Rigid Body Structure and Motion From Two-Frame Point-Correspondences Under Perspective Projection
This addresses a fundamental limitation in computer vision for researchers, showing that two frames are insufficient for 3D reconstruction under perspective projection, which is an incremental result building on prior work for orthogonal projection.
The paper tackles the problem of recovering 3D structure and motion from two-frame point correspondences under perspective projection, demonstrating that it is impossible due to total uncertainty about the camera's focal point relative to the projection plane.
This paper is concerned with possibility of recovery of motion and structure parameters from multiframes under perspective projection when only points on a rigid body are traced. Free (unrestricted and uncontrolled) pattern of motion between frames is assumed. The major question is how many points and/or how many frames are necessary for the task. It has been shown in an earlier paper {Klopotek:95b} that for orthogonal projection two frames are insufficient for the task. The paper demonstrates that, under perspective projection, that total uncertainty about relative position of focal point versus projection plane makes the recovery of structure and motion from two frames impossible.