Points, Lines, and Planes and Their Optimal Estimation

Abstract. We present a method for estimating unknown geometric entities based on identical, incident, parallel or orthogonal observed entities. These entities can be points and lines in 2D and points, lines and planes in 3D. We don’t need any approximate values for the unknowns. The entities are represented as homogeneous vectors or matrices, which leads to an easy formulation for a linear estimation model. Applications of the estimation method are manifold, ranging from 2D corner detection to 3D grouping.

• Type: Conference
• Year: 2001
• Where: DAGM
• Authors: Stephan Heuel
• Keywords: DAGM 2001, Entities, Image Processing, Orthogonal Observed Entities, Unknown Geometric Entities