Image Denoising Based on Wavelet Edge Detection by Scale Multiplication

A novel image denoising scheme based on edge detection by scale multiplication in wavelet domain is presented. The dyadic wavelet transforms of B-spline at two adjacent scales are multiplied as a function to magnify the edge structures and suppress the noise. In view of this correlation, the edges of an image are determined by the dual-threshold judgment to the scale product. Apply hard thresholding to the non-edge coefficients in the high frequency subbands at each scale and retain the edge coefficients. Then reconstruct the modified coefficients and obtain the denoised image. The experiment shows that image denoising using this new method performs better than that using the traditional wavelet denoising.