基于弹性形变模型的自适应曲面细分建模  

ICBCM-based Surface Modeling using Adaptive Subdivision

作　　者：蔡文杰[1] 郑培林[1] 麦青[1] 侯文邦[1] 

机构地区：[1]中山大学计算机科学系,广东广州510275

出　　处：《中山大学研究生学刊（自然科学与医学版）》2004年第2期55-62,共8页Journal of the Graduates Sun YAT-SEN University(Natural Sciences.Medicine)

摘　　要：依据物体的几何特性来对曲面进行建模的细分算法近年来取得了卓越的发展并广泛应用于三维物体建模和动画制作,同时一些学者为了弥补基于几何的(geometry-based)细分建模方法在直观性上的不足,提出了基于物理的(physics-based)细分建模方法,这些方法大部分是采用有限元的技术结合传统的细分模式来实现的。虽然有限元技术适用于建立多种的物理模型,但是对于一些相对简单的弹性形变处理,其在计算复杂性及模型简洁性方面还可以针对具体的应用作一定的完善。本文针对材料力学中简单的可恢复弹性形变,使用柱状块体压缩拉伸模型(ICBCM)与自适应细分算法相结合的技术,在保证建模效果的基础上显著的减低了模型的复杂程度,并提高了细分算法的执行效率。Of late surface modeling using the techniques of subdivision based on the geometric characteristic of the object has rapid development on the area of 3D modeling and animation.Meanwhile,some physics-based subdivision techniques,most of which are implemented using the finite element with traditional subdivision schemes are proposed making up for the deficiency of intuition of those geometry-based subdivision schemes.Although the finite element is widely used in many kindsof physics modeling,its complexity of computation and simplicity of model could be improved in some practical and simple application.In this paper,we gracefully combine the irregular columned block contraction model (ICBCM) with adaptivesubdivision for the application of reversible elastic deformation in the material mechanics,thereby decreasing the complexity of the physics model and increasing the efficiency of the subdivision modeling.

关 键 词：弹性形变模型 自适应细分 曲面细分建模 有限元 柱状块体压缩拉伸模型 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]