球面

The matrix inhomogeneous eigenvalue problem is widely applied in mathematics and many other fields,for instance,the studies of the stability of solutions of linear differential equations and the stationary values of a second-degree polynomial on the unit sphere,and the constrained eigenvalue problem and so on.

矩阵非齐次特征值问题在数学和其他领域里有许多应用，如线性微分方程组解稳定性研究，球面上二次函数的稳定点求解及约束特征值问题等。

This paper addresses the problem of spherical parameterization, i.e., mapping a given polygonal surface of genus-zero onto a unit sphere.

考虑零亏格网格的球面参数化问题，即将给定的零亏格多边形曲面一一映射到单位球面上。

Given a manifold triangle mesh with zero genus and arbitrary topology, it is globally parameterized over the unit sphere S2 in E3 firstly.

对于给定的具有任意拓扑结构的零亏格三角形网格，算法首先将其在单位球面上进行全局参数化得到一个参数化网格。

Normal vectors, Gaussian and mean curvatures estimation are obtained by different curvatures estimation methods, and the error is computed by comparing estimation results with real ones on the sphere of unit radius and toms.

在单位球面和环面上，利用不同的曲率估计方法得到法向量以及高斯曲率，平均曲率的估算值，再将估算值与实际值做比较求误差。

Computer-aided alignment of a wide-field three-mirror, unobscured, high-resolution sensor.

离轴非球面三反射镜光学系统装调中计算机优化方法的研究。

With the aid of Zemax software, a three-mirror, unobscured, high-resolution optical system with large aperture, long focal length was successfully aligned by first collecting interferograms from several fields of all image plane, and obtaining the wavefront error, namely, obtained wavefront Zernike polynomials; then using the self-made program package to calculate the optical system misalignment.

利用Zemax光学设计软件与自编计算机辅助装调软件，实现了对大口径、长焦距、无中心遮拦离轴三反射镜光学系统的装调。通过Zemax软件模拟光学系统的失调模式，得到整个光学系统的波前像差，把波前像差代入到自编的复杂光学系统计算机辅助装调软件中，计算出光学系统的失调量，与引入的失调量对比，证明了其正确性。在实际的装调过程中，用小型球面干涉仪分别收集3个视场的干涉图，得到失调光学系统的失调量，用Zemax软件验证失调量数据的正确性，从而指导装调。

As such a complicated shaking table experiment, the work performed in the paper is unwonted in China and has some reference value.

如此复杂的大跨度单层椭球面网壳振动台试验研究在国内是少有的，有一定的参考价值。

As the most important factor in the proposed calibration methods, vanishing point are addressed through the whole paper.

该方法既不需要将直线投影到球面坐标，也不需要对大量直线作统计特性分析，当存在大量多余直线观测时，这种平差方法可快速、准确地计算出灭点的最优位置。

Also, especially when aspherical elements are involved, an effective way to vaporize excess cash for almost no good reason.

当引入了非球面镜片后，便成了一个有效的，没有理由的，快速蒸发你的金钱的途径。

With a precise method of vector calculation, the same function equations are obtained.

这是建立球面坐标系中的非连续变形分析数学模型的基本关系式。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐