The main research works of the dissertation are as follows : 1 ) preprocessing technology of unorganized diserete points : the relative research works were focused on two issues : boundary extracting from unorganized discrete points and generating of original surface , boundary extracting were realized on the basis of rules that disctete points are on the form of triangular mesh and the number of neighbor triangle of border points and inner points are different 论文的主要研究内容如下: 1 )离散数据点集的预处理技术研究了离散数据点的边界检测和初始曲面拟合问题。离散数据点的边界检测是根据有限元分析所得到的三角网格离散点,利用它的特点,使用离散点的相邻三角网格的个数判断是否是边界点。
Aiming at the existed problems in reverse engineering techniques concerning triangulation method for scattered data points , display technique of three dimension model based on mesh simplification , and redesign technique for re - constructed surface etc . , this paper studies and proposes the relevant solving schemes , key algorithms and realizing technologies . the chief contributions acquired by this paper include : ( 1 ) an effective 3d triangulation algorithm for scattered data points is put forward . this algorithm solves the problem that data points must be partitioned for multi - projection realized by traditional 2d triangulation methods , and can also triangulate the scattered data points of trimmed surface and concave boundary surface 本文工作针对散乱点集的三角网格划分及优化、基于网格简化的真实感模型显示,以及重构曲面再设计等反求工程的关键技术中还存在的诸多问题,提出了相应的解决方案,并对关键算法和实现技术进行了深入研究,论文的主要成果包括: ( 1 )提出了一种有效的散乱数据点集的3d空间直接三角网格划分算法。
The constructed surface is c2 continuous on the whole domain , and is a piecewise cubic parametric polynomial on every subdomains . the interpolating surface can preserve the convexity , concavity , inflection property and monotonicity of the data set . in the end , each algorithm brought forward in the paper is exemplified , at the same time , error is discussed 3针对保形曲面插值问题,提出了一种插值于给定数据点集的参数型保形曲面插值算法,所构造的曲面在整个区域上是c ~ 2连续的,在每个子区域上是分片三次参数多项式,并且保持被插函数集的所有子区域的边界及其内部的轴向单调性、凸凹性以及拐点性质。
数据: data; record; information点集: point set; point-group; set ...数据点: data point; point/points分散数据点: scattered data point邻近数据点: neighboring data points散乱数据点: unorganized points数据点格式: format data point新增数据点: new points选定数据点: selected data point选取数据点: data point穴数据点: selected data point业务数据点: service data point sdp异常数据点: exceptional data point,第一组数据点: first data point数据点标绘器: digital point plotter数据点的密度: density of data points系列和数据点: series and data point依数据点变化: vary colors by point据点: strongpoint; fortified point; stronghold点集: [数学] point set; point-group; set of points◇点集论 point set theory; 点集拓扑学 [数学] point set topology; 点集系 system of point-groups; system of point sets把敌人围困在少数据点中: pin down the enemy in a few strongholds不过是另一个数据点: jadp拔据点: capture the enemy点集论: point set theory点集系: system of point sets