2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR) 2017
DOI: 10.1109/cvpr.2017.491
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An Efficient Algebraic Solution to the Perspective-Three-Point Problem

Abstract: In this work, we present an algebraic solution to the classical perspective-3-point (P3P) problem for determining the position and attitude of a camera from observations of three known reference points. In contrast to previous approaches, we first directly determine the camera's attitude by employing the corresponding geometric constraints to formulate a system of trigonometric equations. This is then efficiently solved, following an algebraic approach, to determine the unknown rotation matrix and subsequently… Show more

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Cited by 113 publications
(71 citation statements)
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“…Such matches are then exploited to obtain an initial estimate of camera extrinsic parameters (and possible camera intrinsics ). In cases in which the camera is calibrated, the solution is obtained by solving a minimal case ( = 3) of the Perspective-n-Point (PnP) problem (Ke and Roumeliotis, 2017), while alternatively a Direct Linear Transform (DLT) (Hartley and Zisserman, 2003) algorithm can be used. As feature observations are noisy and might contain outliers, the process is done in conjunction with a robust estimation method A Contrario Ransac (AC-RANSAC) (Moisan et al, 2012).…”
Section: Pose Estimationmentioning
confidence: 99%
“…Such matches are then exploited to obtain an initial estimate of camera extrinsic parameters (and possible camera intrinsics ). In cases in which the camera is calibrated, the solution is obtained by solving a minimal case ( = 3) of the Perspective-n-Point (PnP) problem (Ke and Roumeliotis, 2017), while alternatively a Direct Linear Transform (DLT) (Hartley and Zisserman, 2003) algorithm can be used. As feature observations are noisy and might contain outliers, the process is done in conjunction with a robust estimation method A Contrario Ransac (AC-RANSAC) (Moisan et al, 2012).…”
Section: Pose Estimationmentioning
confidence: 99%
“…RANSAC uses an inner algorithm to solve the perspective-3-point (P3P) problem that gives the camera pose based on a minimal set of three known feature points. We considered various P3P solving algorithms available in OpenCV and settled on AP3P (46) during initial testing.…”
Section: Matching and Pose Estimationmentioning
confidence: 99%
“…Obviously, fewer are the key-points and their multiplicity, higher will be the uncertainty of the calibration and orientation computed with SR. Moreover, with both methods a result can converge to a false or odd solution for which some refinement methods will be prospected in a near future, like the incremental approaches of Open-MVG (Moulon et al, 2016, Ke andRoumeliotis, 2017), up-to-date perspective-three-point solver (Larsson et al, 2017, Persson andNordberg, 2018) or using 2D/3D Mutual-Information registration (Palma et al, 2010). However despite of current limitation, the outcome is encouraging for forthcoming extensions and modules of TACO to endorse its ability to process complex multimodal CH imaging data sets.…”
Section: A Versatile Incremental Spatial Registration Of New Images Omentioning
confidence: 99%