Page 304 - 《软件学报》2020年第10期

软件学报 ISSN 1000-9825, CODEN RUXUEW E-mail: jos@iscas.ac.cn
Journal of Software,2020,31(10):3280–3294 [doi: 10.13328/j.cnki.jos.006060] http://www.jos.org.cn
©中国科学院软件研究所版权所有. Tel: +86-10-62562563

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局部各向异性的薄壳收缩变形

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孙晓鹏 , 何 鑫 , 王振燕 , 李娇娇 , 陈 腾 , 董 雨
1 (辽宁师范大学 计算机与信息技术学院 计算机系统研究所,辽宁 大连 116029)
2 (智能通信软件与多媒体北京市重点实验室(北京邮电大学),北京 100876)
通讯作者: 孙晓鹏, E-mail: Cadcg2008@hotmail.com

摘 要: 基于位置动力学提出局部各向异性的薄壳收缩变形方法.首先针对基于位置动力学变形模拟方法的材质
局限性的不足,提出薄壳收缩变形的弹性变形能,实现了多材质的弹性收缩变形.其次,针对薄壳收缩变形过程中的
抖动问题,给出适当的弯曲能系数,实现了稳定的收缩变形.第三,针对薄壳局部类球面结构收缩变形缓慢且细微的
不足,定义了局部各向异性 ARAP 变形能等,实现了薄壳局部类球结构的快速、显著、稳定的收缩变形.最后以轴向
平行包围盒与非渗透滤波器作为碰撞检测的预处理,剔除不可能发生碰撞的图元对,提高了收缩变形过程中的碰撞
检测效率.相关实验结果表明,提出的薄壳收缩变形算法适用于多种材质模型以及多种各向异性能量,且有效地解决
了抖动及局部类球结构收缩变形缓慢且不显著等问题.
关键词: 收缩变形;薄壳变形;类球面结构;各向异性能量
中图法分类号: TP391
中文引用格式: 孙晓鹏,何鑫,王振燕,李娇娇,陈腾,董雨.局部各向异性的薄壳收缩变形.软件学报,2020,31(10):3280–3294.
http://www.jos.org.cn/1000-9825/6060.htm
英文引用格式: Sun XP, He X, Wang ZY, Li JJ, Chen T, Dong Y. Local anisotropic contraction deformation of thin shell. Ruan
Jian Xue Bao/Journal of Software, 2020,31(10):3280–3294 (in Chinese). http://www.jos.org.cn/1000-9825/6060.htm

Local Anisotropic Contraction Deformation of Thin Shell
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SUN Xiao-Peng , HE Xin , WANG Zhen-Yan , LI Jiao-Jiao , CHEN Teng , DONG Yu 1
1 (Institute of Computer System, School of Computer and Information Technology, Liaoning Normal University, Dalian 116029, China)
2 (Beijing Key Laboratory of Intelligent Telecommunications Software and Multimedia (Beijing University of Posts and
Telecommunications), Beijing 100876, China)
Abstract: A novel algorithm is proposed for local anisotropic contraction deformation on thin shell using the framework of
position-based dynamics. Firstly, a new elastic deformation energy of thin shell is presented to address the material limitation of
position-based dynamics, and get desired elastic contraction deformation on a variety of materials. Secondly, a stable contraction
deformation is abstained without jittering by giving a proper coefficient of bending energy. Thirdly, a local anisotropic ARAP deformation
energy is defined to produce a rapid and stable invagination on the area of the local spherical structures where the deformation is slow and
slight. Finally, the axis-aligned bounding box and the non-penetration filters are used as a preprocess stage in order to cull the primitive
pairs that are impossible to collide, to accelerate the speed of collision detection. The experimental results demonstrate that, the proposed
method supports many different types of materials and local anisotropic energies, and can work with the problems of jittering and the
slight deformation on local spherical structures.
Key words: contraction deformation; thin shell deformation; spherical structures; anisotropic energies

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三维物体的变形模拟广泛应用于游戏动画、影视特效等领域 .以四面体素 描述三维物体的变形方法复

∗ 基金项目: 国家自然科学基金(61472170); 北京邮电大学智能通信与多媒体北京市重点实验室开放课题(ITSM201301)
Foundation item: National Natural Science Foundation of China (61472170); Beijing Key Laboratory of Intelligent
Telecommunications Software and Multimedia (Beijing University of Posts and Telecommunications) (ITSM201301)
收稿时间: 2020-03-01; 修改时间: 2020-04-05; 采用时间: 2020-04-27