The invention discloses an
image noise reduction method based on complex
quaternion wavelets, and belongs to the technical field of
image processing. According to the method, definitions of complex
quaternion wavelet transform and inverse transform are provided, a corresponding
discretization method is provided, and a feasible scheme is provided for solving the color
distortion problem in the
color image noise reduction process. The method comprises the following steps: representing a
noise image by using a complex
quaternion; carrying out complex quaternion
wavelet transform
processing; carrying out quantization threshold
noise reduction; carrying out complex quaternion
wavelet inverse transform
processing; according to the invention, sub-band
decomposition and reconstruction are carriedout on an image by using complex quaternion
wavelet transform and inverse transform; according to the method, detail information and color information in the image are effectively represented, three color components of the
color image are always processed as a whole in the whole implementation process, the problem of color
distortion in the
image noise reduction process is solved, the
noise reduction quality is improved, and the method can be widely applied to the fields of image and
signal processing and the like.