Abstract

This lecture overviews Set Theory that has many applications in Probability/Statistics, Machine Learning and Computer Vision. It covers the following topics in detail: Sets (operations, properties), Fields, Fuzzy sets (operations, properties), Applications (Mathematical Morphology, Image Segmentation, Data Clustering, Object detection/tracking performance metics).

Image segmentation in two sets (foreground and background).

Intersection-over-Union ration for object tracking performance assessment.

Set Theory v2.4 - Summary