Industrial Relations and "Humanware"

This is a preliminary paper. Please do not quote without the permission of the author. The research on which this paper is based has been conducted with the collaboration of John Paul MacDuffie, MIT. The researchers owe much to the warm cooperation of managers, employees, and union officials of Japanese auto companies and joint venture companies in the U.S. as well as American auto companies and the UAW. We would like to express our sincere appreciation for their assistance.

Geometric and Algebraic Aspects of 3D Affine and Projective Structures from Perspective 2D Views

We investigate the differences --- conceptually and algorithmically --- between affine and projective frameworks for the tasks of visual recognition and reconstruction from perspective views. It is shown that an affine invariant exists between any view and a fixed view chosen as a reference view. This implies that for tasks for which a reference view can be chosen, such as in alignment schemes for visual recognition, projective invariants are not really necessary. We then use the affine invariant to derive new algebraic connections between perspective views. It is shown that three perspective views of an object are connected by certain algebraic functions of image coordinates alone (no structure or camera geometry needs to be involved).