%0 Journal Article %T Smooth Fitting of B-Spline Surfaces with Strict Interpolation Conditions
B样条曲面在严格约束状态下的光顺拟合 %A WANG Guo-jin %A WANG Zhen-wu %A SHOU Hua-hao %A
王国瑾 %A 王振武 %A 寿华好 %J 软件学报 %D 1998 %I %X In this paper, the authors present a new B-spline surface modelling method which fairly fits 3D data points while at the same time strictly interpolates some of them. By using Lagrange multiplier's conditional extreme method, introducing fairness weights and finding the least squares solutions of position deviation and shape curvature, some B-spline fair quasi-fitting modelling surfaces can be obtained. This method obviously has some practical applications in designing outer shell surfaces of transportation tools with windows and gates, or in manufacturing assembled/joined parts of mechanical productions. %K Curve fitting %K surface fitting %K interpolation %K smoothing of data %K B-spline %K conditional extremum
曲线拟合,曲面拟合,插值,数据光顺,B样条,条件极值. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=7735F413D429542E610B3D6AC0D5EC59&aid=A3E97EF9D2E316BE&yid=8CAA3A429E3EA654&vid=9CF7A0430CBB2DFD&iid=9CF7A0430CBB2DFD&sid=A7379F6713A46835&eid=6CDD207A90CE1EEC&journal_id=1000-9825&journal_name=软件学报&referenced_num=8&reference_num=8