查询词典 solid geometry

By using techniques from robust statistics, we obtain the approximations of the underlying surfaces. This leads to a conceptually good local patch with precise geometry properties, and as a result, the influence of noises is reduced. In addition, we also present a diffusion method to smooth the geometry properties, including principle curvatures and Frenet frame. The method ensures that the surfaces are smooth in the curvature space, and maintain the details, features and optimize the normals. The results show that, even in a high level noise situation, our algorithm can remove noise effectively, and at the same time keep the details of the model.

与传统的双边滤波去噪算法不同，该算法通过引入鲁棒统计理论获得模型表面较为准确的几何属性；进而在曲率空间中对包含主曲率和Frenet标架的表面几何属性进行各向异性的滤波，既有利于保持模型的细节，又能保证曲面的光滑性；与此同时，优化各个顶点的法向；最后在优化后的几何属性引导下，在几何空间中进行高阶双边滤波去噪。

It is also considered to study the Finsler geometry which deal with the Chern''s connection、flag curvature、Ricci scalar of Finsler manifolds、Finsler submanifold geometry, and harmonic maps between Finsler manifolds.

研究芬斯勒几何的某些问题，包括芬斯勒流形的陈省身联络、旗曲率、Ricci数量、芬斯勒子流形几何以及芬斯勒流形间的调和映射等。

Geometry pieces. Instead of having one geometry set influenced by many bones, the

通过在不同的模型块之间建立点连接对于创建相应骨骼体式一个行之有效的办法。

It was found:(1) the stability of the clusters increased with the bond number in the clusters;(2) the clusters with three dimensional geometry are more stable than ones with two decisional geometry;(3) the ionic potential of the clusters in gas phase and on the surface of the silver bromide grains are all positive, and the electron affinity are all negative.

结果表明；气相中团簇的稳定性随团簇中键数的增加而升高，三维构型的稳定性大于二维构型的稳定性；气相中Ag〓团簇的电离能都大于零，电子亲和势都小于零；溴化银颗粒表面的Ag〓团簇的电离势也是大于零，电子亲和势也是小于零。

Recently more than 10 years, a new fractal geometry, the space is not necessarily integral dimension, and the existence of a fractal dimension, which is a breakthrough in geometry, a mathematician and natural sciences were aroused great concern.

最近十几年的，产生了新兴的分形几何学，空间具有不一定是整数的维，而存在一个分数维数，这是几何学的新突破，引起了数学家和自然科学者的极大关注。

Based on the features of spherical geometry, the writer thinks thatit is an effective way for students to learn spherical geometry wellby "practising mathematics" themselves.

鉴于球面上的几何内容的特点，笔者认为使学生切身体会"做数学"是学好球面上的几何的有效途径。

In addition, the common high school mathematicalcurriculum standard regards spherical geometry as special subject 3 ofthe third optional series, which is set up to further improve the qualityof math students whoa re interested in mathematics and geometry withthe purpose of cultivating students imagination and geometric spaceabilities.

普通高中数学课程标准将球面上的几何作为普通高中选修系列3的专题3。

Spherical geometry;; spherical triangle;; non-Euclidean geometry;; Euler formula;; cognition;; SOLO taxonomy theory

论文导师张红，论文学位硕士，论文专业学科教学论文单位四川师范大学，点击次数 8，论文页数 73页File Size3160K

Results The four main mathematical branches in 17th century are considered roundly in the general view: analytic geometry,calculus,algebra and synthetic geometry.

结果17世纪数学形成四大分支———解析几何、微积分、代数和综合几何。

Through hang together the simplex data model based on dissection and conventional GIS data model, we develop a integrated and polymorphic model, object oriented unified model of tessellated simplex and conventional GIS, which convenient to inherit and congregate. The model manage the abstracted data accord to 4 level factor, that is geometry object model, topologic geometry object view model and geography object model.

论文采用面向对象的方法把基于剖分的单纯形数据模型与传统的GIS数据模型结合在一起，提出并建立了一个便于继承、组合、多态的较完整的三维数据模型与结构一面向对象的单纯形剖分与GIS一体化三维数据模型。

The receding calculations and experiment analyses in this subject are built on the blood cast of pig tongue.

本研究课题的前期工作是采用猪舌血管铸型模拟人舌而进行的数值计算与实验分析。

"Each human infection constitutes an opportunity for genetic modification of the virus through reassortment, mutation, or both...."

&每一次人类的感染都暗藏着一次基因修改的机会，无论是通过病毒的整合、突变或者兼而有之。。。。&