椭球面

针对将大发散角LED的光高效会聚到光纤接收端面的需求，提出了一种椭球面和聚光透镜组合光学系统设计的思路。

With large divergence angle LED light efficiently converges at the optical fiber receiving end demand , an ellipsoid and focusing lens combination optical system design method is proposed .

本文以参考椭球面为边界研究变分情形下S-N类混合边值问题的适定性。

The proper determination of S-N mixed boundary value problem on the reference ellipsoid is studied in this paper .

本文给出了用首都圈GPS地形变监测网1995～1996年椭球面上的位移求得的应变量。

Strain patterns are obtained from displacements in the GPS network for crustal deformation observation in Beijing area .

椭球面上真3维坐标系在3维GIS中的应用理论及方法研究

Research on the Theories and Technologies of Applying True 3D Coordinate System on the Ellipsoidal Surface to 3D GIS

一类R~n空间上旋转椭球面簇的广义Radon变换

Generalized Radon Transformation along a Family of Rotating Ellipsoids in R ~ n

基于此种坐标系在椭球面上建立DEM不同于基于地图投影概念的DEM。由于并未经过从椭球面到平面的投影，从而避免了投影变形。

The DEM in the new geodetic coordinate system on the ellipsoidal surface is different from the DEM in the projection plane .

另外，用该方法也可得到椭圆弧曲线段和椭球面曲面片的参数Bézier多项式逼近式。

Furthermore , by using this paper 's method , The parameter B é zier form polynomial approximants of elliptic arcs and ellipsoid patches can be presented .

讨论了有限维Hilbert空间HN上对于任意给定的椭球面εT，长度为M（M≥N）的椭球紧框的构造和刻画；

We discuss the construction and characterization of tight frames with length M ( M ≥ N ) and whose elements lie on an arbitrary ellipsoidal surface ε _T within a finite-dimentional Hilbert space H_N .

在这些理论基础上，采用逐点插入算法在椭球面上建立Delaunay三角网，并使用Visualc++和OpenGL对建立的数学模型实现了三维显示。

In the theories , author used the arithmetic of inserting point by point to constructed Delaunay triangulations and used Visual C + + and OpenGL to displayed the 3D digital model .

本文通过空间解析几何分析，证明了粉末烧结材料屈服函数在n平面、Pπ平面和Pσ平面上的粉末烧结材料屈服面截面轮廓曲线都为椭圆，在主应力空间中形状为椭球面。

In this paper the elliptical cross sections of yield function of sintered powder materials in planes of π, P_ π and P_ σ are verified by three-dimensional geometrical analysis , and elliptical sphere of yield function in principal stress coordinates is deducted .

特殊曲面是指那些具有一些特殊几何性质的曲面，如球面、椭球面、Bezier曲面、圆环面、管道曲面等。

The special surface is the surface which has some special geometric properties , such as sphere , ellipsoid , Bezier surface , torus , canal surface and so on .

对18个直角角焊缝进行了基于椭球面强度模型的数值模拟，以建议的椭球面断裂模型为判据，得出了等效考虑焊接缺陷和残余应力的断裂因子CI修正系数κ值。

Eighteen fillet welds were simulated numerically based on the ellipsoidal strength model . By contrast with test results , the revised coefficient k of crack index CI was proposed for the suggested ellipsoidal fracture model considering welding defects and residual stress .

考虑椭球面Nn中以极小超曲面M为边界的区域上的Dirichlet问题的解，并得到了相应解的Poincare型不等式，进一步给出了M的第一特征值的下界估计。

The solution of a certain Dirichlet problem on a domain in ellipsoid whose boundary is a minimal hypersurface is considered . A poincare type inequality for the corresponding solution and an estimate for the first nonzero eigenvalue are obtained .

n维椭球面中极小超曲面的第一特征值的估计

Estimates of the First Eigenvalue of Minimal Hypersurfaces on n-dimensional Ellipsoid

椭球面梯形面积的正反算问题研究

Research in forward and inversion algorithm problem of ellipsoid trapezoid area

地球椭球面上另一种形式的测地坐标系的建立

Establishment of Another Form of Geodesic Coordinate System on Earth Ellipsoid

n维椭球面内接平行多面体的最大体积

Maximum Volume of Parallel Polyhedron Inscribed in Ellipsoid in R n

数控车削椭球面通用宏程序的编制与应用

Programming and Application of Universal Macro Program of CNC Turning Ellipsoid

球面离散网格在椭球面上的扩展及变形分析

Projection of spherical grid on ellipsoid and analysis of its deformation

参考椭球面上的水平形变网平差

Adjustment of horizotal deformation network on the ellipsoid reference information

椭球面屋盖与圆锥面玻璃幕墙的风压分布特征

Wind Pressure Characteristics of Ellipsoidal Surface Roof and Conical Surface Glass Gladding

光在扁旋转椭球面上的成像研究

A Study of the Image of Light on the Flat Rotational Ellipsoid

平面与椭球面、椭圆抛物面的交线

Construction of the Curve That a Plane Intersects an Ellipsoid or Elliptic-paraboloid

大跨度单层椭球面网壳结构静、动力性能研究

Research on Static and Dynamic Behavior of Large-Span Single-Layer Ellipsoid Reticulated Shell

快速成形磨削原理与椭球面钻型的快速刃磨成形

Research on Principal of Rapid Contour Grinding and Molding Grinding for Ellipsoid Drill

大跨椭球面层盖和圆锥面幕墙组合结构的风效应研究

Study on Wind Effects on Long-Span Ellipsoidal Surface Roof and Conical Surface Gladding

因此，该公式的适用范围可由椭球面三角形推广至椭球面上任意凸多边形。

The formula can also be applied to computing convex polygon on ellipsoid .

旋转椭球面折射成像的球差研究

A study of the spherical aberration of refracted image on the rotational ellipsoid

浅埋现浇钢筋混凝土椭球面扁壳设计研究

Research on Design of Shallow-earthed Cast-in-place Concrete Elliptical Oblate Surface with an Elliptical Bottom

区域椭球面上数字高程模型的建立

New DEM Based on Surface of Regional Ellipsoid