MULTI-VIEW AND MULTI-PLANE CONSTRAINTS ON HOMOGRAPHIES
多平面多视点单应矩阵间的约束

Homography estimation is widely used for 3D motion analysis, mosaicing, camera calibration and more. This paper is concentrated on the investigation on multi view and multi plane constraints on homographies. The main results are: A. when the camera is under a pure translation, then, 1) both the homographies of all planes between two view points, and the homographies of a plane for all view points are of rank 4, 2) the standard homographies in multi view and multi plane case are still of rank 4, 3) the above two results keep true for the relative homographies in the case of general camera motion; B. when the camera is under a general motion, 1) the homographies of all planes between two view points are also of rank 4, 2) however, the rank should be 9 rather than 4 in other cases.