空间曲线

质点连续经过的点描绘出一条空间曲线。

The succession of points occupied by the particle will trace out a curve in space .

对于一条空间曲线Г，求曲面∑，使Г为其曲率线或渐近曲线或测地线的问题，在所见的微分几何书中都未曾提及，本文就此略作讨论。

As a curve in space , this paper discusses briefly that the curve becomes a curve of curvature , asymptote or a geodesic curve of a surface .

介绍了空间曲线的3D坐标计算及测设技术，并给出了坐标计算程序设计的流程图。

The programming flow chart of coordinate computing is refered .

CNC系统中复杂空间曲线的自动编程处理

Automatic Programming for Parametric Curve in CNC System

机床CNC系统中任意空间曲线的可控步长插补方法

Prearranged step interpolation method for random - space - curve in CNC machine - tool-system

利用MATLAB软件对侧刃空间曲线及其构形误差进行了仿真。

Simulation of space curve line and its profiling error of cutting edge is acted by MATLAB software .

周期函数级数定义的空间曲线的Packing维数

The Packing Dimension of the Graph of Fractals Repressed by Periodic Function Series in 3 Dimension Space

应用二维曲线绘制中光滑效果比较好的张力样条函数方法研究了3DGIS中空间曲线的绘制问题。

This paper studied the problem of how to draw spatial curve in 3D-GIS by tension spline function that is used extensively in drawing plane curves .

空间曲线的高阶几何Hermite插值

Triple Geometric Hermite Interpolation for Spatial Curves

适用于计算流体动力学（CFD）工作者构造各种复杂的计算网络，并可以推广到各种复杂的空间曲线点的插值计算。

The method is very useful for generating complicated grids automatically for CFD researchers , and can be generalized for point interpolating of all kinds of3 dimensional curves .

首先，从生物学背景和几何对称观点出发，建立了DNA序列的三维空间曲线的表达形式。

Firstly , on the point of biological background and geometrical symmetry , we established a descriptive model of 3 - dimensional space curve on the DNA sequence , by which we got a rudimentary mathematical model - Calculus model .

基于位置传感器PSD和光学三角原理，开发了一种适于空间曲线型微细管孔内表面三维重构的检测系统。

A detection and three-dimensional reconstruction system for the interior surface of small-diameter pipes was presented based on Position Sensitive Detector ( PSD ) and optical triangulation principle .

说明了圆柱螺线是Bertrand曲线，同时曲率和挠率都是常数的空间曲线一定是圆柱螺线。

It shows that cylindrical spirals are Bertrand curves and a space curve with constant curvature and torsion is a cylindrical spiral .

3D-GIS中空间曲线绘制方法研究

Method of drawing spatial curves in 3D-GIS

因没有沿空间曲线扫描的GRIP函数可供使用，故采用缝合自由曲面与有界平面的方法来解决这个问题。举例介绍了算法的实现。

Because there is no GRIP function which can scan along the special curve , so the method of suturing the free surface with the bounded-plane is applied to solve this kind of sweep problem .

点M在空间曲线坐标系中的r，v和a及其在不同坐标系中的变换关系变质量非线性非完整系统相对于非惯性系的一类新型变分原理与运动方程

γ,ν and a of Point M in the Spacial Curvilinear Reference Frame and Their Relationship of Conversion in Different Ones A NEW VARIATIONAL PRINCIPLE AND THE CORRESPONDING EQUATIONS OF MOTION OF A HIGH-ORDER NONLINEAR NONHOLONOMIC SYSTEM OF VARIABLE MASS ON A NONINERTIAL REFERENCE FRAME

此桥型外观新颖，富有空间曲线美及力度感，具有明显的艺术造型与技术创新的特点，但V撑蝶形拱的构造复杂，设计和施工难度均相对较高。

The type of bridge has novel appearance , space curves and strength feeling and features of artistic design as well as technical innovation . But the structure of ⅴ - shaped butterfly arch is complex ; the design and construction are relatively difficult .

而横向摇臂焊缝质量是该部件的重中之重，整个工件的正反两面共有16条CO2气体保护弧焊焊缝，大多数为呈空间曲线分布的角焊缝。

The weld quality of the horizontal arm is the most important one . There are 16 CO2 gas shielded arc weld seams on the whole work piece . Most of the weld seams are fillet welds in the shape of space curve .

本文论述了由CCD摄像机拍摄的一幅图像经数字图像处理如平滑去噪、阈值分割、细化等手段得到单像素宽的激光条纹，把平面激光条纹还原成空间曲线上的离散点的过程。

This paper present the digital image processing that get the one-pixel width laser stripe image from the image got by the CCD camera such as filtering waves , threshold image segmentation algorithm , throw the 2-D laser stripe project to 3-D scatter dots .

MATLAB系统应用到水利计算中，计算精度高，计算程序简捷.而且可以方便地绘制像二维图、一元函数图像、空间曲线、曲面图等图像。

MATLAB is applied in hydraulic computing , its calculation accuracy is high , calculating program is simple and direct , the two - dimensional image , the one - dimensional function image , the space curve image , the curved surface image are conveniently drawn up .

详细介绍了软件设计中碰到的几种空间曲线的计算方法，并对切割机器人的机械结构、硬件平台进行了介绍，并结合实际情况对该设备进行了PID参数调节。

The paper has recommended the calculation methods of various space curves in the software design . The paper has introduced the mechanical structure , hardware platform of the incisory robot , and base on the actual situation has carried on the PID parameter adjustment to the equipment .

基于三次NURBS曲线的矩阵表示给出了1个三次NURBS空间曲线的插值算法，即反求三次NURBS曲线权因子和控制顶点的完整算法。

An good interpolation method for cubic NURBS space curve is presented , based on the matrix of cubic NURBS curve . that is , it is an perfect method to get weights and control points of cubic NURBS curve .

以在空间曲线理论中起重要作用的富列耐塞勒（FrenetSerret）公式为基础，把BHA所受的力及力矩表示为三维非正交坐标系中视分量的形式，建立了力和力矩平衡方程。

Based on the Frenet-Serret formulas which are very important in the vector and tensor analysis theory , the force and moment equilibrium equations are established by the technique of apparent components system .

Fenchel曾证明，封闭空间曲线的切线象的长不小于2π。

Fenchel proved that the length of the tangent spherical image of a closed space curve is at least 2 π . In this paper , we prove the following theorem .

HP-6机器人借示教或虚拟仿真离线编程预设作业任务，在理论上能够预设沿任何空间曲线路径形成焊接作业任务。

Universal welding robots mainly use the way of Teach reproduction and virtual simulation off-line programming for pre-operational tasks , and it can pre-operate welding task along any space curve path in theory .

用任意空间曲线控制的复杂组合曲面数控加工算法研究

NC Milling for Complicated Multi Surfaces Controlled by Arbitrarily Spatial Curves

超长空间曲线束后张法预应力技术

Introduction of Superlong Space Curved Bundle Post - tensioned Prestressing Technology

基于斜率的空间曲线节点的新算法

New Calculating Method for Joint Based on Slope for Spatial Curve

变平面及步长逼近空间曲线

Changing the Plane and Step Length To Approach Space Curve

高精度空间曲线数控切割机的精度分析

Accuracy analyses for high-precision space curve numerical control cutting machine