Wolfgang Förstner, Ansgar Brunn, Stephan Heuel

Statistically Testing Uncertain Geometric Relations

Abstract

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.

Reference

Foerstner:         Heuel: