Contourlet Transform Implementation Source Code

This repository contains the implementation source code for Contourlet transform. For theoretical background, refer to the seminal paper by Do M.N. and Vetterli M. titled "The contourlet transform: an efficient directional multiresolution image representation" published in IEEE Transactions on Image Processing, 2005, 14(12), 2091-2106, which comprehensively details the principles and applications of Contourlet transform. The implementation features multi-scale decomposition using Laplacian pyramid filters followed by directional decomposition through directional filter banks (DFB). Key components include: - Pyramidal decomposition for multi-resolution analysis - Directional filter banks for capturing contour discontinuities - Perfect reconstruction structure ensuring invertible transforms - Efficient implementation of critical operations like downsampling, upsampling, and directional filtering The code structure typically includes main functions for forward transform (contourlet decomposition) and inverse transform (contourlet reconstruction), with submodules handling filter design, boundary processing, and coefficient organization across multiple scales and directions.