The invention relates to the technical field of
digital image processing, in particular to a
quaternion representation-based
color image denoising method for special affine matrix wavelets, which comprises the following steps of: for a to-be-denoised
color image, firstly, enabling R, G and B components of the
color image to correspond to three imaginary parts of a
quaternion so as to represent the three imaginary parts as
quaternion signals; secondly, mapping the quaternion
signal into a second-order
complex matrix value
signal through an
equidistant operator, decomposing the matrix value
signal by using multi-resolution analysis related to special affine
convolution in a matrix value function space, performing threshold
processing on detail coefficients, reconstructing the processed coefficients by using a
fast algorithm, and finally obtaining a reconstructed quaternion signal; and finally, restoring the matrix value signal into a quaternion signal through inverse mapping of an
equidistant operator, reading component values of each channel, and outputting a denoised color image. According to the method, the color image is processed as a whole, the complexity of quaternion
convolution is avoided, and the defects in the prior art are overcome.