Digital Images

Digital Images

This lecture overviews digital image coordinate systems and their mathematical representations (vectors, matrices). Memory allocation issues are presented. Elementary digital image processing and geometrical transformations operations are explained.

Image Sampling

This lecture overviews spatial image frequency content and image sampling.  Rectangular and hexagonal sampling grids are presented. Sampled image frequency content is analyzed and a 2D version of Shannon theorem is presented. Analog image  reconstruction from digital images is overviewed.

Image Typology

This lecture overviews various digital image types: 2D images, 3D images (videos, medical volumes, hyperspectral images). Multichannel images, e.g., colour and multispectral images come next. RGBD images and graphics texture images. Elementary digital image processing operations are explained. Noise generators for digital image processing are also overviewed.

Introduction to Image Processing

This lecture overviews  digital images, image processing and image analysis. 1D signals, 2D signals (images), 3D signals (videos, medical volumes) are presented. Multichannel images, e.g., color and multispectral images come next. Image processing and signal analysis are defined and their differences from other related disciplines are explained. Notable image processing topics (image filtering, Image contrast… Continue reading Introduction to Image Processing

Computational Geometry

This lecture overviews Computational Geometry that has many applications in Computer Graphics, Robotics, Geographic Information Systems, CAD/CAM. It covers the following topics in detail: Convex Hull, Voronoi Diagrams, Delaunay Triangulation, Line Segment Intersection, Point Location.

Mathematical Morphology

This lecture overviews Mathematical Morphology  that has many applications in digital image processing, analysis and computer vision. It covers the following topics in detail: Mathematical Morphology operations (Minkowski addition/subtraction, erosion, dilation, opening, closing), Greyscale Morphology, Skeletons, Shape Decomposition, Voronoi tessellation, Watershed transform.