1. Fundamentals of Digital Images: Fundamental steps in digital image processing. Imaging systems and image acquisition. Sampling and quantization. Representing digital images. Topology of digital images. 2. Image Enhancement: Histogram processing. Arithmetic/logic operations. Spatial filtering. Fourier transform and filtering in the frequency domain. 3. Morphological Image processing: Morphological operations (erosion, dilation, opening, closing). Morphological algorithms (boundary extraction, region filling, extraction of connected components, convex hull, thinning, thickening, skeletons). 4. Image segmentation; Edge detection and linking. Boundary detection. Thresholding. Region-based segmentation. 5. Representation and description: Chain codes, polygonal approximation, signatures, skeletons. Boundary- and region-based description. Feature extraction. Estimation of geometric features. Part of the course is organized in the form of independent study and research work in the field of discrete mathematics and digital image processing. The study and research work involves active study of primary scientific sources, organization and conduction of experiments and statistical data analysis, numerical simulations, and possibly writing a paper in the filed of discrete mathematics.