为了解决这些困难，本文提出了一种基于渐进简化的多分辨率几何简化与压缩方法。
To resolve these difficulty, this paper proposes a multiresolution simplification and compression method which based on progressing mesh simplification.
本文实现一种算法，不仅能进行几何简化，还能简化模型的表面属性，包括：颜色和纹理。
In this paper, we present the implementation of an algorithm, which can handle not only geometric simplification of models but also that of surface attributes, such as colors and textures.
那将是个不错的练习，但是你看到了，用几何确实帮助你简化了计算。
It's a nice exercise. But see, here, using geometry helps you to actually streamline the calculation.
住宅的装饰采用了最简化的处理。该项目并不是通过定义其每个表面的复杂角度的几何形状来表达。
The home's decor is kept at a minimum. The house is instead expressed through the complex angled geometries that define its every surface.
现有的递进网格生成算法不仅效率低，而且大多只能完成几何特征的简化，没有考虑网格模型的其它表面属性。
Current algorithms for generating progressive meshes often have a low efficiency and can only complete the simplification of the geometric characters, without considering the other surface attributes.
推荐铁路列车运行噪声几何发散损失计算采用偶极子指向性特性的理论计算公式或简化公式。
It recommends that the calculation of geometrical spreading loss of running trains noise adopt the theories calculation formula or the simplified formula of directional characteristic of dipole.
运用简化铁道车辆模型，对几何滤波现象进行了分析。
The geometry filter phenomenon is analyzed with a simplified vertical railway vehicle.
首先通过简化各种轴系元件，对主轴系进行几何建模。
First, geometrical modeling of basic shafting by simplified components in every shafting was built.
结果提示，背索突触后神经元具有相对简化的几何构筑和相当复杂的局部突触回路。
The results indicate that dorsal column postsynaptic neurons possess a relatively simplified geometric organization and a considerable complexity in their local synaptic circuitry.
几何维数的急剧减少导致数字分析的极大简化。
The drastic reduction in the geometric dimension leads to great simplification in mathematical analysis.
对铜母线连续挤压过程的几何模型进行简化，基于MSC。
By simplifying the geometry model of the copper bus bar continuous extrusion process, based on a new metal forming simulation package, MSC.
应用这种新的理论可以使干涉和输入过于复杂的交通系统用几何控制方法得以简化，为系统控制提供实用的理论，并讨论了其应用的可行性。
The application of this new theory can simplify the complicated traffic system and provide a useful theory for system controlling. Meanwhile discusses the feasibility of its application.
在细微边界元识别和细微特征分解交替进行的过程中，任意用边界表示法表示的几何模型可逐步简化到任意程度。
In the cycle of detailed boundary entities recognition and detail feature decomposition, an arbitrary solid model which is represented as B-Rep model can be simplified to any level.
其中，对燃烧器的复杂几何形状没有进行任何简化，实现了包括炉膛的结构化网格划分。
Structured grid is made with no simplification and modification of the complicated structure in the hearth and burner.
这种方法极大地简化了分析和演算，并为应用微分几何控制方法打下了必要的基础。
The approach largely simplifies the system analysis, and build a necessary basis for the application of differential geometric methods.
该方法在实际应用中简化了复杂的测量过程与计算，从而提高了对几何测量的工作效率。
It simplifies the complicated measures and calculation as well as raises Labour efficiency in the geometric calculation and measure work.
在三维应力空间，采用解析几何的方法，导出了莫尔-库仑等面积圆屈服准则的简化形式。
In 3-d stress space, simplified form of Mohr-Coulomb equivalent area circle yield criterion is derived by adopting analytic geometry method.
方法根据简化眼屈光学原理，应用几何学计算方法进行后囊有效光学区的面积计算。
Methods According to the refraction of the simplified eye, the posterior capsulorhexis area was calculated by geometric method.
由微分几何基本公式导得圆弧曲线梁中预应力等代荷载的精确公式，预应力钢索在曲梁中竖弯与平弯均较平缓，此时公式可得以简化。
A precise formula for equivalent load of prestressing force in curved girder of arc form is derived from the fundamental formulae of differential geometry.
通过构建几何模型，推导出蜗杆车刀头部的计算公式，简化了计算程序。
Via the construction of geometric model, calculation formula for the head of worm lathe tool has been deduced, which has simplified calculation program.
针对散乱点云简化时经常丢失过多的几何特征，提出一种保留几何特征的简化方法。首先采用均匀栅格法划分点云空间；
Geometric feature always being lost excessively in the simplification process of scattered point cloud, a simplification method with geometric feature reservation is proposed.
用法线和法线平面确定空间平面位置的方法，将复杂的空间几何问题简化为平面几何问题。
Through the method in which a plane in space can be determined by normal and normal plane, the complicated problems in space geometry can be imaged into the problems in plane geometry.
组合体可以理解为机器零件进行了必要的简化，去除了铸造圆角、技摸斜度以及工艺结构，是“几何化”了的机件。
Assembly can be understanded as the necessary simplification of machine accessory, the wiping off of foundry round corner, craftwork structure, etc, which is the geometrical work.
从多边形场景和复杂几何模型的应用角度对最新简化算法的优劣性进行了比较并对未来的研究趋势进行了展望。
We compare the most recent algorithms and state their qualities weakness based on the classification of polygon scene simplification and complicated 3D model and prospect the future research.
基于几何模型的视点相关多分辨率地形简化算法及其在数据呈带状分布情况下的扩展算法；
The simplified algorithm of view-point related multi-resolution terrain and the extended algorithm while its data are distributed like a band;
并对其生成的表面几何模型所包含三角面片数量巨大的问题，提出一种快速有效的三角形边收缩算法进行网格简化，提高了表面模型的绘制速度。
Because 3D surface model contains huge number of triangles, a mesh simplification algorithm based on triangle edges shrinkages is presented in this paper to speed up the rendering in real time.
将反向旋转的高低压涡轮盘简化成了几何形状相对简单的反转盘系统。
The contra-rotating turbine disks of an aero-engine were simplified as a counter-rotating plan disk system.
将反向旋转的高低压涡轮盘简化成了几何形状相对简单的反转盘系统。
The contra-rotating turbine disks of an aero-engine were simplified as a counter-rotating plan disk system.
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