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Edge detection of colour image based on quaternion fractional differential

Edge detection of colour image based on quaternion fractional differential

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  • Author(s): C.B. Gao 1, 2, 3 ; J.L. Zhou 1 ; J.R. Hu 1 ; F.N. Lang 2, 3
    • View affiliations
    • Affiliations: 1: School of Computer Science, Sichuan University, Chengdu, People's Republic of China
      2: College of Computer Science and Technology, Chengdu University, Chengdu, People's Republic of China
      3: Laboratory of Communication and Information Systems, Chengdu University, Chengdu, People's Republic of China
  • Source: Volume 5, Issue 3, April 2011, p. 261 – 272
    DOI:  10.1049/iet-ipr.2009.0409 , Print ISSN 1751-9659, Online ISSN 1751-9667
© The Institution of Engineering and Technology
Published

According to the development of the real fractional differential and its applications in the modern signal processing, the authors extend it to quaternion body and put forward a new concept: quaternion fractional differential (QFD), and apply it to edge detection of colour image. This method is called edge detection based on QFD. Simulation experiments indicate that this method has special advantages. Furthermore, the authors give an indicator to evaluate the effectiveness of different edge filters. Comparing with Sobel and mix edges of real fractional differential to every channels of colour image, they discover that QFD has fewer false negatives in the textured regions and is also better at detecting edges that are partially defined by texture, which means the authors can obtain much better results in the interesting regions using QFD and is more consistent with the characteristics of human visual system.

Inspec keywords: image colour analysis; filtering theory; image texture; edge detection

Other keywords: modern signal processing; quaternion body; edge filters; quaternion fractional differential; colour image; image texture; human visual system; edge detection

Subjects: Computer vision and image processing techniques; Filtering methods in signal processing; Image recognition

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