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Piecewise-Planar 3D Reconstruction with Edge and Corner Regularization

Alexandre Boulch 1, 2, 3 Martin de la Gorce 1, 2, 3 Renaud Marlet 2, 1, 3
2 imagine [Marne-la-Vallée]
ligm - Laboratoire d'Informatique Gaspard-Monge, CSTB - Centre Scientifique et Technique du Bâtiment, ENPC - École des Ponts ParisTech
Abstract : This paper presents a method for the 3D reconstruction of a piecewise-planar surface from range images, typi-cally 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 regu-larization 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 en-vironments, 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 ap-proximate solution using a simple relaxation. Experiments show that it is fast and reaches near-optimal solutions.
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Contributor : Martin de la Gorce <>
Submitted on : Wednesday, January 14, 2015 - 11:24:49 PM
Last modification on : Monday, September 7, 2020 - 3:55:14 PM





Alexandre Boulch, Martin de la Gorce, Renaud Marlet. Piecewise-Planar 3D Reconstruction with Edge and Corner Regularization. Computer Graphics Forum, Wiley, 2014, 33 (5), pp.55-64. ⟨10.1111/cgf.12431⟩. ⟨hal-01099280⟩



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