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1)  quasi-polygon
拟控制多边形
2)  control polygon
控制多边形
1.
It preserves the shape of the control polygon better than original Bézier curves.
给出一类具有n+1个控制点及一个附加参数l的可调控Bézier曲线,它比原先的Bézier曲线更加保形于控制多边形,只要改变参数l的值就能调控曲线的形状,并且当l无限增大时,曲线整体地一致逼近于控制多边
2.
The theorem describes the relationship among the cusp,loop,and inflectant points on B-spline curves whose control polygon has only one inflecting point;the theorem has a practical guide to CAD.
该定理描述了当控制多边形只有一个拐向点时B—样条曲线的拐点、尖点和二重点的关系。
3.
Furthermore,it is proved that the control polygons generated by the subdivision converge to the original C-curve of degree five.
给出了五次C-曲线的细分公式,并且证明了细分过程产生的控制多边形序列收敛于原曲线。
3)  control polygon subdivision
控制多边形细分
1.
The method can automatically do curvature analysis,controls points generating,control polygon subdivision,controls points optimization and iteration according to the distributing of data points,and complete the curve approximation.
提出一种新的基于细分与优化技术的曲线逼近算法:该算法能够根据数据点的分布情况自动完成曲率分析、控制点生成、控制多边形细分、控制点优化及算法迭代一系列过程,从而实现曲线逼近。
4)  M controlling polygon
M控制多边形
5)  polygon fitting
多边形拟合
1.
In this paper,a method about contour extraction of regular targets in images is proposed,which is based on an improved rectangle fitting method and a polygon fitting method.
本文基于改进的矩形、椭圆和多边形拟合算法,提出了一种图像中规则目标的轮廓提取算法。
2.
In the process of identification,the extraction and the outline of the polygon fitting algorithm are used to automatically search for images to identify and track targets.
在识别过程中采用了轮廓提取和多边形拟合算法自动搜寻到图像中要识别和跟踪的目标,同时对目标物轮廓的多边形角点进行亚像素分辨率的定位,从而可以利用目标轮廓角点的精确定位来实现对多边形目标的识别与跟踪。
6)  polygonal fitting
多边形拟合
1.
In order to solve the problem,that is,the traditional methods of polygonal fitting based on mergence are very sensitive to the "burr" at the boundary,and the area encircled by the contour and the fitting polygon is hard to be controlled,a new drawing method for the arrangement of the leather image contour is proposed.
针对传统基于聚合的多边形拟合法对皮革图像边缘毛刺敏感和对所围面积无法控制的问题,提出了一种排样图像的轮廓线生成方法。
2.
A simple and highly efficient polygonal fitting arithmetic is inroduced,and the arithmetic can avoid repeating calculation during traveling object image boundary data and all polygonal fitting points can be computed without the method of recursion call,and benefits to computer image realtime process and online test.
提出了一种简单高效的多边形拟合算法 ,不必采用递归调用的方法 ,仅在对目标图象的边界数据的一次遍历中 ,即可计算出所有的多边形拟合点 ,避免了递归调用中的重复运算 ,有利于计算机图象的实时处理和在线检测。
3.
This paper presents an polygonal fitting method to image contour based on mergence.
采用多边形拟合物体图象边缘轮廓线,即实现从图象到图形的转换的方法,与直接记录原图象数据相比可大大减少轮廓线上所需记录的边缘点的个数,即减少数据量。
补充资料:超改进控制加权形心单纯形法
分子式:
CAS号:

性质:结合了超改进单纯形法与控制形心单纯形法两者的优点而产生的一种单纯形优化方法。由除响应值最差的顶点w以外的其余各单纯形顶点的响应值计算加权形心点pw,引入控制参数γ调节加权形心点的位置,确定w的反射点pγ,以保证单纯形沿逼近梯度的方向推移。在确定的推移方向上,根据顶点w、加权形心点pw。和反射点pγ的响应值用二次曲线拟合求导,决定单纯形的新顶点,以保证新顶点在该推移方向上是最优的,从而加快了优化速度。

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