3D Visualization of Gabor Filter with Multi-scale and Multi-orientation Implementation

This program implements 3D visualization of Gabor filters and performs Gabor filtering on an image through frequency-domain convolution, demonstrating one scale with six different orientations. Gabor filter is a widely used image processing tool particularly effective for extracting texture features from images. By applying frequency-domain convolution, the program computes Gabor filter responses across different scales and orientations, providing deeper insights into image structure and detailed characteristics. The implementation utilizes mathematical formulation of Gabor filters with specific wavelength and orientation parameters, where the 3D visualization displays the real and imaginary components of the complex Gabor kernel. The frequency-domain convolution is efficiently computed using Fast Fourier Transform (FFT) operations, converting both the input image and Gabor kernels to frequency domain before performing pointwise multiplication and inverse FFT. Key functions include parameter configuration for scale and orientation settings, kernel generation using Gaussian-modulated complex sinusoids, and optimized convolution using FFT-based processing. This implementation simplifies the application of Gabor filters for image processing tasks, making texture analysis and feature extraction more accessible. The program's structured approach allows users to easily modify parameters and extend functionality for multi-scale analysis. We hope this tool proves valuable for your image processing and computer vision applications.