基于升阶的B样条曲面光顺拟合  

Fair Fitting of B-Spline Surface Based on Degree Elevation

作　　者：曹利新[1] 游洪[1] 

机构地区：[1]大连理工大学机械工程学院,辽宁116023

出　　处：《机械制造》2003年第7期23-25,共3页Machinery

基　　金：国家自然科学基金资助项目(编号:50105001)

摘　　要：分析了B样条曲线的光顺拟合方法和均匀B样条曲线的升阶方法,针对截面线上数据点个数变化较大的情况,提出了曲面光顺拟合的方法,并给出了计算实例。A method to fairly fit the given data points with the least squares of the cubic B - spline curve and an algorithm for degree elevation of uniform B - spline curves are analyzed in this paper. For the numbers of section data varying in each section, the fair fitting method of bicubic B - spline surface is presented. A calculating example is also provided.

关 键 词：B样条曲线 升阶 曲面光顺 曲面拟合 曲线拟合 坐标测量机 数字化模型 

分 类 号：TG839[金属学及工艺—公差测量技术] O242.1[理学—计算数学]