Local Mean Decomposition Method Implementation

This is a MATLAB program implementing the Local Mean Decomposition (LMD) method, a sophisticated signal processing technique commonly applied for noise reduction and image enhancement in digital image processing. The implementation features a structured algorithmic approach that divides the input signal into local segments, computes weighted averages within each window, and reconstructs the signal with enhanced characteristics. Key functions include adaptive window sizing, local mean calculation using convolution operations, and boundary condition handling through symmetric padding. The program has been thoroughly debugged in MATLAB 7.0, ensuring computational accuracy and reliability through comprehensive testing scenarios. This implementation serves as both an educational tool for understanding LMD's underlying principles and a practical solution for real-world image processing applications. Researchers can utilize this codebase to explore advanced LMD applications while developers can integrate the core algorithms into production systems to improve image quality and processing accuracy through optimized local feature preservation.