On Ullman's theorem in computer vision

Both in the plane and in space, we invert the nonlinear Ullman transformation for 3 points and 3 orthographic cameras. While Ullman’s theorem assures a unique reconstruction modulo a reflection for 3 cameras and 4 points, we find a locally unique reconstruction for 3 cameras and 3 points. Explicit reconstruction formulas allow to decide whether picture data of three cameras seeing three points can be realized as a point-camera configuration.

• Type: Journal
• Year: 2007
• Where: CORR
• Authors: Oliver Knill, Jose Ramirez-Herran
• Keywords: Cameras, CORR 2007, Education, Nonlinear Ullman Transformation, Unique Reconstruction