JPEG2000 Encoding and Decoding of Monochrome Images with Performance Analysis

In this documentation, we implement JPEG2000 encoding and decoding for monochrome images. The implementation utilizes MATLAB's image processing toolbox functions, specifically employing wavelet transformation and embedded block coding algorithms characteristic of JPEG2000 standards. We calculate compression ratios by comparing original file sizes with encoded data sizes, and quantify errors using metrics like PSNR (Peak Signal-to-Noise Ratio) and MSE (Mean Squared Error). Through visual comparison and quantitative analysis between source and reconstructed images, we gain insights into JPEG2000 encoding efficiency and evaluate its performance in image compression applications. This experiment provides valuable information about image encoding/decoding processes, helping better understand the practical applications and optimization techniques in image processing. The code structure includes key functions for wavelet decomposition, quantization, and entropy coding phases, demonstrating the complete JPEG2000 workflow.