平面三角

Triangulation over a convex 2-D domain is implemented by advancing front technique and circumcircle optimizing method, while the triangulation over an arbitrary 2-D domain needs more restriction of the visibility between points.

对于边界已知的平面区域的三角剖分，按照网格前沿方法和外接圆优化准则实现凸边界的平面区域Delaunay剖分，而对于凹边界区域的三角剖分，需增加可见性判断准则，实现对其的三角剖分。

To solve the accuracy and the recognizing effect problems for fingerprint matching in the progress of fingerprint recognition, and considering the triangulation of cupidity algorithm in computational geometry and leading it into the fingerprint matching, a method for fingerprint matching which based on trigonometric grid is proposed.

针对指纹识别过程中的指纹匹配算法的准确性以及识别效果等问题，结合计算几何中平面点集的三角剖分方法－贪心算法的特点，将其引入指纹匹配处理，提出了一种基于三角网格（用贪心算法进行平面点集的三角剖分）的指纹匹配方法。

In this paper, the L(d,1)-labeling is studied and the upper bounds of λd of plane triangulation graph, solid tetrahedron subdivision graph, plane near quadrangle subdivision graph are derived, and as corollaries, the conjecture is proved to be true for the above several classes of graphs.

此文研究了作为L(2，1)-标号问题的推广的L(d，1)-标号问题，并得出了平面三角剖分图、立体四面体剖分图、平面近四边形剖分图的L(d，1)-标号的上界，作为推论证明了对上述几类图该猜想成立。

The method that combines the effective - field renormalization group with the discretized path - integral representation is extenged to study phase transition of the transverse Ising model in a quantum - spin system on the plane triangular lattice.

将离散路径积分表示下的有效场重整化群技巧推广应用于平面三角晶格上量子自旋横向Ising模型的相变研究，在这个方法中，注意区分了两种具有相同配位数而不同几何构形的晶体，并且考虑了起伏的影响，在二阶累积量近似下，得到了接近于精确解的临界值。

By means of spherical graphics and plane trigonometry, space angle and space point coodinates are calcullated for three sets of combined fixture s as examples.

运用球面图法及平面三角法，计算了三种组合夹具实例的空间角度及空间点的坐标。

By means of spherical graphics and plane trigonometry, space angle and space point coodinates are calcullated for three sets of combined fixtures as examples.

运用球面图法及平面三角法，计算了三种组合夹具实例的空间角度及空间点的坐标。

Solid visualization is a key issue for conceptual product design. we present a new "recursive" algorithm for triangulating the data points scattered in 3D planar region with arbitrary polygonal boundary and arbitrary number and shape of inner features, which is fit for the displaying of the conceptual solid.

提出一种针对任意多边形边界内嵌任意形状、任意多个内特征的"递归式"三维平面三角划分方法，该算法主要应用于产品概念设计中零件的可视化处理。

Triangulation of a set of scattered points on a plane is obtained by a novel algorithm, which generates the convex hull of it in the process of triangulation according to the property that the boundary of triangulation meshes coincides with the convex hull of the set of points.

对于给定平面散乱点集的三角剖分，根据平面三角剖分网格外边界与点集凸包重合的性质，实现了点集凸包和三角网格的综合生成。

Complete Principle of Measurement , as the basic literature of large calendar mathematics series Chongzhenlishu, was the beginning of the Western trigonometry, spherical astronomy and measurement into China, involving area, volume measurement, flat triangle, spherical trigonometry and spherical astronomy's theory as well as measuring instruments'applying. Complete Principle of Measurement embodies Chongzhenlishu's axiomatic mathematics and astronomy and makes a contribution to the further spread of the Western learning.

《测量全义》作为编撰大型历算丛书《崇祯历书》的基础文献，是西方三角学、球面天文学及测量术系统传入我国之始，涉及面积、体积测量，平面三角、球面三角和球面天文学的基本理论以及测量仪器的制造和使用等，是《崇祯历书》中公理化数学和天文学体系的体现，为西学的进一步传播做出了贡献。

On the geometric modeling, flat surface and curved surface are used to mesh and describe the model;on the electromagnetic modeling. Different basis functions( flat surface roof-top basis function, flat surface RWG basis function, curved surface roof-top basis function, curved surface RWG basis function) and different test functions (line-matching, Galerkin method) are applied to different cells(plat rectangle facet, triangular patch, Bezier patch, parametric surface, curved triangular patch etc.).

在几何建模方面，分别采用平面元和曲面元对模型进行了剖分和拟合；在电磁建模方面，针对不同的单元(平面元、平面三角元，、Bezier元、参数曲面、曲面三角元等)采用不同的基函数(平面roof-top基，平面RWG基，曲面roof-top基，曲面RWG基)和不同的检验函数进行处理。

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。