Homomorphic Filtering Implementation

This is my coursework program written in Chinese focusing on homomorphic filtering. I welcome any corrections and suggestions from the community. In this assignment, I have implemented the homomorphic filtering algorithm, which is an image processing technique primarily used for contrast enhancement and detail extraction. The implementation follows the standard homomorphic filtering workflow: first applying logarithmic transformation to separate illumination and reflectance components, then using frequency domain filtering (typically with Butterworth or Gaussian filters) to suppress low-frequency illumination variations while enhancing high-frequency reflectance details. Homomorphic filtering finds extensive applications in various fields including medical imaging (enhancing X-rays and MRI scans) and satellite imagery (improving terrain details). Through this project, I aim to gain deeper understanding of homomorphic filtering principles and practical implementations while improving my programming skills in image processing algorithms. The code includes functions for Fourier transform operations, filter design in frequency domain, and inverse transformation to reconstruct the enhanced image. I greatly appreciate any feedback and suggestions for improvement!