Constructing C^1 Continuous Surface on Irregular Quad Meshes

作     者：HE Jun GUO Qiang 

作者机构：Shandong Provincial Key Laboratory of Digital Media Technology Shandong University of Finance and Economics 

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) 

出 版 物：《Computer Aided Drafting,Design and Manufacturing》 (计算机辅助绘图设计与制造（英文版）)

年 卷 期：2013年第23卷第4期

页      码：30-34页

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.

主 题 词：surface construction irregular quad meshes bi-cubic B-spline subdivision 

学科分类：081203[081203] 082601[082601] 08[工学] 082501[082501] 0826[工学-生物医学工程类] 082602[082602] 0835[0835] 0825[工学-环境科学与工程类] 0812[工学-测绘类] 

D　O　I：10.19583/j.1003-4951.2013.04.006

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