λ-Transform:A Mathematical Tool for Accurate Shape Description
Author:
Affiliation:

Clc Number:

Fund Project:

National Natural Science Foundation of China (61372158); Natural Science Foundation of Jiangsu Province of China (BK20141487); Science and Technology Planning Project (Cooperation of Industry, Education and Academy) of Jiangsu Province of China (BY2016009-03); Program for Outstanding Science and Technology Innovation Team of Jiangsu Higher Education Institutions (2017-15); Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD)

  • Article
  • |
  • Figures
  • |
  • Metrics
  • |
  • Reference
  • |
  • Related
  • |
  • Cited by
  • |
  • Materials
  • |
  • Comments
    Abstract:

    Radon transform is a useful mathematical tool for shape analysis. It is a lossless transform and makes the extraction of structural shape features become very easy. However it cannot be directly applied to shape recognition due to its sensitivity to translation, scaling and rotation of the shape. The existing Radon transform based methods have had many attempts to remove the information of size, position and orientation of the shape from the Radon transform. However in these methods, the invariant features are achieved at the expense of useful shape features. To address this issue, a novel mathematical tool termed λ-transform is proposed for shape description.The λ-transform utilizes the relative position information between the parallel lines(encoded in a variable r∈[0,1]) and their integrals over the shape to construct a 2D function of the variable r and the direction angle θ of the line for shape description. This study theoretically proves that λ-transform is invariant to the translation and scaling and a rotation only makes it shift along the θ direction. It also theoretically concludes that λ-transform can effectively preserve the useful information of Radon transform. These desirable characteristic make λ-transform outperform the other Radon based methods for shape recognition. Tests on the proposed λ-transform are carried out on several commonly used shape image datasets, and the experimental results indicate it achieves better performance over other Radon based shape descriptors.

    Reference
    Related
    Cited by
Get Citation

王斌.λ-变换:一种用于形状精确描述的数学工具.软件学报,2017,28(12):3293-3305

Copy
Share
Article Metrics
  • Abstract:
  • PDF:
  • HTML:
  • Cited by:
History
  • Received:January 18,2017
  • Revised:April 07,2017
  • Adopted:
  • Online: July 20,2017
  • Published:
You are the firstVisitors
Copyright: Institute of Software, Chinese Academy of Sciences Beijing ICP No. 05046678-4
Address:4# South Fourth Street, Zhong Guan Cun, Beijing 100190,Postal Code:100190
Phone:010-62562563 Fax:010-62562533 Email:jos@iscas.ac.cn
Technical Support:Beijing Qinyun Technology Development Co., Ltd.

Beijing Public Network Security No. 11040202500063