摘要
将遗传算法与散乱数据点的NURBS曲面拟合优化问题有机结合,根据反求得到的控制顶点生成NURBS曲面并利用遗传算法对曲面进行优化,使曲面在满足给定容差和光顺度的条件下,能用较少的控制顶点来表达.给出此类问题的遗传因子和评价函数,计算出曲面的控制顶点及与其对应的权因子.通过数值仿真验证了此方法对于简化拟合曲面表述的有效性.
The Nurbs surface can be obtained and optimized by genetic algorithm on the controlling points,which can be solved by the B-spline surface expression on the given scattered points’ data.So on the controlling that the surface meets the given tolerance and smoothing degree,the surface can be expressed by fewer controlling points.The genetic gene and evaluating function are given and the controlling points and their corresponding weight genes are computed.By numerical simulation this method is verified for the validity of the simplified representation of the fitting surface.
出处
《天津城市建设学院学报》
CAS
2010年第1期41-43,共3页
Journal of Tianjin Institute of Urban Construction
基金
建设部科研开发项目(04-228)
