查询词典 mean curvature

The first and second derivatives of the coordinates of a cam profile are calculated using numerical differentiation method,and substituted with curvature radius formulas in calculus,thus obtaining its curvature radius.

应用数值微分法计算凸轮廓线坐标的一、二阶导数，代入微积分学中曲率半径公式，即得凸轮廓线的曲率半径。

One is based on the B-spline fitting to the contours;the other computes the curvature directly taking advantage of the relation of curvature and osculating circle.

一是基于轮廓的B样条拟合，通过计算拟合B样条曲线在各采样点处的曲率估算轮廓点的曲率

For getting the major characteristic edges without confusions by undesired structures like muscle edges, we integrate a star-like edge detection filter named "Asterisk Filter" with the Canny Edge Detection in the image preprocessing. In addition, we also propose a new contour tracking method named "One-Pixel Rolling Ball Contour Tracking" for getting the boundary information in a binary image which is a link-list data structure. Instead of using a regression curvature estimator, PCA is used for better curvature estimation from a discrete bony contour.

为了从影像上取得骨头特徵边缘，将不重要的肌肉视为杂讯滤除，我们引用一种星形滤波器－Asterisk Filter，搭配Canny边缘检测法，做为这类影像的前处理；另外，为了将骨头的边缘精确地追踪出来，我们提出滚球边界追踪法，来对二值化影像进行边缘追踪，藉此获得边缘的串列资料结构；我们采用以主成分分析(Principle Component Analysis，简称PCA)取代原本以回归方法来计算的曲率，以取得更佳的曲率估测值，其可提高计算之参数的准确性。

At the every relative momentary point of time time-space, is to the situation of observe identity mutuality gravitation and space-energy quantum spatial measurement cosmic energy at relatively determine, namely to the difference of quantity quantum of the original spatial measurement and the spatial measurement limit of cosmic energy, to the quantity of quantum spatial measurement cosmic energy, to the situation of spatial measurement and spatial curvature relative time-space cosmic energy, to the difference of spatial measurement of the gravitation exceed the space-energy of quantum spatial measurement cosmic energy, to the situation of the average density spatial energy and the temperature spatial background of relative time-space cosmic energy, to the situation of spatial measurement and spatial curvature relative vacuum cosmic energy all at relatively determine.

在时空时间的每一个相对时刻点，是对宇宙能量的宇称量子的引力与空间能的守恒状况的相对确定。即是对宇宙能量的原初宇称量子与极限宇称量子的数量差，宇宙能量的宇称量子数量，宇宙能量的相对时空的宇称及空间的曲率状况，宇宙能量的宇称量子的引力大于空间能的宇称差，宇宙能量的相对时空空间的能量平均密度及空间的背景温度状况，以及对宇宙能量的相对真空的宇称及空间的曲率状况全都在相对地确定。

In reparametrization with arcs length, the curvature and torsion is invariant to translation and rotation transformation. The curvature and torsion are views as feature sets.

无论是二维碎片物体还是三维碎片物体的形状复原问题，皆看成是特殊的物体识别问题，其特殊性就是在处理的方法上采用基于轮廓线的匹配来识别。

We get some results about the scalar curvature of 2 and n(n≥3)dimensions Einstein manifold :ρ Maybe is constant and ρ is constant, the relation between Einstein Manifold and Riemannian Manifold with constant sectional curvature.

本文对其有关性质进行了讨论，得到了2维和n(n≥3)维爱因斯坦流形的数曲率的一些结果：ρ可能为常数和ρ为常数，以及爱因斯坦流形与常曲率黎曼流形之间的关系

In chapter 4,we consider the existence of harmonic function in negative sectional curvature manifolds.we get that,if Ricci ≥-C(1 + r~2)r =ρ(O.x, then there have non-canstant bounded harmnic function in negative sectional curvature manifolds.

第四章考虑负曲率流形上调和函数，得到了在Ricci≥-C(1+r~2)其中r=ρ的负曲率流形的调和函数的存在性。

Theorem 3 Let M~n be a compact totally real 2-harmonic submanifold in M~n which is a locally symmetric Bochner-Kaehler manifold.If Ricci curvature of M~n is nonegative and positive at a point at least,then the holomorphic sectional curvature of M~n is a postive constant number.

定理3设M~n是局部对称Bochner-Kaehler流形M~n的紧致全实2-调和子流形，若M~n的Ricci曲率非负且至少在一点为正，则M~n具有正常数全纯截面曲率。

The effect from transverse webs and frames and the effect from collision velocity on ship bow collision properties are also studied in this paper. 7. The idea of buffer bow is put forward from aspects of the overall situation of environmental protection and reducing the damage of struck shipside caused by striking bow. The influence of curvature of bow shape on mode of distortion, collision force, collision force density and energy absorption of bulbous bow is described detailedly through a series of collision numerical simulation for bulbous bows that have different curvature.

发现横向框架对于船艏结构的变形形态，碰撞力及能量吸收都有一定的影响，在进行碰撞分析时不能忽略，在较低的速度范围内碰撞速度对碰撞力及能量吸收没有太大影响，所以可以从较高速度撞击后得到的能量吸收曲线中得到较低速的碰撞能量吸收曲线，从而可以得到低速碰撞时的撞深，然后通过这个撞深在较高速碰撞的碰撞力曲线中可以获得低速碰撞的碰撞力曲线。

High-precision spherical components have been widely used in precision machinery and aerospace industry, and spherical curvature is one of determinant to the capability of optical components, and the measure of it is an important matter in the optical component manufacture. So the research of the high precision measurement of spherical curvature has important significance.

中文摘要高精度球面元件在精密机械和航天工业中的应用越来越广泛，在光学生产的加工制造过程中也大量需要对具有球面形状的透镜的曲率半径进行高精密测量的情况，因此，球面元件曲率半径的精密测量对高质量球面样板，光学系统的质量控制等方面具有重要的意义。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。