查询词典 curvature invariant

The Point Spread Functions of every space-invariant blur in the multiple blurred images are combined together by convolving all the linear PSFs to reduce the accumulation of calculation errors during the image restoration,so that the multiple blur made up of the space-invariant blurs can be eliminated by a deconvolution restoration.

对空间不变模糊的点扩散函数进行合并，减少多重模糊恢复过程的计算误差累计，通过一次解卷积运算实现多重空间不变模糊图像的恢复。

We then introduce a conformal invariant quantity which is formulated in terms of the square of the length of the trace free part of the second fundamental form and the mean curvature, and prove that if this quantity is bounded above by that value of the Clifford torus then x is either a totally umbilical sphereor a conformal Clifford torus.

接著我们介绍一个由第二基本型式迹为零部份的张量长度平方与平均曲率形成的保角不变量，并证明此保角不变量的上界若为Clifford环面之值，则x不是全脐球面就是Clifford环面的保角类。

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

And the induced normal curvature along the normal of contact line between the worm and the planet is obtained. The algebraic expression of the induced normal curvature at the top point of the ball-tooth is given.

另外，对行星轮与环面蜗杆沿接触线法线方向的诱导法曲率进行了求解和分析，给出了诱导法曲率在球齿齿面顶点时的代数式显式表达。

On the basis of OCM, segmentation based on curvature radium is presented in the paper, in which curvature radium is calculated using parametric-surface fitting, and detecting edge points is realized from orthogonal direction, which ensure the integrality of edge points. Since the data is organized by cross-line in OCM, a new arithmetic, Double-direction Angle Difference arithmetic, is brought forward, which can pick up edge points more quickly.

物体的表面一般由多个曲面相交组成，要建立完整的几何模型，需要对测量数据进行区域分割——区分不同曲面的数据，现有的区域分割大多是对单视图的图像式测量数据进行的，但完整的CAD模型需要联合多个视图产生，本文在上面提出的三维正交模型的基础上，提出了三种区域分割方法：第一种方法是基于曲率半径的数据分区方法，通过二次参数曲面拟合计算局部曲率半径，从正交的多个方向进行检测，保证了边点提取的完整性。

Methods(1)4 cities were chosen randomly according to their economic status and geographical location.(2)An autorefractor was used to detect the diopter in the preschool children from 20 kindergartens randomly selected from each of the 4 cities.(3)1%atropine ointment was applied to the c onjunctival sac of the children with suspect myopia for 3 days and the refractio n of light in their retina was then examined by a barred beam skiascope.(4)The eye axis and corneal curvature of the myopic children were measured.(5)The diop ter,eye axis,and corneal curvature were examined every 6 months during 1-year f ollow-up after the diopter was properly rectified.

(1)依经济状况和地理位置按随机原则抽取4市县；(2)从4市县中各随机选择20间幼儿园，对所抽取的在园学龄前儿童用自动屈光仪进行屈光筛查；(3)可疑近视患者予以1%阿托品眼膏涂双眼3d，由专人用带状检影镜进行视网膜检影验光；(4)确诊为近视的患者自愿进行角膜曲率和眼轴测量；(5)近视患者经适当的屈光矫正后，按要求进行为期1年的前瞻性随访，每半年进行1次屈光状态、角膜曲率和眼轴的检测。

Hausdorff convergence; almost nonnegative Ricci curvature; Betti number; harmonic 1-form; nilpotency; splitting theorem; positive sectional curvature; gradient curve

基础科学，数学，几何、拓扑Hausdorff收敛；几乎非负Ricci曲率；贝蒂数；调和1-形式；幂零指标；分裂定理；正截面曲率；梯度曲线

Firstly, the method fits each vertex and its local neighborhood of the clothing and human models by constructing the biquadratic Bezier surface. It can estimate the Gaussian curvature and the mean curvature of each vertex. Then, the feature points of two mesh models are extracted according to curvatures.

该方法基于双二次Bezier曲面局部拟合服装模型和人体模型的网格顶点及其邻近点，估算出人体和服装模型网格顶点的高斯曲率和平均曲率，然后提取出人体和服装模型两点集的特征匹配点。

Curve C at the spot P(x0, y0) curvature is the maximal circle of the curve C tangency at the spot P(x0, y0). Contrail curve G of the center D of curvature circle entitles evolute of curve C.

曲线C在点Px0，y0）曲率圆是与该曲线C相切于点P(x0，y0的最大圆，曲率圆的圆心D的轨迹曲线G称为曲线C的渐屈线。

Curvature is 100 feet long curve corresponding to the central angle, curvature and inversely proportional to the radius.

驾驶员所能看到的前方行车道上最大距离称为视距。

Great. What repertoire did you see?

太棒了。你看的是什么剧目？

I prepared not to accept such ridiculousness:"Please," I said to him.

我可不想理会这套荒谬的东西："请你通情达理一点儿。"