基于黎曼零曲率的织物静态造型研究  

Study on Static Cloth Model Based on Riemannian Zero Curvatureh

作　　者：陈瑛[1] 吴明珠[1] 胡新荣[1] 王宗笠[1] 

机构地区：[1]华南师范大学增城学院,广东广州511363

出　　处：《计算机仿真》2014年第4期426-429,共4页Computer Simulation

基　　金：国家自然科学基金(61103085);广州市科技计划项目(12c42091562);广东省育苗工程项目(2013LYM_0118)

摘　　要：在织物造型设计问题的研究中,根据黎曼流形的理论,确立织物造型主要由0曲率造型合成的观点,建立一种新的织物建模方法。主要研究织物基于0曲率静态造型的脊线波曲面的构造,根据织物上相邻两点长度始终保持不变,织物上点的位置由斜率来确定的思想,解决脊线波曲面生成后织物的保面积问题。并从实际出发,考虑脊线波曲面的倾斜和衰减问题,初步实现织物静态造型的仿真。从仿真效果图看来,形态比较逼真。在时间性能上,上述方法将构成织物的m×n矩阵分解成若干批,成批地处理织物质点,很大程度上提高织物造型的效率,达到实时仿真的要求。This article adopts the theory of Riemannian manifold, establishes the view that cloth model is mainly composed of zero curvature model, and creates a new method of cloth modeling. We mainly studied the structure of rigde wave curved surface based on zero curvature in static state, and according to the theory that the cloth＇s adja cent two particles always stay the same length with the slope determined by the position of each particle in cloth, we solved the problem of conservative area when rigde wave curved surface creates into cloth. We practically consid erd both inclination and decay problems of rigde wave curved surface, with preliminary realization of the static simulation model. It is more realistic by simulating effect picture, and as for time performance, this method decom poses the m ＊ n matrix that forms the cloth into several batches, and processes the cloth＇s particle in batches. Con sequently, the productivity of cloth modeling is largely improved in order to meet the requirment of real time simula tion.

关 键 词：脊线波曲面 保面积 倾斜 衰减 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]