摘要
In this paper, we present the analytical expressions for computing the minimum distance between a point and a torus, which is called the orthogonal projection point problem. If the test point is on the outside of the torus and the test point is at the center axis of the torus, we present that the orthogonal projection point set is a circle perpendicular to the center axis of the torus;if not, the analytical expression for the orthogonal projection point problem is also given. Furthermore, if the test point is in the inside of the torus, we also give the corresponding analytical expression for orthogonal projection point for two cases.
In this paper, we present the analytical expressions for computing the minimum distance between a point and a torus, which is called the orthogonal projection point problem. If the test point is on the outside of the torus and the test point is at the center axis of the torus, we present that the orthogonal projection point set is a circle perpendicular to the center axis of the torus;if not, the analytical expression for the orthogonal projection point problem is also given. Furthermore, if the test point is in the inside of the torus, we also give the corresponding analytical expression for orthogonal projection point for two cases.
作者
Xiaowu Li
Linke Hou
Juan Liang
Zhinan Wu
Lin Wang
Chunguang Yue
Xiaowu Li;Linke Hou;Juan Liang;Zhinan Wu;Lin Wang;Chunguang Yue(College of Information Engineering, Guizhou Minzu University, Guiyang, China;Center for Economic Research, Shandong University, Jinan, China;Department of Science, Taiyuan Institute of Technology, Taiyuan, China;School of Mathematics and Computer Science, Yichun University, Yichun, China)
