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图学学报 ›› 2021, Vol. 42 ›› Issue (1): 87-93.DOI: 10.11996/JG.j.2095-302X.2021010087

• 计算机图形学与虚拟现实 • 上一篇    下一篇

AR 物理实验中的磁感线仿真

  

  1. 1. 浙江大学计算机科学与技术学院,浙江 杭州 310012; 2. 杭州师范大学虚拟现实与智能系统研究院,浙江 杭州 311121
  • 出版日期:2021-02-28 发布日期:2021-02-01
  • 基金资助:
    国家重点研发计划项目(2018YFB1004900) 

Simulation of magnetic lines in AR physics experiments 

  1. 1. School of Computer Science and Technology, Zhejiang University, Hangzhou Zhejiang 310012, China; 2. Virtual Reality and Intelligent Systems Research Institute, Hangzhou Normal University, Hangzhou Zhejiang 311121, China
  • Online:2021-02-28 Published:2021-02-01
  • Supported by:
    State Key Research and Development Program (2018YFB1004900) 

摘要: 针对如何在中学物理实验中,在增强现实(AR)的虚拟环境中模拟出符合物理规律的磁感线、电 场线等曲线的问题,研究了一套在三维空间中拟合出符合磁感线性质的磁感线算法,并将其应用到多模态自然 交互的 AR 实验系统中。该算法使用四阶龙格库塔方法生成磁感线,并在必要时使用能量最小化的方法进行修 正。该 AR 系统使用基于实物套件的增强现实并利用多相机协同 AR 三维注册来克服传统二维 MARK 跟踪失 效问题。最终以中学教学中常见的电生磁实验为例,测试了该磁感线生成算法和实验系统。结果表明,该磁感 线符合物理定律,并可以较好地服务于电磁相关的物理实验中,具有解决实验现象不明显,使学生理解更为直 观透彻的实际意义。

关键词: 磁感线, 仿真, MARK, 龙格库塔方法, 修正

Abstract: This paper proposed a virtual-real fusion simulation method of magnetic lines suitable for middle school experiments, and explored a set of algorithms applicable to the properties of magnetic lines in 3D space. It was applied to the multi-modal natural interactive augmented reality (AR) experiment system. This algorithm employed RK4 to generate magnetic induction lines and adopted the minimum energy method to revise them when necessary. The AR system utilized augmented reality based on physical kits and the multi-camera cooperative AR three-dimensional registration to overcome the traditional problem of two-dimensional MARK tracking failure. Finally, an electro-magnetic experiment commonly conducted in middle school teaching was taken as an example to test this magnetic induction line generation algorithm. Tests results show that these magnetic induction lines conform to the laws of physics and can better facilitate the electromagnetics-related physical experiments, which is of practical significance. By magnifying the phenomenon of the experiment, it is conducive to students’ understanding of physical concepts. 

Key words: magnetic lines, simulation, MARK, Runge Kutta method, revise 

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