Geometric Spaces

This lecture overviews Geometric Spaces that has many applications in Machine Learning and Digital Signal Processing and Analysis. It covers the following topics in detail: Vector Spaces, Affine Spaces, Metric Spaces.

Geometry

This lecture overviews Geometry   that has many applications in Computer Vision and Machine Learning. It covers the following topics in detail: Vector calculus (inner/cross vector products, coplanarity), 3D geometric transformations (rotation, translation,quarternions), Projective geometry: homogenous coordinates, Perspective (or central) projections, Vanishing points, Cross-ratio, Conic sections.

Mathematical Analysis

This lecture overviews Mathematical Analysis  that has many applications in Computer Vision, Machine Learning and Autonomous Systems. It covers the following topics in detail: 1D/2D/3D functions with applications in signal, image and video processing. Analytical and numerical differentiation of 1D functions. Analytical and numerical integration of 1D functions. Analytical and numerical partial differentiation of 2D/3D/spatiotemporal functions. Laplacian operator. Applications in image edge detection, partial differential equations and anisotropic diffusion.

Double integrals. Contour Integration and its applications in complex function analysis. Optimization and steepest descent. 1D/2D/3D Fourier transforms and their application in signal/image analysis.

Soccer Video Analysis

This lecture overviews Soccer Video Analysis that has many applications in Human-centered Computing, Image and Video Analysis and Sports Analytics/coaching. It covers the following topics in detail: Playfield Detection. Ball Detection and Tracking. Player Detection and Tracking. Referee Assistance. Tactics Analysis.

Athlete Motion Analysis

This lecture overviews Athlete Motion Analysis that has many applications in Human-centered Computing, Image and Video Analysis and Sports coaching. It covers the following topics in detail: Motion Caption. Body pose. Rigid object motion. Articulated object motion. Motion Analysis in Sports.

Gesture Recognition

This lecture overviews Gesture Recognition that has many applications in Human-Machine Interaction (HMI), Human-Robot Interaction (HRI), Sign Language, Navigation or/and the manipulation in VR environment and Distance learning. It covers the following topics in detail: Hand morphology, Gesture types, Gesture Acquisition Devices, Human-Machine Interaction, Gesture Recognition Datasets, Algorithms of Gesture Recognition (3D CNN-Convolutional Neural Networks, 3D CNN+LSTMs, Deep learning methods for spatiotemporal systems, Skeleton-Based Gesture Recognition), Comparison of architectures, Problems in Gesture Recognition, Applications (HMI, HRI, Sign Language).