Piecewise-Planar 3D Reconstruction with Edge and Corner Regularization

dc.contributor.authorBoulch, Alexandreen_US
dc.contributor.authorGorce, Martin de Laen_US
dc.contributor.authorMarlet, Renauden_US
dc.contributor.editorThomas Funkhouser and Shi-Min Huen_US
dc.date.accessioned2015-03-03T12:41:43Z
dc.date.available2015-03-03T12:41:43Z
dc.date.issued2014en_US
dc.description.abstractThis paper presents a method for the 3D reconstruction of a piecewise-planar surface from range images, typically laser scans with millions of points. The reconstructed surface is a watertight polygonal mesh that conforms to observations at a given scale in the visible planar parts of the scene, and that is plausible in hidden parts. We formulate surface reconstruction as a discrete optimization problem based on detected and hypothesized planes. One of our major contributions, besides a treatment of data anisotropy and novel surface hypotheses, is a regularization of the reconstructed surface w.r.t. the length of edges and the number of corners. Compared to classical area-based regularization, it better captures surface complexity and is therefore better suited for man-made environments, such as buildings. To handle the underlying higher-order potentials, that are problematic for MRF optimizers, we formulate minimization as a sparse mixed-integer linear programming problem and obtain an approximate solution using a simple relaxation. Experiments show that it is fast and reaches near-optimal solutions.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.doi10.1111/cgf.12431en_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12431en_US
dc.publisherThe Eurographics Association and John Wiley and Sons Ltd.en_US
dc.titlePiecewise-Planar 3D Reconstruction with Edge and Corner Regularizationen_US
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