NURBS曲线半正交小波分解的Gauss算法

在多分辨率曲线和曲面造型中,B样条小波已经得到广泛应用 为了进行小波分解,通常要解一个线性方程组或者求矩阵的逆 如果曲线比较复杂,控制点较多 (例如:数千个以上 ),则矩阵的阶数就会很大,所需的内存将难以容忍,小波分解的速度也会受到很大影响 本文根据B样条小波的综合滤波器的特点,给出了GaussB样条半正交小波的快速分解算法     

NURBS曲面造型方法

列举了基于NURBS方法的各种曲面造型方法和相应的数学表达式，同时也对各种方法的适用范围和优缺点进行了评述。     

基于二次NURBS的插值曲线

根据二次非均匀有理B样条曲线矩阵表达式,对于任意曲线上的2n+1个型值数据点,给出了一个仅仅利用这些型值数据,反算二次非均匀有理B样条曲线控制顶点的算法.数值算例表明了其算法的有效性.     

平面NURBS曲线的自动光顺算法

目的 给出平面NURBS曲线的自动光顺算法。方法 基于节点消去、插入和重新确定权因子等基本算法，根据给定的光顺准则，自动选择需要光顺的节点，局部修改控制顶点和权因子。结果 建立保凸节点消去算法，实现了平面NURBS曲线的自动光顺。结论在给定误差范围内．该算法既可保证节点结构不变，也可对曲线进行微调，达到光顺目的。     

NURBS曲线的半正交小波分解算法

为了对NURBS曲线进行精确的分解，提出了半正交B样条小波分解的新算法，同时给出了处理NURBS曲线的非整数阶分辨率的小波分解算法．对于NURBS曲线，无论它有多少个控制点，均可以对它进行半正交分解，而不受控制点数必须等于2‘ 3的限制，这对于NURBS曲线的多分辨率造型具有较大的应用价值．     

基于分布式虚拟现实技术的汽车驾驶模拟器的研究

介绍了正在研制的基于分布式虚拟现实技术的汽车驾驶模拟器。这是一个基于虚拟现实环境和网络环境的软硬件集成系统。重点研究视觉系统，包括外景系统和驾驶内景。对有关建模技术中的基于NLTRBS曲面法线的路面纹理(含路标线等)自动校准和生成技术、基于高程的多重纹理映射生成技术、模型和纹理的无缝切片技术和基于物理特性的环境仿真试验与交互技术进行了研究。给出了该汽车虚拟仿真驾驶系统在选择车辆、选择天气状况和时间以及选择各种路况等的示例。     

基于OpenGL的B样条曲线的分类及实现

通过对B样条曲线按节点进行分类,使用OpenGL中的NURBS接口函数,完成了各类B样条曲线的实现．     

Approximation of NURBS Curves and Surfaces Using Adaptive Equidistant Parameterlzatlons

Non-uniform rational B-spline (NURBS) curves and surfaces are very important tools for modelling curves and surfaces. Several important details, such as the choice of the sample points, of the parameterization, and of the termination condition, are however not well described. These details have a great influence on the performance of the approximation algorithm, both in terms of quality as well as time and space usage. This paper described how to sample points, examining two standard parameterizations: equidistant and chordal. A new and local parameterization, namely an adaptive equidistant model, was proposed, which enhances the equidistant model, Localization can also be used to enhance the chordal parameterizatfon, For NURBS surfaces, one must choose which direction will be approximated first and must pay special attention to surfaces of degree 1 which have to be handled as a special case.     

An approach to 3D NURBS modeling of complex fault network considering its historic tectonics

Fault disposal is a research area that presents difficulties in 3D geological modeling and visualization. In this paper, we propose an integrated approach to reconstructing a complex fault network (CFN). Based on the non-uniform rational B-spline (NURBS) techniques, fault surface was constructed, reflecting the regulation of its spatial tendency, and correlative surfaces were enclosed to form a fault body model. Based on these models and considering their historic tectonics, a method was put forward to settle the 3D modeling problem when the intersection of two faults in CFN induced the change of their relative positions. First, according to the relationships of intersection obtained from geological interpretation, we introduced the topological sort to determine the order of fault body construction and rebuilt fault bodies in terms of the order; then, with the disposal method of two intersectant faults in 3D modeling and applying the Boolean operation, we investigated the characteristic of faults at the intersectant part. An example of its application in hydropower engineering project was proposed. Its results show that this modeling approach can increase the computing efficiency while less computer memory is required, and it can also factually and objectively reproduce the CFN in the engineering region, which establishes a theoretical basis for 3D modeling and analysis of complex engineering geology.     

基于三次NURBS的椭圆弧的实用方法

圆弧的表示一直是计算机辅助几何设计关心的问题,而圆弧仅是椭圆的特例。现有的方法对于椭圆弧的表示并未进行深入的研究。本文给出的三次NURBS表示大于180度椭圆弧的实用方法,克服了三次有理Bezier曲线只能表示不超过240度的椭圆弧的条件。该方法给出的控制顶点和权因子的计算结果。符合对椭圆弧NURBS表示的要求,为工程应用NURBS表示椭圆弧曲线提供了方便。