Hypercomplex polar Fourier analysis for color image

Zhuo Yang, Seiichiro Kamata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Citations (Scopus)

Abstract

Fourier transform is a significant tool in image processing and pattern recognition. By introducing hypercomplex number, hypercomplex Fourier transform [1] treats signal as vector field and generalizes conventional Fourier transform. Inspired from that, hypercomplex polar Fourier analysis is proposed in this paper. This work extends conventional polar Fourier analysis [5]. The proposed method can handle hypercomplex number represented signals like color image. The hypercom-plex polar Fourier analysis is reversible that means it can be used to reconstruct image. The hypercomplex polar Fourier descriptor has rotation invariance property that can be used for feature extraction. Due to the noncommutative property of quaternion multiplication, both left-side and right-side hypercomplex polar Fourier analysis are discussed and their relationships are also established in this paper. The experimental results on image reconstruction, rotation invariance and color plate test are given to illustrate the usefulness of the proposed method as an image analysis tool.

Original languageEnglish
Title of host publicationProceedings - International Conference on Image Processing, ICIP
Pages2117-2120
Number of pages4
DOIs
Publication statusPublished - 2011
Event2011 18th IEEE International Conference on Image Processing, ICIP 2011 - Brussels
Duration: 2011 Sep 112011 Sep 14

Other

Other2011 18th IEEE International Conference on Image Processing, ICIP 2011
CityBrussels
Period11/9/1111/9/14

Fingerprint

Fourier analysis
Color
Fourier transforms
Invariance
Image reconstruction
Image analysis
Pattern recognition
Feature extraction
Image processing

Keywords

  • hy-percomplex polar Fourier descriptor
  • hypercomplex polar Fourier analysis
  • rotation invariance

ASJC Scopus subject areas

  • Software
  • Computer Vision and Pattern Recognition
  • Signal Processing

Cite this

Yang, Z., & Kamata, S. (2011). Hypercomplex polar Fourier analysis for color image. In Proceedings - International Conference on Image Processing, ICIP (pp. 2117-2120). [6116028] https://doi.org/10.1109/ICIP.2011.6116028

Hypercomplex polar Fourier analysis for color image. / Yang, Zhuo; Kamata, Seiichiro.

Proceedings - International Conference on Image Processing, ICIP. 2011. p. 2117-2120 6116028.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yang, Z & Kamata, S 2011, Hypercomplex polar Fourier analysis for color image. in Proceedings - International Conference on Image Processing, ICIP., 6116028, pp. 2117-2120, 2011 18th IEEE International Conference on Image Processing, ICIP 2011, Brussels, 11/9/11. https://doi.org/10.1109/ICIP.2011.6116028
Yang Z, Kamata S. Hypercomplex polar Fourier analysis for color image. In Proceedings - International Conference on Image Processing, ICIP. 2011. p. 2117-2120. 6116028 https://doi.org/10.1109/ICIP.2011.6116028
Yang, Zhuo ; Kamata, Seiichiro. / Hypercomplex polar Fourier analysis for color image. Proceedings - International Conference on Image Processing, ICIP. 2011. pp. 2117-2120
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