title: How to put probabilities on homographies.
abstract: We present a family of "normal" distributions over a matrix group together with a simple method for estimating its parameters. In particular, the mean of a set of elements can be calculated. The approach is applied to planar projective homographies, showing that using priors defined in this way improves object recognition.
authors.affiliation: Computer Science Department, The Hebrew University of Jerusalem, Israel 91904. aristo@cs.huji.ac.il
authors.forename: Evgeni
authors.initials: E
authors.lastname: Begelfor
authors.forename: Michael
authors.initials: M
authors.lastname: Werman
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D001499:Bayes Theorem; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D007089:Image Enhancement / Q000379:methods; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D016247:Information Storage and Retrieval / Q000379:methods*; D015233:Models, Statistical; D010363:Pattern Recognition, Automated / Q000379:methods*; D016008:Statistical Distributions; D013382:Subtraction Technique