The modified generic polar harmonic transforms for image representation

  • Xilin LiuEmail author
  • Yongfei Wu
  • Zhuhong Shao
  • Jiasong Wu
Theoretical advances


This paper introduces four classes of orthogonal transforms by modifying the generic polar harmonic transforms. Then, the rotation invariant feature of the proposed transforms is investigated. Compared with the traditional generic polar harmonic transforms, the proposed transforms have the ability to describe the central region of the image with a parameter controlling the area of the region. Experimental results verified the image representation capability of the proposed transforms and showed better performance of the proposed transform in terms of rotation invariant pattern recognition.


Modified polar harmonic transforms Polar harmonic transforms Rotation invariants Image representation 



This work was supported by the National Natural Science Foundation of China under Grant Nos. 61601311 and 61876037, Project of Beijing Excellent Talents (No. 2016000020124G088), Beijing Municipal Education Research Plan Project (SQKM201810028018), Project supported by the Natural Science Foundation of Shanxi Province, China (No. 201801D221186), Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (No. 2017141), and School Foundation of Taiyuan University of Technology (Nos. 2017QN11 and 2017QN12).


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  1. 1.College of Data ScienceTaiyuan University of TechnologyShanxiChina
  2. 2.College of Information EngineeringCapital Normal UniversityBeijingChina
  3. 3.School of Computer Science and EngineeringSoutheast UniversityNanjingChina
  4. 4.Centre de Recherche en Information Biomédicale Sino-françaisNanjingChina

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