Complete Solution Classification for the Perspective-Three-Point Problem

By Xiao-Shan Gao, Xiaorong Hou, Jianliang Tang, Hang Cheng. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2003

1,008 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Computer Vision and Pattern Recognition, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/ad7c163793d4c09f29b621f165868ad912ec2dd6

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Citations in the corpus

Uncertainty-Driven 6D Pose Estimation of Objects and Scenes from a Single RGB Image (2016, background): “A hypothesis Hc′ is drawn by choosing four correspondences (i,μi,T ) and solving the perspective-n-point problem (PnP) [4, 16].”
Pose Estimation for Augmented Reality: A Hands-On Survey (2016, positive): “The estimation of the points depth is usually done by solving a fourth order polynomial equation [5], [39], [41], [105].”
A Robust O(n) Solution to the Perspective-n-Point Problem (2012, background): “The stability of the 3-point problem is limited due to its multiple solutions [10], [11].”
Revisiting the PnP Problem: A Fast, General and Optimal Solution (2013, background): “The minimal P3P problem has been systematically investigated in the literature, such as [5] and the recent work [12].”
Fast Keypoint Recognition Using Random Ferns (2010, methodology): “Hence, the learned geometry can be used to eliminate outliers while estimating the camera pose using the P3P algorithm [16] together with a robust matching strategy such as RANSAC [14].”
A Direct Least-Squares (DLS) method for PnP (2011, background): “Significant work has also focused on characterizing the number of solutions for P3P [5, 7, 25], and PnP [14, 25].”
Structure-from-Motion Revisited (2016, neutral): “[22, 34].”
A novel parametrization of the perspective-three-point problem for a direct computation of absolute camera position and orientation (2011, methodology): “The algorithm presented in Section 2 has been thoroughly tested by means of synthetic data, and compared to Gao's [12] solution to the P3P-problem.”
Extrinsic self calibration of a camera and a 3D laser range finder from natural scenes (2007, background): “Some solutions to this problem can be found in [24] and [25].”
Visual Camera Re-Localization From RGB and RGB-D Images Using DSAC (2020, methodology): “Since we are interested only in the gradients of the optimal pose parameters found at the end of optimization, we ignore the influence of initialization itself, avoiding to calculate gradients of complex minimal solvers like [66], [77].”
Accurate Non-Iterative O(n) Solution to the PnP Problem (2007, methodology): “The specialized methods include those designed to solve the P3P problem [9, 23].”