MATLAB Source Code for Constructing Multiwavelet Bases Using Recursive Iterative Method

Below is the MATLAB source code implementing a recursive iterative algorithm for constructing multiwavelet bases, designed for 2D image multiwavelet decomposition. The algorithm features parameter-adjustable functionality to generate different types of wavelet bases, accommodating diverse application requirements through customizable filter coefficients and iteration depths. The implementation includes core functions for recursive refinement of scaling functions and wavelet functions, with matrix-based computations ensuring numerical stability. We provide usage examples and detailed explanations covering key aspects such as initialization parameters, iteration control, and decomposition levels to help users understand implementation details and practical applications. The code structure separates base construction from decomposition operations, allowing modular usage. We recommend studying relevant literature on multiwavelet decomposition to gain deeper insights into the theoretical foundations and advanced applications of this technique, particularly regarding matrix dilation equations and perfect reconstruction conditions.