Alignment and Correspondence Using Singular Value Decomposition

Bin Luo, Edwin R. Hancock

Abstract: This paper casts the problem of point-set alignment and correspondence into a unified framework. The utility measure underpinning the work is the cross-entropy between probability distributions for alignment and assignment errors. We show how Procrustes alignment parameters and correspondence probabilities can be located using dual singular value decompositions. Experimental results using both synthetic and real images are given.