1. Discrete Image and Its Representation - Mathematical Formulations of Image Discretization and Matrix Representation
2. Discrete 2D Transformations - Mathematical Formulations of Basic Transformations for Image Processing
3. Discrete 2D Operators - Mathematical Foundations of Main Operators in Image Processing (Local, Point-wise, Global)
4. Image Enhancement - Noise Suppression, Contrast and Color Adjustment, Sharpening, Edge Highlighting
5. Feature Extraction from Image Data - Problem Formulation, Basic Overview, and Principles of Methods
6. Edge Representation - Detection and Adjustment of Edges in an Image Using Gradient Operators
7. Image Segmentation - Overview and Basic Principles of Common Image Segmentation Methods
8. Morphological Operators for 2D Binary Images
9. Approaches for Image Classification - Overview of Basic Principles
10. Image Registration - Geometric Transformations, Image Interpolation, Similarity Criteria, and Registration Approach with Optimization Algorithm
11. Reconstruction from Tomographic Projections - Mathematical Principles of Basic CT Data Reconstruction Methods from Projections (FBP, Algebraic, and Combined Approaches) 

1. Basic operations with discrete images, image spectrum, and basic 2D functions, verification of Fourier transform properties.
2. Discrete 2D operators - point-wise operations (contrast adjustment, gamma correction, etc.) and local operations (edge enhancement, image sharpening, noise reduction).
3. Feature extraction - demonstration of feature extraction from the frequency domain, convolution-based features, texture analysis, and adaptive filtering.
4. Edge detection - implementation of methods based on 1st derivative, 2nd derivative, and combined approaches.
5 .Image segmentation - simple, adaptive, multi and semi-thresholding, Otsu's method, region growing, watershed, parametric and geometric flexible contours, morphological operations.
6. Object recognition - Implementation of the Hough transform for lines and circles.
7. Implementation of 2D interpolation, introduction and implementation of rigid and flexible geometric transformations, final implementation of image registration and fusion.
8. Reconstruction of tomographic images - Implementation of the Radon transform, sinogram construction, plain and filtered back-projection, reconstruction with fan projections.