查询词典 geodesic curvature

In this paper, the principle and method of 3D visualization by geodesic coordinate system of ellipsoidal surface are proposed.A three-dimensional model for geographic information system visualization by ellipsoid-based digital terrain model is suggested for the first time.

虽然三维GIS在理论研究方面已经有了很大进展，但实现一个成熟完整的三维GIS系统还是相当困难的，目前在实际应用中与三维GIS相关的大多集中在三维可视化方面，如城市三维景观模型[1～ 3] 、矿区模型[4 ] 等。

This digital terrain model based on the ellipsoidal surface is essentially different from DTM based on projected plane because the Delaunay triangulation net is built based on geodesic coordinate system on regional ellipsoidal surface .

在椭球面上构建Delaunay三角网，与在平面上构网有不完全相同的定义与算法。

Furthermore, under the assumption that the covariant derivative of the sectionssatisfies the Lipschitz condition with L-average along the geodesic, the estimates of the radiiof convergence balls of Newton\'s method and uniqueness balls of singular points around thesingular points of sections on Riemannian manifolds are given.

当截面的协变导数满足沿着测地线的关于取正值非减可积函数L-平均的Lipschitz条件条件时，本文给出关于截面的Newton法的收敛球半径的估计，及在奇异点附近的关于截面的奇异点的唯一性球的半径的估计。

Under the assumptionthat the covariant derivative of the sections satisfies the Lipschitz condition with L-averagealong the piecewise geodesic, a unified convergence criterion for Newton\'s method and theradii of the uniqueness balls of singular points around the initial points of sections are es-tablished.

本章的主要内容包括以下两个方面：当截面的协变导数满足沿着分段测地线的关于取正值非减可积函数L-平均的Lipschitz条件条件时，本文给出了关于截面的Newton法收敛的统一判据，同时给出了在初始点附近的关于截面的奇异点的唯一性球的半径的估计。

In Chapter Six two basic methods to find geodesic lines of arbitrary curved surface are discussed.

膜结构裁剪问题是膜结构在实际设计中必须要解决的问题。

First, this paper, in the field of intrinsic geometry, studies the geometric problems on garment design, as well as applies the frame and semi-geodesic coordinates to prove the fundamental theorem of being a developable surface.

文中首先在内在几何学的层次上，研究了服装设计所涉及的几何学问题，应用标架与半测地坐标方法证明了曲面成为可展面的基本定理，研究了可展面的分类及其性质，考虑到服装三维几何造型的需要，证明了组合式可展面各组成片相切连接条件的命题，作为构造可展面的理论依据，证明了单参数平面族的包络面必为可展面的命题，在此基础上发展出服装几何造型的"刮大白"方法以及相关的三种构造可展面的解析方法。3D→2D的变换是三维服装CAD的重要内容之一，其几何学实质是曲面的定长映射，文中总结了定长映射即可展面在平面上展开的基本准则，在这一准则的指导下，结合服装设计与相关领域的要求，讨论了可展面在平面上展开的解析方法与数字方法，上述内容确立了服装设计几何学的基本框架。

Today, there are about one hundred thousand different large and small geodesic domes in use around the world.

今天，大约有10.0万不同的大，小世界各地使用的测地圆顶。

It is impossible to logically infer the classically expressed geodesic differential equation from the ontology differential geometry. Besides, the initial proposition how to construct a functional extreme value problem for the shortest curve on a surface, which was supposed first by Gauss, would be an improper formal expression with a wrong premise.

不仅仅无法由"实体论"微分几何逻辑地推导出经典的测地线方程，而且Gauss曾经为"曲面上最短线"问题所构造的泛函极值命题，实质上属于一个"前提认定"完全错误的不当表述。

The distributing function of geodesic lens mode field w as established in this paper.

本文建立了波导短程透镜的模场分布函数，给出了波导短程透镜和单模光纤的耦合效率表达式，同时在实际中测得波导短程透镜和光纤的耦合损耗大约为 7db。

The extended trapezoidal rule method is also applied for the differential equations of geodesic described by geodetic coordinates .

本研究也将广义梯形数值积分法运用在大地坐标系中，分别对变化大地线长度、起点位置及起始方位角来进行分析。

These rules reflect some inherent feature of self and nonself, and they are the basic detection criterion of GECISM.

这些规则反映了"自我"和"非我"的内在特征，是GECISM进行"非我"检测的判据。

Until today, the media from China and the outside world still uses the term "Post 89". Regardless to whether it is for commercial gimmick or convenience, everybody still remember "Post 89", a term which carries a strong Cantonese accent.

时至今日，国内外艺术媒体还是在沿用&后八九&这个称谓，不管当初是为了商业噱头还是容易上口好记，反正大家现在是记住了&后八九&这个广东口音很重的词。