Detail of the student project

Topic:Fast Equation Solving for Computer Vision and Robotics
Department:Katedra kybernetiky
Supervisor:doc. Ing. Tomáš Pajdla Ph.D.
Announce as:DP,BP
Description:Algebraic techniques have proved very useful in solving difficult problems in geometry of computer vision. We will aim at studying more advanced elements of algebraic geometry and applying them to real engineering problems.
Instruction:Review the state of the art in software for solving algebraic methods by homotopy continuation. Get acquainted with methods in Macaulay2. Suggest and implement an an optimized homotopy continuation method for solving problems in computer vision and robotics.
Bibliography:Literature will be provided by the supervisor.
Realization form:Code in Matlab and C++
Responsible person: Petr Pošík