MATLAB Implementation of Bilateral Filtering for Edge-Preserving Smoothing

This program implements the Bilateral filtering algorithm, designed to achieve edge-preserving smoothing for both grayscale and color images. The algorithm combines information from both spatial and intensity domains by calculating similarity between pixels and their neighbors through Gaussian-weighted distance functions. Key implementation aspects include: spatial Gaussian kernel for geometric closeness, range Gaussian kernel for photometric similarity, and pixel-wise normalization. The filtering process maintains edge details while reducing image noise by giving lower weights to pixels with significant intensity differences. This approach effectively preserves sharp edges during smoothing operations, making it particularly valuable for applications requiring noise reduction without losing important image structures. The MATLAB implementation typically utilizes sliding window operations with separate sigma parameters for domain and range weighting, providing flexible control over smoothing intensity and edge preservation sensitivity.