有理三次PH曲线的G1 Hermite插值

探讨了有理PH曲线的G1 Hermite插值问题,运用复数表达将问题转化为包含5个复代数方程的方程组,通过求解这个方程组,得到结论:当插值条件形成凸多边形时,插值问题有2个解,其中之一为多项式解;而当插值条件形成非凸多边形时,只有切方向满足一定条件时,插值问题才有一个解.而对于后一种情况,总可以通过加点的方式细分原逼近曲线,进而得到由两段有理三次PH曲线G1拼接而成的4组样条插值曲线.     

NURBS曲面建模在产品创新设计中的应用

介绍了NURBS曲面建模技术在产品创新设计中的应用,NURBS曲线和曲面及其性质。讨论了基于NURBS曲面建模技术的产品创新设计中特征曲面数据的获取及其优势。最后以一辆雪地车的创新概念设计为例,紧密结合专业工业产品造型设计软件Rhinoceros深入讨论了NURBS曲面建模技术在产品开发过程中实际应用过程,并对其车身造型曲面进行了特征分析。最终通过UG的NURBS功能重构曲线将其转换为三维数字化制造模型。     

关于在NURBS 双向蒙皮造型中保持凸包性及提高精度方法的讨论

通过对ＮＵＲＢＳ双向蒙皮造型插值计算的讨论,要保证曲面具有强的凸包性的前提下,提出了两种插值算法,并对不同插值算法的计算复杂度及计算精确度进行了比较。     

NURBS曲面和隐式曲面求交的局部加密算法

基于等值线法求取NURBS曲面与隐式曲面交线的原理,提出了一种局部加密的改进算法。通过局部加密算法减少正则网格单元顶点处h值计算数目。采用拟牛顿迭代法求交点、B样条曲线拟合参数域上的交线等改进算法,提高了NURBS曲面与隐式曲面求交算法的效率和精度,并通过MATLAB编程进行了验证。     

圆弧曲线的二次NURBS表示方法研究

由于用NURBS曲线表示圆弧时,因圆弧圆心角不同,圆弧方向不同,难于找到圆弧NURBS通用算法,以满足控制顶点少、紧凑凸包、良好参数化等特点,因此从二次NURBS曲线插入节点算法入手,提出一种基于等分圆心角的二次NURBS曲线表示方法。     

3D Simulation of Two-bar Warp-knitted Structures

In this study,3D computer modeling of simple warp-knitted structures is achieved based on 3D model of warp-knitted loops.Firstly, according to the studying on the geometric structure of warp-knitted loops, Gktepe's 3D solid yarn model is developed,and the dimensions of the warp-knitted loops are obtained;then 3D models of stitch defined by eleven given points and in-lay defined by five given points are built with the method of Non-Uniform Rational B-Spline (NURBS) curves and surfaces.Secondly, according to...     

Combined back analysis method of ground stress based on refined geological modeling

A new back-analysis method of ground stress is proposed with comprehensive consideration of influence of topography, geology and nonlinear physical mechanical properties of rock on ground stress. This method based on non-uniform rational B-spline (NURBS) technology provides the means to build a refined three-dimensional finite element model with more accurate meshing under complex terrain and geological conditions. Meanwhile, this method is a back-analysis of ground stress with combination of multivariable linear regression model and neural network (ANN) model. Firstly, the regression model is used to fit approximately boundary loads. Regarding the regressed loads as mean value, some sets of boundary loads with the same interval are constructed according to the principle of orthogonal design, to calculate the corresponding ground stress at the observation positions using finite element method. The results (boundary loads and the corresponding ground stress) are added to the samples for ANN training. And on this basis, an ANN model is established to implement higher precise back-analysis of initial ground stress. A practical application case shows that the relative error between the inversed ground stress and observed value is mostly less than 10 %, which can meet the need of engineering design and construction requirements.     

基于参数曲面的交互式纹理映射研究(英文)

针对纹理映射中复杂物体表面重新参数化困难及映射变形问题,提出一种交互式纹理映射方法,采用NURBS曲面代替简单的中介曲面,用它近似包围所要映射物体的外表面,将纹理映射到曲面上实现参数化,通过控制NURBS曲面来调整纹理映射的效果。实验表明,该方法可以灵活地调整纹理区域,减小纹理变形。     

转子齿面的NURBS表示及啮合线的数值解法

提出了离散参数曲线并用插值NURBS曲面的形式表示转子齿面的方法 ,在用NURBS表示齿面的基础上首次提出了在转子啮合过程中利用其相对速度在法线方向的投影值求啮合线的数值解法 .     

曲面的NURBS插值问题

对于给定的曲面型值点及边界条件 ,本文利用二次NURBS曲面的矩阵表达式 ,给出一个反求二次NURBS曲面控制顶点的算法。