Optimal essential matrix estimation via inlier-set maximization

Jiaolong Yang, Hongdong Li, Yunde Jia

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    34 Citations (Scopus)

    Abstract

    In this paper, we extend the globally optimal "rotation space search" method [11] to essential matrix estimation in the presence of feature mismatches or outliers. The problem is formulated as inlier-set cardinality maximization, and solved via branch-and-bound global optimization which searches the entire essential manifold formed by all essential matrices. Our main contributions include an explicit, geometrically meaningful essential manifold parametrization using a 5D direct product space of a solid 2D disk and a solid 3D ball, as well as efficient closed-form bounding functions. Experiments on both synthetic data and real images have confirmed the efficacy of our method. The method is mostly suitable for applications where robustness and accuracy are paramount. It can also be used as a benchmark for method evaluation.

    Original languageEnglish
    Title of host publicationComputer Vision, ECCV 2014 - 13th European Conference, Proceedings
    PublisherSpringer Verlag
    Pages111-126
    Number of pages16
    EditionPART 1
    ISBN (Print)9783319105895
    DOIs
    Publication statusPublished - 2014
    Event13th European Conference on Computer Vision, ECCV 2014 - Zurich, Switzerland
    Duration: 6 Sept 201412 Sept 2014

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    NumberPART 1
    Volume8689 LNCS
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

    Conference

    Conference13th European Conference on Computer Vision, ECCV 2014
    Country/TerritorySwitzerland
    CityZurich
    Period6/09/1412/09/14

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