Using Symmetries in Solving Minimal Problems in Computer Vision submitted by Viktor Korotynskiy

The topic of Viktor Korotynskiy’s bachelor thesis is symmetries in polynomial systems. This is an interesting problem since finding the symmetries of a given polynomial system may significantly simplify the solution of the system. Many problems in computer vision require solving systems of polynomial equations. Therefore, using symmetries may result in the improved efficiency of existing solutions to many computer vision problems or may lead to efficient solutions of unsolved problems. Symmetries are well studied in algebraic geometry but have only recently been used in computer vision [9]. Their obscurity in computer vision applications is likely due to the deep knowledge of algebraic geometry that is required to understand the concept of symmetries.