A ne Epipolar Geometry via Factorization Method

We present the intuitive interpretation of a ne epipolar geometry for the orthographic, scaled orthographic, and paraperspective projection models in terms of the factorization method for the generalized a ne projection (GAP) model proposed by Fujiki and Kurata (1997). Using the GAP model introduced by Mundy and Zisserman (1992), each a ne projection model can be resolved into the orthographic projection model by the introduction of virtual image planes, then the a ne epipolar geometry can be simply obtained from the estimates of the factorization method.