Pose determination from line-to-plane correspondences: existence condition and closed-form solutions

Consideration is given to a specific pose determination problem in which the sensory features are lines and the matched reference features are planes. The lines discussed are different from edge lines of an object in that they are not the intersection of boundary faces of the object. The author describes a polynomial method that, unlike previous methods, does not require prior knowledge about the location of the object. Closed-form solutions for orthogonal, coplanar, and parallel feature configurations of critical importance in real applications are derived. Basic findings concerning the necessary and sufficient conditions under which the pose determination problem can be solved are presented