2026-04-17T18:33:59Zhttps://recercat.cat/oai/request

oai:recercat.cat:2117/1041862026-01-15T05:25:52Zcom_2072_1033col_2072_452950

00925njm 22002777a 4500 dc Vakhitov, A. author Funke, Jan author Moreno-Noguer, Francesc author 2016 The final publication is available at link.springer.com The Perspective-n-Point (PnP) problem seeks to estimate the pose of a calibrated camera from n 3Dto-2D point correspondences. There are situations, though, where PnP solutions are prone to fail because feature point correspondences cannot be reliably estimated (e.g. scenes with repetitive patterns or with low texture). In such scenarios, one can still exploit alternative geometric entities, such as lines, yielding the so-called Perspective-n-Line (PnL) algorithms. Unfortunately, existing PnL solutions are not as accurate and efficient as their point-based counterparts. In this paper we propose a novel approach to introduce 3D-to-2D line correspondences into a PnP formulation, allowing to simultaneously process points and lines. For this purpose we introduce an algebraic line error that can be formulated as linear constraints on the line endpoints, even when these are not directly observable. These constraints can then be naturally integrated within the linear formulations of two state-of-the-art point-based algorithms, the OPnP and the EPnP, allowing them to indistinctly handle points, lines, or a combination of them. Exhaustive experiments show that the proposed formulation brings remarkable boost in performance compared to only point or only line based solutions, with a negligible computational overhead compared to the original OPnP and EPnP. Peer Reviewed Postprint (author's final draft) Àrees temàtiques de la UPC::Informàtica::Robòtica calibration cameras computational complexity feature extraction pose estimation linear time pose estimation point processing line processing perspective-n-point problem PnP problem calibrated camera 3D-to-2D point correspondences feature point correspondences alternative geometric entities perspective-n-line algorithms PnL algorithms algebraic line error linear constraints line endpoints point-based algorithms OPnP EPnP Classificació INSPEC::Optimisation Accurate and linear time pose estimation from points and lines