cagd中带形状参数的曲线曲面理论及其应用分析word格式论文.docxVIP

优秀毕业论文 精品参考文献资料 Title: STUDY OF CURVESSURFACES THEORY AND THEIR APPLICATION WITH SHAPE PARAMETERS IN CAGD Major: Computational Mathematics Name: Fei LIU Supervisor: Prof. Xinqiang QIN Xiaoping XU Signature:_.Eβiμο Sign制阳 fL叩创刊ι Signature:.1fa忡忡K_u. Abstract The extension ofBézier curves and B-spline curves with p缸础neters has become a hotspot in CAOD recently，p町tially influenced by the eno口nous growing computing technologies. Such extensions appe缸 and attract immediate attention as，along with the fast developed geometric modeling industry，the original Bézier ，B-spline method and the rational Bézier method can no longer 也lfill the rapidly growing demands for geometric modeling required by the quick1y expanded modeling industry，where requirements often emphasize flexibility，shape regulation ， approachability and describility of the curves. 1n 2008 Qin，Hu and Zhang introduced two new expansions for the cubic B但ier curves. While inheriting properties of cubic Bézier curves，their CE-Bézier c盯ves have remarkable advantages including a司justable shape par缸neters and be忧er approximation property of fi忧ing the control polygon ，and their shape parameters have explicit geometric interpretations and significance. C-B-spline the。可that is developed by Jiwen Zhang presents conic exactly and is applied on engineering surface.In this thesis，some key issues of CE-B臼ier theory 盯e systematically investigated and the surfaces continuity 缸e important1y researched.C-B-spline curves on CAOD modeling and shape modification are given. First1y， continuity technology of curves and surfaces in CAOD are researched. A new curve modeling method is given，through the continuity of C-B-spline curves and Cubic B但ier curves， combining the advantage of the two curves，representation of circles and semicircles precisely in C-B-spline surface modeling is better solved. Furthermore ，two kinds of CE-Bézier curves and surfaces theory are researched. 1nc1uding，the properties of CE-Bézier curv