Mathematical models and methods for Image Processing

Here are the assignments I worked on for the course "Mathematical models and methods for Image Processing" held by Prof. Giacomo Boracchi at Politecnico di Milano during the A.Y. 2023-2024.

Gradient Descent and Optimization

• Gradient Descent (lez12_gradient_descent)
• ISTA (lez13_ISTA)
• FISTA (lez14_FISTA)
• IRLS MOD for L1 Denoising (lez15_IRLS_MOD_l1denoising)

Dictionary Learning and Sparse Representations

• DCT Images (Lez2_DCT_Images)
• Sliding DCT (Lez3_SlidingDCT)
• Matching Pursuit (lez6_matching_pursuit)
• OMP (lez7_OMP)
• KSVD (lez10_KSVD)
• OMP Denoising (lez9_OMPdenoising)
• Limitations of Sparsity (Lez4_limitations_of_sparsity)

Image Denoising and Inpainting

• Non-Local Means (NLMeans) (lez18_NLMeans)
• Inpainting (lez11_inpainting)

Anomaly Detection and Robust Fitting

• Anomaly Detection (lez17_anomaly_detection)
• Robust Fitting (lez22_Robust_Fitting)
• Multi-model Fitting (lez24_Multi_model_fitting)

Local Polynomial Approximation (LPA)

• LPA (lez20_LPA)
• LPA-ICI (1D) (lez21_LPA_ICI)
• LPA-ICI (2D) (lez23_LPA_ICI_2D)

Foundations

• Orthonormal Basis (lez_1_orthonormal_basis)
• Singular Value Decomposition (SVD) (Lez5_svd)

Each assignment demonstrates different techniques and algorithms applied to image processing tasks.