查询词典 curvature vector

Eight dimensional feature vectors(3-dimensional coordinate,3-dimensional normal vector and2-dimensional curvature)are taken as input for this fuzzy SOFM to realize segmentation in reverse engineering.

1引言逆向工程中的区域分割是将点云数据按照指定分割准则犤1犦分成若干个子集。

In this paper we discuss the existence of surfaces of rotation about given Gauss curvature function in R 3 and give the position vector field of these surfaces.

讨论了R3 内给定 Gauss曲率函数的旋转曲面的存在性问题并且给出了这类曲面的位置向量场。

In this paper, we discuss the existence problem of rotation surfaces of given Gauss curvature function in H_1~3(-1) and give the position vector field of the surfaces.

中文摘要：本文讨论了三维反de sitter空间H_1~3(-1)中给定Gauss曲率函数的旋转曲面M的存在性问题并给出了这类旋转曲面的位置向量场。

In section three, we mainly discuss the existence problemof rotation surfaces of given Gauss curvature function in H_1~3(-1) and give theposition vector field of the surfaces and obtain theorem one and theorem two.

第三节主要讨论了H_1~3(-1)中给定Gauss曲率函数的旋转曲面M的存在性问题并给出了这类旋转曲面的位置向量场，得到了定理1和定理2。

A unit vector normal to the plane of T and N , which is the plane of curvature.

B垂直于 T 和 N 所构成的平面的单位向量，该平面为曲率所在的面。

A unit vector normal to the plane of T and N, which is the plane of curvature

B 垂直与平面 T 和 N 的单位向量，即面的曲率

Based on the plane vector field method and curvature analysis, a robust algorithm of surface intersection is implemented.

本文总结了用平面向量场确定初始跟踪点的算法，给出了使用曲率分析精确计

The techniques for obtaining initial tracing points and tracing intersection branches are the most important issues in surface intersection algorithm. This paper reviews the plane vector field method which is exploited to get initial tracing points,and gives the relation between normal curvature and tracing direction.

平面向量场与曲率分析在曲面求交中的应用宁涛，马德昌，王亚平，唐荣锡（北京航空航天大学制造工程系北京100083）摘要在曲面求交算法中，初始跟踪点的确定和交线分支的跟踪是最关键的两个问题。

First, a smooth curve is obtained from the data by curve fitting with the method of non-linear least squares fit. Then the tangent vector and the radius of curvature of each point on the curve can be calculated for the error evaluation. With the fitted curve, the focusing state of the aspheric lens can be obtained by the method of ray tracing.

主要过程为首先采用非线性最小二乘拟合的方法进行曲线拟合，并计算出曲线上各点的切矢量和曲率半径，分析它们的误差，最后对拟合后的曲线用光线追迹的方法得到非球面镜的聚焦情况。

The methods above are used in practical data-processing. The errors of the tangent vector, the radius of curvature and the focusing are obtained through curve fitting and ray tracing. Finally, the charts are ploted by the matlab emulation.

将以上方法用于实际数据的处理中，对一组透镜表面数据进行拟合、分析，最终得出透镜的表面形状误差、各点的切矢、曲率半径误差以及光线的聚焦误差，并用matlab仿真出曲线图。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。