Welcome to Journal of Beijing Institute of Technology
Advance Search
Volume 18Issue 1
.
Turn off MathJax
Article Contents
Article Navigation> JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY> 2009> 18(1): 46-50
LI Fang-xing, WU Ping-dong, SUN Hua-fei, PENG Lin-yu. 3D Object Recognition Based on Linear Lie Algebra Model[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2009, 18(1): 46-50.
Citation: LI Fang-xing, WU Ping-dong, SUN Hua-fei, PENG Lin-yu. 3D Object Recognition Based on Linear Lie Algebra Model[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2009, 18(1): 46-50.
shu

3D Object Recognition Based on Linear Lie Algebra Model

  • 1.

    School of Mechanical and Vehicular Engineering, Beijing Institute of Technology, Beijing 100081, China

  • 2.

    School of Science, Beijing Institute of Technology, Beijing 100081, China

  • Received Date:2008-03-19
    Abstract
  • A surface model called the fibre bundle model and a 3D object model based on linear Lie algebra model are proposed. Then an algorithm of 3D object recognition using the linear Lie algebra models is presented. It is a convenient recognition method for the objects which are symmetric about some axis. By using the presented algorithm, the representation matrices of the fibre or the base curve from only finite points of the linear Lie algebra model can be obtained. At last some recognition results of practicalities are given.
    • FullText(HTML)
  • loading
    • References (9)
  • [1]
    Chao Jinhui, Li Fangxing. A surface model based on a fibre bundle of 1-parameter groups of Hamiltonian Lie algebra //International Conference on Image Processing. : IEEE Press, 2005: 1021-1024.
    [2]
    Chao Jinhui, Kim Jongdae, Nagakura Atsushi. A new surface model based on a fibre-bundle of 1-parameter groups //2004 IEEE International Conference on Multimedia and Expo. : IEEE Press, 2004:129-132.
    [3]
    Olver P J. Applications of Lie groups to differential equations[M]. Berlin: Springer-Verlag, 1986.
    [4]
    Chao Jinhui, Kim Jongdae. A fibre bundle model of surfaces and its generalization //Pattern Recognition, Proceedings of the 17th International. : IEEE Press, 2004: 560-563.
    [5]
    Sano Hiroyasu, Makino Mitsunori, Chao Jinhui. An adaptive high quality mesh generation for surface defined by linear lie algebra[J]. Japan Society for Simulation Technology, 2001, 20: 251-258.
    [6]
    Chao Jinhui, Karasudani Akira, Minowa Kenji. Invariant representation and recognition of objects using linear Lie algebra of tangent or normal vector fields[J]. IEICE Japan Trans (D-Ⅱ), 2000, J83-D-Ⅱ(9): 1870-1878.
    [7]
    Suzuki M, Chao Jinhui. Invariant extraction and segmentation of 3D objects with linear Lie algebra model[J]. IEICE Japan Trans on Information Systems(D), 2002, E85-D(8): 1306-1313.
    [8]
    Chao Jinhui, Suzuki M. Invariant extraction and segmentation of 3D objects using linear Lie algebra model //Proceedings of 2002 International Conference on Image Processing. : IEEE Press, 2002: 205-208.
    [9]
    Li Fangxing, Peng Linyu, Sun Huafei. On the fibre bundle surfaces and their curvatures[J]. Journal of Beijing Institute of Technology, 2008, 17(4):451-454. (Edited by
    • Relative Articles
  • Supplements (0)
  • Cited By
  • 加载中

Catalog

    通讯作者:陈斌, bchen63@163.com
    • 1.

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article views (306) PDF downloads(40) Cited by()
    Proportional views
    Related

    Address:5 Zhongguancun South Street, Haidian District, Beijing

    Tel:86-10-68914374

    Email:blgywb@bit.edu.cn

    Copy Right © Journal of Beijing Institute of Technology

    Supported by:Beijing Renhe Information Technology Co. Ltd

    /

      Return
      Return
        Baidu
        map