平面三角

We construct the algorithm of three-dimensions model surface reconstruction in three stages: first, we use Oct-tree to describe scatter data points in space, second find adjacent points and tangent plane and use the triangulation method to realize 3D surface reconstruction in the end, in research on algorithm of three dimensions model surface reconstruction based on scatter data points.

在"基于散乱数据三维表面算法的研究"这一章中，首先通过八叉树的数据结构的算法对三维散乱数据进行处理，然后再确定邻点和微切平面，最后用三角网格化的方法完成三维物体表面重构。

On the basis of the triangulation of 3-D scattered data points, partial derivatives and tangent plane on each point were estimated.

基于离散数据的优化三角划分，本文还系统研究了每一点处偏导数和切平面的计算。

By generating the closed form "triangular" Groebner Bases, the closed form symbolic solution has been obtained. An example of synthesis of planar rigid body guidance is given to demonstrate the strategy and efficiency of the method.

在生成该系统的封闭形式的"三角化"的Groebner基的基础上，求出了问题的封闭形式的符号解，以平面铰链四杆机构的刚体导引综合问题为例，说明该方法的思路及有效性。

Triangulation of the point-set in the plane is one of the basic algorithms in computer graphics.

平面点集的三角剖分是计算机图形学中一个比较基本的算法，它的用途非常广泛。

The copper ions showed four different coordination numbers and geometrical structures. 4 coordination, planar quadrangle; 5 coordination, tetragonal pyramid; 6 coordination, octahedron; 7 coordination, triagonal bipyramid.

晶体结构分析表明，该配合物中存在 [Cu2]2+、[Cu2(H2O)]2+和[Cu6(H2O)65Cu24]4-三种配位离子，铜原子呈现四种不同的配位数和几何构型，它们是：4配位的平面四边形；5配位的四方锥型；6配位的八面体型；7配位的三角双锥型。

Structure analysis indicates that it crystallizes in triclinic, space group P1, a =9.554(3)A, b =10.4874(18) A, c =14.027(2) A,α=91.873(15)°,β=91.879(19)°,γ=92.86(2)°. The polymeric anion of [(CH3)4N]As3S5 consists of adjacent 1∞[AS3S5]- chains linked together into a 1∞ [As6S10]2- double chains through planar As2S2 rings . A relatively undistorted Ψ-AsS4 trigonal bipyramidal geometry is observed for the participating As atoms.

b=10.4874(18)，c=14.027(2)，α=91.873(15)°，β=91.879(19)°，γ=92.86(2)°。化合物[(CH_3)_4N]As_3S_5结构中聚合阴离子由邻近的~1_∞[As_3S_5]~-通过平面环As_2S_2连接形成~1_∞[As_6S_(10)]~(2-)链，这种链通过每第二个结构单元环状As_3S_3结构单元的As原子连接组成双链结构，其结构中可观察到赝三角锥配位的ψ-AsS_4。

We prove that a diagram can be drawn with conicoid sequentially if and only if it can be described by a set of triangular equations of degree less than nine.

同时证明了一个三维几何图形可以用平面、球面和圆锥曲面构造出来的充分必要条件是这个三维几何图形可以用一个三角化的次数小于9的代数方程组来描述。

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In the course of program designing, OLE mechanism and Graph for Windows have been used to generate specific geological triangular chart from computer instead of manual work in before. By using PowerBuilder 7, inquiry through a clue of combination of conditions including structural tree, strati graphic tree, well number tree and sample number tree is realized, which meets the thinking way of geologists.

在程序设计方面，针对岩石名称分类复杂、量化定名烦琐的现状，采用OLE机制和Graph for windows图形工具，对岩石含量数据进行相对数值转换，完成了平面上呈三角形排列的三个直角坐标系统的叠加，避免了人工绘制地质三角图随意性大、精确度低的问题，极大地提高了工作效率。

The ligands are tridentate and bridge across the Ag〓 triangles with bridging S atoms occupying all three edges of these trans-oriented triangles.

三齿配体通过硫原子形成了跨过Ag〓三角平面的三条边的桥键。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。