Abstract
By using the commutative Clifford algebra method to model for a color image,the parallel processing of R,G and B components in the color image can be realized in a holistic manner and the integrating processing for the color image can be implemented. This paper reviews the progress of color image modeling,researches a type of commutative Clifford algebra,namely Clcom2and gives the definitions of the arithmetic operations,unit element,inverse element,conjugation,and the norm for the commutative Clifford algebra. Then,it describes the expression of the color image based on the commutative Clifford algebra and introduces an application example of this method: the edge detection of color image. In comparison with the quaternion-based color image modeling,the proposed method can remove the data redundancy and reduce the computational complexity to the utmost extent. The proposed color image modeling method can be applied in color image processing tasks as a useful tool.
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