MATLAB Implementation of Gabor Filter for Edge Detection and Texture Analysis

Application Background: Gabor filter serves as a linear filter for edge detection in image processing, with frequency and directional responses similar to the human visual system. Research shows Gabor filters excel in texture representation and separation, consisting of Gaussian kernel functions modulated by sinusoidal plane waves in the spatial domain. Technical Approach: Comparative analysis of PCA dimensionality reduction examples reveals consistent methodology - extracting covariance matrices from original data, computing eigenvectors/eigenvalues, and generating transformation matrices through KL transformation based on eigenvalue-sorted eigenvectors.