Title
A novel algebraic solution to the perspective-three-line pose problem
Abstract
In this work, we present a novel algebraic method to the perspective-three-line (P3L) problem for determining the position and attitude of a calibrated camera from features of three known reference lines. Unlike other methods, the proposed method uses an intermediate camera frame F and an intermediate world frame E, with sparse known line coordinates, facilitating formulations of the P3L problem. Additionally, the rotation matrix between the frame E and the frame F is parameterized by using its orthogonality, and then a closed-form solution for the P3L pose problem is obtained from subsequent substitutions. This algebraic method makes the processes more easily followed and significantly improves the performance. The experimental results show that the proposed method offers numerical stability, accuracy and efficiency comparable or better than that of state-of-the-art method.
Year
DOI
Venue
2020
10.1016/j.cviu.2018.08.005
Computer Vision and Image Understanding
Keywords
Field
DocType
41A05,41A10,65D05,65D17
Algebraic solution,Computer vision,Rotation matrix,Parameterized complexity,Algebraic method,Algorithm,Orthogonality,Line coordinates,Artificial intelligence,Numerical stability,Mathematics
Journal
Volume
Issue
ISSN
191
1
1077-3142
Citations 
PageRank 
References 
0
0.34
13
Authors
3
Name
Order
Citations
PageRank
Ping Wang19344.15
Guili Xu2335.98
Yuehua Cheng3465.76