基于反求控制点的B样条曲面重建算法的实现  

Implementation of B-spline surface reconstruction algorithm based on reverse control points

作　　者：吴丽娟[1] 关贵明 吴建军[1] 李柳[1] 韩松 

机构地区：[1]沈阳师范大学物理科学与技术学院 [2]北部战区31441部队

出　　处：《广西大学学报（自然科学版）》2017年第5期1774-1779,共6页Journal of Guangxi University（Natural Science Edition）

基　　金：辽宁省自然科学基金项目资助(201102205)

摘　　要：由于B样条曲面具有很好的局部修改性,因此在逆向工程中更广泛地应用B样条曲面来进行曲面重建。本文在散乱数据模型四边形网格划分优化处理的基础上,设计了基于反求控制点的B样条3次曲面重建算法,定义了基本概念,解决型值点的选取及参数化,追赶法求解控制点,曲面拟合等问题。在VC++编译环境下,进行算法的程序编写与调试,通过OPENGL函数显示了控制网格和拟合曲面。算法的运行结果说明了算法的可行性和可靠性。Because of the good local modification of B-spline curve, it is widely used to reconstruct the B-spline surface in reverse engineering. Based on optimization quadrilateral meshes of the cloud data model by reverse control points, an algorithm for reconstructing quasi-uniform B-spline surface is designed. The basic concepts are defined, and a set of solutions are given, including selection and parameterization of model points, a selection method for solving control points equation, and fitting surfaces. The algorithm is implemented by VC＋＋, and the control meshes and fitting surface are implemented by OPENGL functions. The results of the algorithm show its feasibility and relia- bility.

关 键 词：曲面重建 B样条曲面 合并网格 四边形网格 

分 类 号：TP311.1[自动化与计算机技术—计算机软件与理论]