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               <dc:title>Accurate and linear time pose estimation from points and lines</dc:title>
               <dc:creator>Vakhitov, A.</dc:creator>
               <dc:creator>Funke, Jan</dc:creator>
               <dc:creator>Moreno-Noguer, Francesc</dc:creator>
               <dc:subject>Àrees temàtiques de la UPC::Informàtica::Robòtica</dc:subject>
               <dc:subject>calibration</dc:subject>
               <dc:subject>cameras</dc:subject>
               <dc:subject>computational complexity</dc:subject>
               <dc:subject>feature extraction</dc:subject>
               <dc:subject>pose estimation</dc:subject>
               <dc:subject>linear time pose estimation</dc:subject>
               <dc:subject>point processing</dc:subject>
               <dc:subject>line processing</dc:subject>
               <dc:subject>perspective-n-point problem</dc:subject>
               <dc:subject>PnP problem</dc:subject>
               <dc:subject>calibrated camera</dc:subject>
               <dc:subject>3D-to-2D point correspondences</dc:subject>
               <dc:subject>feature point correspondences</dc:subject>
               <dc:subject>alternative geometric entities</dc:subject>
               <dc:subject>perspective-n-line algorithms</dc:subject>
               <dc:subject>PnL algorithms</dc:subject>
               <dc:subject>algebraic line error</dc:subject>
               <dc:subject>linear constraints</dc:subject>
               <dc:subject>line endpoints</dc:subject>
               <dc:subject>point-based algorithms</dc:subject>
               <dc:subject>OPnP</dc:subject>
               <dc:subject>EPnP</dc:subject>
               <dc:subject>Classificació INSPEC::Optimisation</dc:subject>
               <dc:description>The final publication is available at link.springer.com</dc:description>
               <dc:description>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&#xd;
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&#xd;
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&#xd;
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,&#xd;
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&#xd;
only line based solutions, with a negligible computational overhead compared to the original OPnP and EPnP.</dc:description>
               <dc:description>Peer Reviewed</dc:description>
               <dc:description>Postprint (author's final draft)</dc:description>
               <dc:date>2016</dc:date>
               <dc:type>Conference report</dc:type>
               <dc:relation>http://link.springer.com/chapter/10.1007%2F978-3-319-46478-7_36</dc:relation>
               <dc:rights>Open Access</dc:rights>
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