Last update: Sept. 8, 1998

Publications on the Retrieval of Perspective :

• Review and analysis of solutions of the 3 point perspective pose estimation problem, Haralick et al., 1994.
• Extracting Projective Information from Single Views of 3D Point Sets, C.Rothwell et al., 1993.
• The Perspective View of 3 Points, W.J.Wolfe et al., 1991.
• Problems of magnification & minification: An explanation of the distorsions of distance, slant, shape and velocity, E.A.Lumsden, 1980.

BibTeX references.

Estimation of the Perspective Projection Matrix

The problem of estimating the projection matrix is usually treated by making the assumption that a larger number of points can be identified or tracked in the image, as in the application we are aiming at. To obtain a unique solution of the problem, at least 6 points (in a general position) are necessary. However it is interesting fro certain applications to investigate, if pose estimation is, at all, possible with three or at least four points. This particular problem has already been focused on long before the advent of computer vision and a review of different solution strategies is provided here. The main result states that we can, in general, calculate the pose from 3 points, but we might obtain up to 4 distinct solutions. This is not disturbing if we are working with image sequences. By imposing smoothness constraints on the motion of the tracked points, we can eliminate irrelevant solutions.

Page created & maintained by Frederic Leymarie, 1998.
Comments, suggestions, etc., mail to: leymarie@lems.brown.edu