Statistically Testing Uncertain Geometric Relations

  title={Statistically Testing Uncertain Geometric Relations},
  author={Wolfgang F{\"o}rstner and Ansgar Brunn and Stephan Heuel},
This paper integrates statistical reasoning and Grassmann-Cayley algebra for making 2D and 3D geometric reasoning practical. The multi-linearity of the forms allows rigorous error propagation and statistical testing of geometric relations. This is achieved by representing all objects in homogeneous coordinates and expressing all relations using standard matrix calculus. 1 Motivation Many Computer Vision tasks involve grouping of geometric elements within one image or in 3D space. This requires… CONTINUE READING