MATLAB Implementation of Wavelet Denoising with Local Adaptive Thresholding

This MATLAB-based wavelet denoising approach utilizes inter-scale correlations of wavelet coefficients to address limitations in conventional hard and soft thresholding methods. By introducing a modified compromise method that multiplies the threshold obtained from a double shrinkage function by an appropriate coefficient, we developed a novel locally adaptive denoising algorithm in the wavelet domain. The algorithm effectively removes noise while preserving high-frequency image details through intelligent threshold adjustment and scale-dependent coefficient processing. Experimental results demonstrate superior performance in both noise removal and detail preservation compared to traditional methods.