基于零曲率的轻柔织物建模与动态仿真研究  

Research on Modeling and Dynamic Simulation of Soft Fabrics Based on Zero Curvature

作　　者：吴明珠[1] 陈瑛[1] 胡新荣[1,2] 王宗笠[1] 

机构地区：[1]华南师范大学增城学院,广州511363 [2]武汉纺织大学数学与计算机学院,武汉430200

出　　处：《丝绸》2014年第5期43-48,共6页Journal of Silk

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

摘　　要：以往的织物建模与动态仿真方法大部分是从力学角度逐点地进行分析讨论,建模复杂,计算量大。针对轻柔织物的特点,结合基于黎曼几何意义下的曲面高斯曲率为零的特征,提出了一种新的轻柔织物建模与动态仿真算法。该算法运用波动学理论,借助脊波的随机产生来模拟轻柔织物的零曲率运动情况。并且在度规保持不变的前提下,提出了织物保长波方程。以脊波为最小单元,进行批量处理显示,经过仿真实验结果表明,该方法仿真效果逼真,计算效率得到很大的提高。In previous fabric molding and dynamic simulation methods,most methods are analyzed and discussed from perspective of mechanics. The modeling is complex and the calculation quantity is large. According to the characteristics of soft fabric,this paper presents a new algorithm for modeling and dynamic simulation of soft fabric in combination of the characteristic that Gaussian curvature of the curved surface under the significance of Riemannian geometrical significance is zero. The algorithm applies the theory of kymatology to simulate zero-curvature movement of soft fabrics with the help of radon generation of ridgelet. Besides,under the condition where the metric remains unchanged,this paper puts forward long wave equation. Batch processing display is conducted with the ridgelet as the minimum unit. Simulation experiment results show the simulation effect of this method is life-like and the computational efficiency improves greatly.

关 键 词：轻柔织物 仿真 脊波 零曲率 黎曼 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]