B样条闭曲线的阶数和有序数据点就可以得到一条满足预期的形状的B样条闭曲线。

With this approach , a B-spline closed curve satisfying the desired shape fidelity can be generated as long as a set of ordered points and the order of B-spline closed curve are inputed .

反算控制点的三次均匀B样条闭曲线插值功能模块的设计

Model Design of Cubic Uniform B Spline Close Curve Based on Interpolation

设B是一个复的向量空间，它是由环链在平环上的简单闭曲线生成。

Let B be a complex vector space generated by some simple closed curves in the annulus .

讨论与给定切线多边形相切的分段三次Bézier曲线，所构造的曲线是C2连续的闭曲线，且对切线多边形保形。

A method is presented for constructing piecewise quadratic rational B é zier curve with given tangent polygon .

球面闭曲线和Jacobi定理

On the Closed Spherical Curves and Jacobi Theorem

凸闭曲线平行线Steiner公式浅析

An Analysis of the Steiner Formulation on Parallel Curves of Convex Closed Curve

给出球面闭曲线的一个整体性质，并用以推广关于空间闭曲线的Jacobi定理。

A global property of spherical curves is given and applied to generalize Jacobi theorem on closed space curves .

Parker一书中的证明，而且把结果推广到可展曲面上与直母线正交的闭曲线。

Moreover , the result is extended to the closed curve Which is orthogonal with the rectilinear generator on a developable surface .

本文利用Moser扭转定理证明Fibonacci映射在椭圆型二周期点附近存在F~2－不变闭曲线。

We prove that there exist F2-invariant closed curves near elliptic two-period points for Fibonacci map by applying Moser twist theorem .

本文主要将卵形线的Steiner曲率重心问题推广到分段光滑凸闭曲线上去，并证明了一个定理。

This paper mainly spreads the centre problem of Steiner curvature as to oval to smooth convex closer curve in sections , and proves a theorem .

本文中，我们主要讨论曲面上一种特殊自同胚&Dehntwist的重合点，给出了重合点Nielsen数与闭曲线的最小几何相交数的联系。

We obtain a relation between the Nielsen number of coincidence points of two Dehn twists and the minimal geometric intersection number of the simple closed curves determining these two Dehn twist .

当重力能量与总能量相比很小时，KAM不变闭曲线的存在表明无重力系统的总动量守恒的特点。

The existence of the KAM invariant closed curves represents that some characters of the " total generalied momentum " conservation of the gravity free system can be kept when the gravitation energy is small in comparision with the total energy .

欧氏空间中闭曲线的切线象

The tangent spherical image of a colosed curve in the Euclidean space

关于简单闭曲线切线的旋转指标定理

On the theorem of turning tangents of simple closed curves

关于球面闭曲线的一个不等式

A inequality about the closed curve on a sphere

电镀产品的公差与二元变闭曲线

The Tolerance of Electroplated Products and a Closed Curve Varied with Two Parameters

封闭曲线的周长、面积和闭曲线中心坐标的计算。

The calculations of perimeter , area and central coordinates for an enclosed curve .

沿这条闭曲线，从原点出发。

If I move along this closed curve , I start at the origin .

关于平面简单闭曲线的跨度

About spans of planar simple closed curves

空间闭曲线的球面映射

Spherical Map of Space Closed Curve

最后就用二次曲线对平面闭曲线插值问题进行了研究。

Last , a method for interpolating a closed points sequence in a plane is given .

如果是一条闭曲线，也可以用二重积分来代替的。

If it is a closed curve , we should be able to replace it by a double integral .

主要结论是系统（3.9）存在吸引的不变闭曲线，也有复杂的动力学性态。

The main result is that system ( 3.9 ) exists an attracting invariant closed curve and complicated dynamic quality .

用一个二重积分，来代替沿闭曲线的线积分，原理是一样的。

Let 's us replace a line integral along a closed curve by a double integral Well , here it is the same .

内接于平面凸闭曲线的多边形面积和周长取得极值的必要条件

Necessary condition to obtain the extremum of the area and the girth of the polygon inscribed with convex , closed and smooth curve on a plane

实际上这对任何闭曲线都适用，向外的通量还是面积的两倍。

It is true actually for any closed curve that the flux out of it is going to be twice the area of the region inside .

多材料结构中材料界面的变形运动在几何上可以抽象为闭曲线或闭曲面随时间的演化。

In a structure of multi-materials , the motion of material interlaces can be abstracted as the evolvement of closed curve or curved surfaces with respect to time .

它们要表达的都是，沿一条闭曲线作线积分，都可以表示成，平面区域上的二重积分。

Both of them have to do with comparing a line integral along a closed curve to a double integral over the region inside enclosed by the curve .

运用机械臂的协调运动实现对载体位姿的调整，以及调整载体姿态的铰空间闭曲线方法。

The vehicle 's attitude is regulated by a manipulator , and the regulation is achieved by the manipulator 's coordinated motion along a closed curve in the joint space .