Constructing C^1 Continuous Surface on Irregular Quad Meshes  

作　　者：HE Jun GUO Qiang 

机构地区：[1]Shandong Provincial Key Laboratory of Digital Media Technology, Shandong University of Finance and Economics

出　　处：《Computer Aided Drafting,Design and Manufacturing》2013年第4期30-34,共5页计算机辅助绘图设计与制造（英文版）

基　　金：Supported by National Nature Science Foundation of China(Nos.61103117,61202150,61303088);Shandong Province Natural Science Foundation(ZR2011FL028);Shandong Ji'nan College and Institute Independent Innovation Project(201303016)

摘　　要：A new method is proposed for surface construction on irregular quad meshes as extensions to uniform B-spline surfaces. Given a number of control points, which form a regular or irregular quad mesh, a weight function is constructed for each control point. The weight function is defined on a local domain and is C1 continuous. Then the whole surface is constructed by the weighted combination of all the control points. The property of the new method is that the surface is defined by piecewise Cl bi-cubic rational parametric polynomial with each quad face. It is an extension to uniform B-spline surfaces in the sense that its definition is an analogy of the B-spline surface, and it produces a uniform bi-cubic B-spline surface if the control mesh is a regular quad mesh. Examples produced by the new method are also included.A new method is proposed for surface construction on irregular quad meshes as extensions to uniform B-spline surfaces. Given a number of control points, which form a regular or irregular quad mesh, a weight function is constructed for each control point. The weight function is defined on a local domain and is C1 continuous. Then the whole surface is constructed by the weighted combination of all the control points. The property of the new method is that the surface is defined by piecewise Cl bi-cubic rational parametric polynomial with each quad face. It is an extension to uniform B-spline surfaces in the sense that its definition is an analogy of the B-spline surface, and it produces a uniform bi-cubic B-spline surface if the control mesh is a regular quad mesh. Examples produced by the new method are also included.

关 键 词：surface construction irregular quad meshes bi-cubic B-spline SUBDIVISION 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术] TJ760[自动化与计算机技术—计算机科学与技术]