A Study on the P3P Problem

Authors:
Jianliang Tang;Wensheng Chen;Jie Wang
Affiliations:
College of Mathematics and Computational Science, Shenzhen University, Shenzhen, China 518060 and National Laboratory of Pattern Recognition, Institute of Automation, CAS, Beijing, China 100080;College of Mathematics and Computational Science, Shenzhen University, Shenzhen, China 518060;Key Laboratory of Multimedia and Intelligent Software College of Computer Science and Technology, Beijing University of Technology, Beijing, China 100022
Venue:
ICIC '08 Proceedings of the 4th international conference on Intelligent Computing: Advanced Intelligent Computing Theories and Applications - with Aspects of Theoretical and Methodological Issues
Year:
2008

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Abstract

In this paper, we focus on the number of solution for the Perspective-Three-point problem (P3P) in some geometrical constraints of 3 points, which is a common problem in applied mathematics and computer vision. We use Wu's zero decomposition method to find a complete triangular decomposition of a practical configuration for the P3Pproblem. By the Wu's method, we also obtain some sufficient conditions under which there are multi-solution for the P3Pproblem.