Title :
Optimum fiducials under weak perspective projection
Author :
Bruckstein, Alfred M. ; Holt, Robert J. ; Huang, Thomas S. ; Netravali, Arun N.
Author_Institution :
Lucent Technol., Bell Labs., Murray Hill, NJ, USA
Abstract :
We investigate how a given fixed number of points should be located in space so that the pose of a camera viewing them from unknown locations can be estimated with the greatest accuracy. We show that optimum solutions are obtained when the points form concentric complete regular polyhedra. For the case of optimal configurations, we provide a worst-case error analysis and use it to analyze the effects of weak perspective approximation to true perspective viewing. Comprehensive computer simulations validate the theoretical results
Keywords :
computational geometry; image sequences; object detection; optimisation; camera view; computer simulations; concentric complete regular polyhedra; optimal configurations; optimum fiducials; optimum solutions; pose estimation; true perspective viewing; unknown locations; weak perspective approximation; weak perspective projection; worst-case error analysis; Application software; Cameras; Computer simulation; Electrical capacitance tomography; Error analysis; Iterative algorithms; Orbital robotics; Robot vision systems; Space technology; Working environment noise;
Conference_Titel :
Computer Vision, 1999. The Proceedings of the Seventh IEEE International Conference on
Conference_Location :
Kerkyra
Print_ISBN :
0-7695-0164-8
DOI :
10.1109/ICCV.1999.791199