A proof of image Euler Number formula

被引：0
|
作者：
Xiaozhu Lin
Yun Sha
Junwei Ji
Yanmin Wang
机构：
[1] Beijing Institute of Petrochemical Technology,Information Engineering School
来源：
Science in China Series F | 2006年 / 49卷
关键词：
topology; Euler Number; binary image; 4-connected; 8-connected;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Euler Number is one of the most important characteristics in topology. In two-dimension digital images, the Euler characteristic is locally computable. The form of Euler Number formula is different under 4-connected and 8-connected conditions. Based on the definition of the Foreground Segment and Neighbor Number, a formula of the Euler Number computing is proposed and is proved in this paper. It is a new idea to locally compute Euler Number of 2D image.
引用
收藏
页码：364 / 371
页数：7
相关论文
共 50 条
  • [1] A proof of image Euler Number formula
    Lin Xiaozhu
    Sha Yun
    Ji Junwei
    Wang Yanmin
    SCIENCE IN CHINA SERIES F-INFORMATION SCIENCES, 2006, 49 (03): : 364 - 371
  • [2] A proof of image Euler Number formula
    LIN Xiaozhu
    Science in China(Series F:Information Sciences), 2006, (03) : 364 - 371
  • [3] A proof of new formula for 3D images Euler number
    Lin, Xiao-Zhu
    Ji, Jun-Wei
    Huang, Step-Hen
    Yang, Jian-Hua
    Moshi Shibie yu Rengong Zhineng/Pattern Recognition and Artificial Intelligence, 2010, 23 (01): : 52 - 58
  • [4] An Automatic Proof of Euler's Formula
    Zhang, Jun
    COMPUTER SCIENCE JOURNAL OF MOLDOVA, 2005, 13 (01) : 3 - 8
  • [5] A PROOF OF HOBSON'S FORMULA WITH THE EULER OPERATOR
    Nomura, Takaaki
    KYUSHU JOURNAL OF MATHEMATICS, 2018, 72 (02) : 423 - 427
  • [6] The flaw in Euler's proof of his polyhedral formula
    Francese, Christopher
    Richeson, David
    AMERICAN MATHEMATICAL MONTHLY, 2007, 114 (04): : 286 - 296
  • [7] On a formula for the number of Euler trails for a class of digraphs
    Lauri, J
    DISCRETE MATHEMATICS, 1997, 163 (1-3) : 307 - 312
  • [8] A new proof of Euler's formula for (2n)
    Lee, Tuo Yeong
    Lim, Yu Chen
    Wu, Shuo An
    INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2016, 47 (07) : 1119 - 1123
  • [9] An elementary proof of Euler's formula for ζ(2m)
    Tsumura, H
    AMERICAN MATHEMATICAL MONTHLY, 2004, 111 (05): : 430 - 431
  • [10] ANOTHER PROOF OF EULER'S FORMULA FOR ζ(2k)
    de Amo, E.
    Diaz Carrillo, M.
    Fernandez-Sanchez, J.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2011, 139 (04) : 1441 - 1444
12345