Complete Classification and Efficient Determination of Arrangements Formed by Two Ellipsoids
文献类型：期刊论文
| 作者 | Jia, Xiaohong2,3; Tu, Changhe4; Mourrain, Bernard1; Wang, Wenping5 |
| 刊名 | ACM TRANSACTIONS ON GRAPHICS
 |
| 出版日期 | 2020-06-01 |
| 卷号 | 39期号:3页码:12 |
| 关键词 | Arrangements ellipsoids collision detection |
| ISSN号 | 0730-0301 |
| DOI | 10.1145/3388540 |
| 英文摘要 | Arrangements of geometric objects refer to the spatial partitions formed by the objects, and they serve as an underlining structure of motion design, analysis, and planning in CAD/CAM, robotics, molecular modeling, manufacturing, and computer-assisted radio-surgery. Arrangements are especially useful to collision detection, which is a key task in various applications such as computer animation, virtual reality, computer games, robotics, CAD/CAM, and computational physics. Ellipsoids are commonly used as bounding volumes in approximating complex geometric objects in collision detection. In this article, we present an in-depth study on the arrangements formed by two ellipsoids. Specifically, we present a classification of these arrangements and propose an efficient algorithm for determining the arrangement formed by any particular pair of ellipsoids. A stratification diagram is also established to show the connections among all the arrangements formed by two ellipsoids. Our results, for the first time, elucidate all possible relative positions between two arbitrary ellipsoids and provide an efficient and robust algorithm for determining the relative position of any two given ellipsoids, therefore providing the necessary foundation for developing practical and trustworthy methods for processing ellipsoids for collision analysis or simulation in various applications. |
| 资助项目 | National Natural Science Foundation of China[61872354] ; National Natural Science Foundation of China[61772318] ; Beijing Natural Science Foundation[Z190004] ; Intelligent Science and Technology Advanced subject project of University of Chinese Academy of Sciences[115200S001] ; Alibaba Group through Alibaba Innovative Research Program |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000577126000010 |
| 出版者 | ASSOC COMPUTING MACHINERY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52316]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Jia, Xiaohong |
| 作者单位 | 1.Univ Cote dAzur, Inria Mediterranee, Aromath, F-06902 Nice, France 2.Chinese Acad Sci, KLMM, AMSS, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing, Peoples R China 4.Shandong Univ, Sch Comp Sci & Technol, Qingdao 266237, Peoples R China 5.Univ Hong Kong, Dept Comp Sci, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jia, Xiaohong,Tu, Changhe,Mourrain, Bernard,et al. Complete Classification and Efficient Determination of Arrangements Formed by Two Ellipsoids[J]. ACM TRANSACTIONS ON GRAPHICS,2020,39(3):12. |
| APA | Jia, Xiaohong,Tu, Changhe,Mourrain, Bernard,&Wang, Wenping.(2020).Complete Classification and Efficient Determination of Arrangements Formed by Two Ellipsoids.ACM TRANSACTIONS ON GRAPHICS,39(3),12. |
| MLA | Jia, Xiaohong,et al."Complete Classification and Efficient Determination of Arrangements Formed by Two Ellipsoids".ACM TRANSACTIONS ON GRAPHICS 39.3(2020):12. |
入库方式： OAI收割
来源：数学与系统科学研究院
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