  This paper introduces the idea of the color Clifford Hardy signal, which can
be used to process color images. As a complex analytic function's
high-dimensional analogue, the color Clifford Hardy signal inherits many
desirable qualities of analyticity. A crucial tool for getting the color and
structural data is the local feature representation of a color image in the
color Clifford Hardy signal. By looking at the extended Cauchy-Riemann
equations in the high-dimensional space, it is possible to see the connection
between the different parts of the color Clifford Hardy signal. Based on the
distinctive and important local amplitude and local phase generated by the
color Clifford Hardy signal, we propose five methods to identify the edges of
color images with relation to a certain color. To prove the superiority of the
offered methodologies, numerous comparative studies employing image quality
assessment criteria are used. Specifically by using the multi-scale structure
of the color Clifford Hardy signal, the proposed approaches are resistant to a
variety of noises. In addition, a color optical flow detection method with
anti-noise ability is provided as an example of application.
