Image Inpainting Using Total Variation (TV) Method with MATLAB Implementation

This documentation provides MATLAB source code for image inpainting using the Total Variation (TV) method. The implementation includes both heat diffusion restoration and multi-scale techniques designed to enhance image quality and clarity. The Total Variation method is a widely-used image restoration technique that achieves denoising and inpainting effects by minimizing the total variation of the image. The heat diffusion restoration approach is based on thermodynamic principles, recovering image details through thermal conduction processes. The multi-scale method integrates image information at different scales to achieve more comprehensive restoration results. The code structure includes key functions for: 1. TV regularization implementation using gradient descent optimization 2. Heat equation discretization for diffusion-based restoration 3. Multi-scale pyramid construction and processing 4. Edge-preserving smoothing algorithms These source codes serve as practical resources for understanding and applying image inpainting algorithms, providing valuable reference material for both learning and research purposes. The implementation demonstrates proper handling of boundary conditions and includes parameter tuning examples for optimal results. We hope this documentation proves beneficial for your image processing projects!