几何基础

In a digital environment where all the data sources are geometrically registered to a common geographic base, the potential for information extraction is extremely wide.

在数字环境下的所有数据源的几何注册到一个共同的地理基础，潜在的信息提取非常广。

On this basis, the geometrician Varignon suggested a true multiplication of the Eucharistic Bodies upon earth, which were supposed to be most faithful, though greatly reduced, miniature copies of the prototype, the Heavenly Body of Christ.

在此基础上，几何瓦里尼翁建议一个真正的乘法的圣体圣事的机构，一经地球，它被认为是最忠实，虽然大大降低了，微型份的原型，天朝基督的身体。

According to the feature of drawing crystal shape from gnomonic projection,a data structure (the single 3 table chain structure )is presented.

根据极平投影绘晶体形态的特点，建立了一种数据结构———单链三表结构，此结构由面表、线表、点表组成，能充分反映晶体形态的拓扑信息和几何信息，并在此基础上设计了一种适合于变换和消隐处理的数据结

In this dissertation, with the application to ancient buildings of the Leshan Grand Buddha tourist area and PingDu Sportpark, geometric optimized simplification and texture techniques are proposed and researched in detail, along with the analysis of the general characteristic of ancient and modern architectures. Optimized techniques such as Level of Detail, structure optimization, mapping optimization and texture-baked mapping optimization are researched specially.

本文在分析古代建筑与现代建筑特点的基础上，分别以乐山大佛景区古建筑群以及平度奥林匹克体育公园现代建筑仿真为例，深入研究分别适合古代建筑与现代建筑的几何优化与纹理优化技术，重点研究并建立了多层次细节优化、结构优化、贴图优化、实例优化与烘焙优化建模技术。

Based on the unified generation and description of GRR, this paper proposes one highly efficient network-filtration algorithm for object graphics recognition.

在几何识别规则统一生成和描述的基础上，提出了高效的约束网络过滤算法实现对象几何图形的识别。

The divergence angle is calculated based on geometry characteristics of two facula curves detected at the different positions to the laser. Facula curves are gained through scanning by two hemicycle probes which have different radius.

该方法以激光光束传输到不同距离处的2条光斑外缘曲线的几何特征为基础来求LD的发散角，而2条光斑外缘曲线分别由2个半径不同的半圆环探头的旋转扫描探测获得。

A geometric optical and radiative transfer model was proposed to simulate hemispherical gap frequency.

在此基础上建立了一个几何光学和辐射传输混合模型模拟半球空间的孔隙率分布。

Without complex 3D reconstruction processes, the implementation of the pointing system is based on image analysis, homography, and 3D geometry.

此系统避开以往复杂的三维重建方式，改以影像分析技术，平面投影转换及三维几何等数学理论，作为系统实作的基础。

This paper discusses the kernel of the system -- geometric model and includes the following:(1) The topological elements and the relation between them in geometric modeling system are explained and expressed by the theory of simplicial complex and CW-complex. In addition, the identification operators and homology theory in algebraic topology are used in our model. A hierarchical structure is built on the base of complex.

本文主要讨论这个系统的核心问题——几何建模问题，包括以下几个方面内容：(1)用单纯复形和CW复形的理论来解释和表达造型系统中的拓扑元素和拓扑元素之间的相关关系，并将代数拓扑中的粘合操作和同调论应用到模型中，建立以复形为基础的层次结构。

You can stitch all sorts of mathematical theorems onto these surfaces. The discovery of hyperbolic space ushered in the field of mathematics that is called non-Euclidean geometry.

在这表面上，你可以编织所有种类的数学定理；这双曲空间的发现开创了数学领域，就是所谓的非欧几里德几何；这实际上属於数学领域中广义相对论的基础。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。