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논문검색

Quaternion Discrete Tchebichef Moments and Their Applications

초록

영어

The concept of the quaternion is useful for colour image processing and recognition. This paper introduces quaternion discrete Tchebichef moments (QTM), which use the traditional Tchebichef moments (TM) of each colour channel to describe colour images. A set of invariants that are invariant to translation and scale transformations is introduced for colour object recognition and image classification. A theoretical framework is provided for the recognition of colour face images by combining the proposed quaternion Tchebichef moment functions with the sparse representation classification (SRC) strategy for improving recognition despite partial occlusions. Simulation results on standard colour face databases demonstrate the effectiveness of the proposed algorithm, even when the images include Gaussian or pepper-and-salt noise.

목차

Abstract
 1. Introduction
 2. Preliminary
  2.1. Quaternion Algebra
  2.2. Tchebichef Orthogonal Moments
 3. Colour Image Analysis using Quaternion Tchebichef Moments
 4. Colour Image Object Recognition using Quaternion Tchebichef Moments
  4.1. Quaternion Tchebichef Translation Invariants
  4.2. Quaternion Tchebichef Scale Invariants
  4.3. Face Recognition based on Quaternion Tchebichef Moments
 5. Experimental Results
  5.1. Invariance Tests
  5.2. SRC-based QTM for Colour Face Recognition
 6. Conclusions
 Acknowledgements
 References

저자정보

  • Hongqing Zhu Department of Electronics and Communications Engineering, East China University of Science and Technology, Shanghai 200237, China
  • Qian Li Department of Electronics and Communications Engineering, East China University of Science and Technology, Shanghai 200237, China
  • Qian Liu Department of Electronics and Communications Engineering, East China University of Science and Technology, Shanghai 200237, China

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