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We proposed a general theory and method for objects recognition based on geometric features and studied its application under orthogonal transformation, similarity transformation and affine transformation.

提出了基于几何特征进行物体识别的一般理论和方法，分别研究了它在正交变换、相似变换和仿射变换下的应用。

The output beam divergence is a function of pumping power and geometric parameters of resonator.

多模激光器的输出功率对腔参数的变化是不灵敏的。

You hold your arms just outside 90 degrees so they form a triangle, which is one of the strongest geometric shapes.

你只要将你的手臂90度伸出，使它们形成一个三角——这是最坚固的几何形状之一。

Therefore, we use the pairwise geometric attributes which are the directed segment relative angle and directed relative position.

为此，引入了用于描述目标轮廓的成对几何特征即有向相对角和有向相对位置。

The paper aims at pairwise images that are known without camera calibration and any other geometric information.

该方法完全依赖于已知的一对视图来合成期间的变换视图，无需相机标定或其他几何信息。

In addition to adding color and texture, paneling's geometric grid brings an architectural presence to the room.

除了增加颜色和纹理，镶板的几何网格也带来了建筑的空间。

Based on the shape and the arrangement of the exposed part of pangolins, the scale-type wear-resistant geometric surface is designed with the pangolin as an object.

基于穿山甲的鳞片裸露部分的形状和排布作为仿效对象，来进行鳞片型耐磨几何表面的设计。

A multiple-step beams model was established to analyze the static stiffness characteristics of the double parallel four-bar mechanism with right angle flexible hinges based on the symmetry of the structure. Formula for calculating the static stiffness was derived by applying singularity function. On the basis of this analysis, the factors influencing the stiffness performance of the double parallel four-bar mechanism were studied from its geometric parameters, and the theoretical model was verified by finite element method.

根据其结构的对称性建立了静刚度分析的阶梯梁模型，引入奇异函数法推导了柔性双平行四杆机构的静刚度计算公式，在此基础上，分析了柔性双平行四杆机构各尺寸参数对其静刚度的影响，并采用有限元方法对理论模型进行了验证。

In the second part of this paper, by considering the geometric properties of some well-known classical Riemannian manifold and combining with results we had got, we give the definition of the parallel rays in a complete nocompact Riemannian manifold M, which are usual parallel rays when M is restricted to Euclidean space R.

本文的第二部分，基于对一些典型的黎曼流形几何性质的观察，结合已有的研究成果，我们首次给出了完备非紧黎曼流形上平行射线的定义，该定义在欧式空间中就是普通的平行射线。

Feature parameters are achieved by comparing the coefficient of standard representation and general representation. As for cone, parameter of general representation has no explicit geometric meaning and can not reflect design intent.

基于二次曲面的统一表示方程，采用最小二乘法进行参数拟合，通过对比其标准形式和二次曲面的统一表示方程，确定圆柱曲面特征带有明显几何意义的参数圆柱轴线法矢量、圆柱的中心和半径。

We got alerted a couple of times while we were down south that HETs were on the way to bring us back up north because things were going to go hot again, but it was just rumors.

南下的途中我们不只一次得到警告说重型装备运输车将拉着我们重新北上，因为局势正在变得重新紧张起来，但这只是谣传。

It's the one where they find the ghost in the salt mine.

这一集是演他们在盐矿找到鬼