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平面曲线

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Circular cone and a plane parallel to an element of the curve.

一个''。'正'。''圆锥体与一个平面相交所形成的平面曲线

A plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve .

一个正圆锥体与一个平面相交所形成的平面曲线

In order to recognize the 2D shapes, we proposed a set of perspective invariants of a pair of coplanar conics in this paper, we suggest a perspective invariant representation of general planar curve based on ellipse, and give an algorithm using the invariants and the representation to recognize 2D shapes.

为了实现二维形状的透视投影不变性识别,本文推导出了一种共面二次曲线对的透视投影不变量,提出了一种基于椭圆的平面曲线的透视不变性表示方法,并且给出了用该不变量和不变性表示方法实现二维形状识别的算法。

With the help of .NET platform, C# Language is used in secondary development of AutoCAD. That is to realize automatic skeletonizing of highway horizontal alignment giving the coordinates of beginning point and ending point as well as crossing point′s basic information. The research fruit can be applied in the software of plane curve.

在。NET平台下,采用C#语言进行AutoCAD二次开发,即在给定路线起终点坐标与交点基本信息的基础上实现路线平面线形的自动绘制,此研究成果完全可以被平面曲线设计软件所利用。

This paper introduces a method of adding a new popup menu item to the menu groups of AutoCAD, creating user interface, establishing macro code,designing and drawing the contour curve of plate cam at the designated point in AutoCAD based on AutoCAD VBA,providing a living example for designing and drawing the complex planar curve in AutoCAD.

利用AutoCADVBA向AutoCAD菜单栏添加新菜单项,创建图形用户界面,编制宏代码,并在AutoCAD中设计和定点绘制凸轮轮廓曲线,为在AutoCAD中设计和绘制复杂平面曲线提供了具体实例。

Based on the local parametric representation of a curve, the mathematical models of planar mechanism optimum synthesis for the local path generation are built. Objective functions are constructed generally and for some special cases as well.

平面曲线局部参数表示的基础上建立平面机构局部轨迹优化综合的数学模型,构造了一般情况下及常见特殊情形的优化目标函数。

Critical point detection of planar curves can be well applied in approaching of curves using poly lines,which has very important applications in image recognition,measurement and analysis.

平面曲线的关键点检测可用于数字曲线的直线段逼近,因此在很多图像识别、测量及分析的场合均有重要应用。

On the basis of analysis of geometric feature of plane curve,an algorithm for matching contours is introduced in this paper.

在分析平面曲线的几何特性的基础上,提出了一种快速有效的轮廓曲线匹配算法。

Most of hob design for non-involute gears are nowadays taken by approximation method.For example,the normal sectional profile of hob worm therad is usually regarded approximately as its basic rack profile.Recently, some new methods have been developed in this respect but, perhaps, they appear overelaborate since the principle of spacing engagement is based on. For this reason , the paper offers a new design procedure for hob worm based on the planar engagement principle with the intention of simplific...

本文应用平面啮合原理精确设计各种非渐开线齿轮滚刀的基本蜗杆,提出并应用啮合线的投影原理从工件齿轮端截面的啮合线直接求得刀具蜗杆的端面齿形,而不必求出媒介齿条的齿形,方法很简单,还从啮合线的投影原理简明而形象地证明了一对螺旋齿轮直接啮合过程的啮合线是一条垂直于齿向的平面曲线

This thesis makes use of complex numbers to study geometry. It mainly considers the following questions: using complex numbers to express collected points and curves on the level;geometric applications of complex numbers on collinear,concurrent,round,Mobius Mappings of Complex numbers problems,etc..Meanwhile,this thesis recommends some methods for thinking on mathematics.

本文利用复数来研究几何,主要考虑如下的问题:平面上的点集的复数表示;平面曲线的复数表示;复数在共线、共点、共圆、复数的麦比乌斯变换等几何问题上的应用,在说明这些应用的同时介绍一些数学上常用的思考方法。

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