Build 3D abstractions with wireframes

Xose M. Pardo, Xose R. Fdez-Vidal

    Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

    Abstract

    This chapter serves as an introduction to 3D representations of scenes or
    Structure From Motion (SfM) from straight line segments. Lines are frequently
    found in captures of man-made environments, and in nature are mixed with
    more organic shapes. The inclusion of straight lines in 3D representations
    provide structural information about the captured shapes and their limits,
    such as the intersection of planar structures. Line based SfM methods are not
    frequent in the literature due to the difficulty of detecting them reliably, their
    morphological changes under changes of perspective and the challenges inher-
    ent to finding correspondences of segments in images between the different
    views. Additionally, compared to points, lines add the dimensionalities carried
    by the line directions and lengths, which prevents the epipolar constraint
    to be valid along a straight line segment between two different views. This
    chapter introduces the geometrical relations which have to be exploited for SfM
    sketch or abstraction based on line segments, the optimization methods for its
    optimization, and how to compare the experimental results with Ground-Truth
    measurements.
    Original languageEnglish
    Title of host publicationBuild 3D abstractions with wireframes
    PublisherIntechOpen
    Chapter75321
    VolumePattern Recognition
    DOIs
    Publication statusPublished - 2021

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