Two-Dimensional Wavelet Transform (Forward and Inverse) in MATLAB Environment
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Resource Overview
Implementation of 2D wavelet transform (forward and inverse) using two-dimensional convolution in MATLAB, featuring a sub-function for generating wavelet coefficients (including both decomposition and reconstruction coefficients). Users can extend functionality by adding custom coefficients.
Detailed Documentation
In the MATLAB environment, two-dimensional wavelet transforms (both forward and inverse) can be implemented using two-dimensional convolution operations. The implementation includes a dedicated sub-function that generates wavelet coefficients required for both decomposition and reconstruction phases. This function utilizes convolution-based filtering with separable wavelet filters applied along rows and columns. The algorithm follows a multi-resolution analysis approach where each decomposition level produces approximation and detail coefficients. Users can modify the coefficient generation function to incorporate additional wavelet families or custom filter banks, providing flexibility for specific application requirements.
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