LI Yafeng, FENG Xiangchu, WANG Weiwei. Color-Dependent Diffusion Equations Based on Quaternion Algebra[J]. Chinese Journal of Electronics, 2012, 21(2): 277-282.
Citation: LI Yafeng, FENG Xiangchu, WANG Weiwei. Color-Dependent Diffusion Equations Based on Quaternion Algebra[J]. Chinese Journal of Electronics, 2012, 21(2): 277-282.

Color-Dependent Diffusion Equations Based on Quaternion Algebra

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  • Received Date: March 31, 2010
  • Revised Date: October 31, 2011
  • Published Date: April 24, 2012
  • Based on quaternion algebra, this paper proposes two new smoothing models called colordependent diffusion equations. One model is designed to only smooth the components in the direction of a chosen color. The other model is designed to only smooth the components perpendicular to the direction of a chosen color.
    To improve the color selectivity, a weight factor W is proposed. For example, if we filter the parallel components of the image, greater weight is given to pixels with the color close to the chosen color.
    Finally, a color-dependent diffusion scheme is presented, which can detect a chosen color edge or low-pass filter a certain color efficiently. Experimental results demonstrate the effectiveness of this scheme applied to natural color images.

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