Optical flow constraint in homogeneous coordinate and its application to optimal velocity estimation

Abstract

A method of estimating optical flow by introducing a projective space of two-dimensional velocity is proposed. This approach make it possible to analyze measurement error in both spatial- and temporal-differential coefficients of image in a unified manner. In this projective space, velocity estimation can be formulated based on singular value decomposition. It is proved from simulations that estimation error in velocity can be reduced.