A Derivation of Free-rotation in the Three-dimensional Space

被引：0
|
作者：
Chen, Legend [1 ]
机构：
[1] Univ Shanghai Sci & Technol Optoelect Informat &, Shanghai 200093, Peoples R China
来源：
PROCEEDINGS OF THE 2013 INTERNATIONAL CONFERENCE ON ADVANCED ICT AND EDUCATION | 2013年 / 33卷
关键词：
Three-dimensional; Free-rotation; Computer Graphics; Coordinate Transformation;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The paper describes an algorithm derivation of rotation in the three-dimensional space, which is an efficient method for rotating objects in the space. The key in the derivation process is to summarize the many thoughts on this issue, included the geometric algebra, coordinate transformation, linear space and matrix operations, and analysis of some possible algorithm of rotation, such as basic rotation, the combination of rotations and coordinates system transformation. Finally, obtains a matrix as a formula for the free-rotation in the three dimensions.
引用
收藏
页码：49 / 53
页数：5
相关论文
共 50 条
  • [41] UNCERTAINTY ANALYSIS FOR FREE-SPACE THREE-DIMENSIONAL MEASUREMENT OF ELECTROMAGNETIC PULSE
    Shi, Yuewu
    Wang, Wei
    Nie, Xin
    Miao, Jianguo
    Chen, Wei
    METROLOGY AND MEASUREMENT SYSTEMS, 2024, 31 (02) : 213 - 229
  • [42] Electron in three-dimensional momentum space
    Bacchetta, Alessandro
    Mantovani, Luca
    Pasquini, Barbara
    PHYSICAL REVIEW D, 2016, 93 (01):
  • [43] The Electron in Three-Dimensional Momentum Space
    L. Mantovani
    A. Bacchetta
    B. Pasquini
    Few-Body Systems, 2016, 57 : 515 - 519
  • [44] Particle tracking in three-dimensional space
    Dracos, TH
    THREE-DIMENSIONAL VELOCITY AND VORTICITY MEASURING AND IMAGE ANALYSIS TECHNIQUES, 1996, 4 : 209 - 227
  • [45] The light path in three-dimensional space
    Gibson, BP
    KYBERNETES, 2003, 32 (7-8) : 1083 - 1098
  • [46] Virtual targeting in three-dimensional space
    DeMarco, RM
    Chua, FB
    Bergen, MT
    Short, KR
    Servatius, RJ
    2005 IEEE 31ST ANNUAL NORTHEAST BIOENGINEERING CONFERENCE, 2005, : 285 - 286
  • [47] Scattering in a three-dimensional fuzzy space
    Kriel, J. N.
    Groenewald, H. W.
    Scholtz, F. G.
    PHYSICAL REVIEW D, 2017, 95 (02)
  • [48] Neural codes for three-dimensional space
    Gnadt, JW
    ACCOMMODATION AND VERGENCE MECHANISMS IN THE VISUAL SYSTEM, 2000, : 11 - 19
  • [49] The Electron in Three-Dimensional Momentum Space
    Mantovani, L.
    Bacchetta, A.
    Pasquini, B.
    FEW-BODY SYSTEMS, 2016, 57 (07) : 515 - 519
  • [50] Free-space generation of three-dimensional tunable vector optical cages
    Chen, Keyu
    Li, Ziyan
    Sun, Xiaojie
    Kang, Xiangyu
    Wang, Guanxue
    Gao, Xiumin
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2023, 40 (09) : 1809 - 1816
12345