0000000000190925

AUTHOR

Marc Pollefeys

showing 2 related works from this author

Homography based egomotion estimation with a common direction

2017

International audience; In this paper, we explore the different minimal solutions for egomotion estimation of a camera based on homography knowing the gravity vector between calibrated images. These solutions depend on the prior knowledge about the reference plane used by the homography. We then demonstrate that the number of matched points can vary from two to three and that a direct closed-form solution or a Gröbner basis based solution can be derived according to this plane. Many experimental results on synthetic and real sequences in indoor and outdoor environments show the efficiency and the robustness of our approach compared to standard methods.

0209 industrial biotechnologyComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONHomography02 engineering and technology[ INFO.INFO-CV ] Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]homography estimationGröbner basis020901 industrial engineering & automationArtificial IntelligenceRobustness (computer science)0202 electrical engineering electronic engineering information engineeringStructure from motion[INFO.INFO-RB]Computer Science [cs]/Robotics [cs.RO]Computer visionComputingMilieux_MISCELLANEOUSstructure-from-motionMathematicsegomotion estimationPhotogrammetrie und Bildanalysebusiness.industryApplied Mathematics[ INFO.INFO-RB ] Computer Science [cs]/Robotics [cs.RO][INFO.INFO-CV]Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]Standard methodsReference planeComputational Theory and Mathematics020201 artificial intelligence & image processingComputer Vision and Pattern RecognitionArtificial intelligencebusinessSoftwareIndex Terms—Computer vision
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Globally Optimal Line Clustering and Vanishing Point Estimation in Manhattan World

2012

The projections of world parallel lines in an image intersect at a single point called the vanishing point (VP). VPs are a key ingredient for various vision tasks including rotation estimation and 3D reconstruction. Urban environments generally exhibit some dominant orthogonal VPs. Given a set of lines extracted from a calibrated image, this paper aims to (1) determine the line clustering, i.e. find which line belongs to which VP, and (2) estimate the associated orthogonal VPs. None of the existing methods is fully satisfactory because of the inherent difficulties of the problem, such as the local minima and the chicken-and-egg aspect. In this paper, we present a new algorithm that solves t…

0209 industrial biotechnologyMathematical optimization[INFO.INFO-RB] Computer Science [cs]/Robotics [cs.RO][ INFO.INFO-RB ] Computer Science [cs]/Robotics [cs.RO]02 engineering and technologyReal imageParallelMaxima and minima020901 industrial engineering & automationOrthogonalityLine (geometry)0202 electrical engineering electronic engineering information engineering[INFO.INFO-RB]Computer Science [cs]/Robotics [cs.RO]020201 artificial intelligence & image processingVanishing pointCluster analysisRotation (mathematics)Mathematics
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