散乱

First, based on the criterion of Delaunay triangulation for the plane scattered points set, the article proposes the general triangulation for arbitrary scattered points in plane domain.

基于平面区域内散乱点的Delaunay三角剖分准则，本文提出一种适用于平面区域内任意散乱点的通用三角化算法。

Basing on the concepts and algorithms, some traditional algorithms, e.g. Delaunay triangulation for planar polygonal domain, constrained Delaunay triangulation for planar points and Delaunay tetrahedralization for spatial points, are improved.

通过上述概念和算法，改进了多边形Delaunay三角剖分、平面散乱点集约束Delaunay三角剖分和空间散乱点集Delaunay四面体剖分等基于生长算法的传统数据生成方法。

Based on data cloud, which is measured from 3-coordinate measuring machine or so, an algorithm to search lopological structure from 3D unorganized points using Envelopment-box technology is proposed in this thesis. Based on this method, we searching neighbor points of sampling point. We also improve the Max-Min angle criteria to realize local triangulation, and then get the normal of sampling point from the triangulation. Using the normal and neighbor relationship, classification of scattered data points is realized according to the quadric surface.

本文以测量得到的曲面数据点点云为基础，提出了一种基于包围盒的自动寻找三维散乱数据点之间拓扑结构的方法，采用该方法寻找采样点的邻域结点，并对三角剖分中的典型优化准则—最小内角最大准则提出了改进，按照改进后的优化准则实现了采样点的局部三角划分，并进一步求解得到采样点的法向量，依据法向量及邻域拓扑关系在二次曲面的基础上实现了散乱数据曲面重构中的数据点的自动分类。

In order to deal with the trend of increasing large scattered data points set in reverse engineering, a space partition strategy with its corresponding data structure and encoding method was proposed to improve the triangulating and search efficiency.

根据逆向工程中散乱数据点规模越来越大的趋势，为缩小剖分时搜寻和遍历数据点的空间范围，提高算法效率，提出了一种大规模散乱数据的空间划分方法及相应的数据结构和编码方案。

The detail procedure is that induct the control parameter δ and η to get specific 3D scattered points sub sets under in some conditions,then evaluate each scattered points sub set to extract the control points,and build up the boundary which is formed by the control point.

具体的过程，是通过引入控制参数δ和η，将满足相应条件的3D散乱点划分到相应的子集合中，然后对各个散乱点子集合进行判断，提取其各个子集上的控制点，构造各个子集的控制点构成的边界。

The shortest path approximation algorithm builds a weighted graph from the given set of scattered points using the distribution of these data points. By computing the shortest path in the weighted graph, the problem of curve reconstruction from scattered data points is transformed into that of curve reconstruction from a set of ordered data points.

最短路逼近算法首次将图论中最短路径理论引入到曲线重建中，根据散乱数据点的分布构造带权连通图，通过求解带权连通图的最短路径，将散乱数据点集的曲线重建问题转化为有序数据点集的曲线重建问题。

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。

The skill of Dhyana samadhi can destroy your scatteredness.2. We can adorn Bodhi and gather in living beings.

第一，你修禅定，可以破你那个散乱心，你尽打妄想的心，可以用那个禅定的功夫来把它降伏了，所以破散乱的心。

At first, the typical 2D and 3D triangulation algorithm of scattered points is discussed in this paper. Then, a space partition strategy with its corresponding data structure and encoding method is proposed by the author in order to improve the triangulating and searching efficiency according to the trend of larger and larger points set.

本文在详细研究和分析了典型平面及空间散乱数据三角剖分算法思想后，根据散乱数据点规模越来越大的趋势，提出了一种大规模散乱数据的空间划分方法及相应的数据结构和编码方案，缩小了在剖分时搜寻和遍历数据点的空间范围，提高了算法效率。

Because the error mainly comes from theresonant region, the error correction method can only be used in resonant region, andcan effectively improve the efficiency of the statistical analyzing solutions. Two types of the mistuned bladed disks, whose friction damping are blade dryfriction damping and blade-to-blade dry friction damping, are modeled respectively. Amulti-harmonic method which can employ the fast Fourier transformationtechnique is proposed to investigate the vibratory response of the bladed disks withthese two types of nonlinear friction damping. Formulations of the solution for thesetwo types of motion functions are deduced. The characteristics of the forced responseof the bladed disks with these two dry friction damping are analyzed and summarizedunder various system parameters. The vibratory response of the bladed disk with dryfriction scatter mistuning is investigated.

针对叶盘系统中两类主要的非线性干摩擦阻尼形式，分别建立了具有叶片干摩擦阻尼和叶间干摩擦阻尼的失谐叶盘系统的非线性力学模型；提出了一种可利用快速傅立叶变换技术的多谐波分析方法；分别推导了具有这两类干摩擦阻尼形式的叶盘系统运动方程的求解公式；在各种系统参数条件下，研究了干摩擦阻尼失谐叶盘系统的受迫振动响应特性；对具有干摩擦散乱失谐的叶盘系统振动响应进行了研究，分析总结了干摩擦散乱失谐对叶盘系统振动响应特性的特殊影响规律。

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。