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Robust Geometry Processing
EC | FP7 | SP2 | ERC
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  • Noise-Adaptive Shape Reconstruction from Raw Point Sets

    Giraudot, Simon; Cohen-Steiner, David; Alliez, Pierre (2013)
    Projects: EC | IRON (257474)
    International audience; We propose a noise-adaptive shape reconstruction method specialized to smooth, closed shapes. Our algorithm takes as input a defect-laden point set with variable noise and outliers, and comprises three main steps. First, we compute a novel noise-adaptive distance function to the inferred shape, which relies on the assumption that the inferred shape is a smooth submanifold of known dimension. Second, we estimate the sign and confidence of the function at a set of seed p...

    Planar Shape Detection and Regularization in Tandem

    Oesau , Sven; Lafarge , Florent; Alliez , Pierre (2015)
    Projects: EC | IRON (257474)
    International audience; We present a method for planar shape detection and regularization from raw point sets. The geometric modeling and processing of man-made environments from measurement data often relies upon robust detection of planar primitive shapes. In addition, the detection and reinforcement of regularities between planar parts is a means to increase resilience to missing or defect-laden data as well as to reduce the complexity of models and algorithms down the modeling pipeline. T...

    CGALmesh: a Generic Framework for Delaunay Mesh Generation

    Jamin , Clément; Alliez , Pierre; Yvinec , Mariette; Boissonnat , Jean-Daniel (2014)
    Projects: EC | IRON (257474)
    CGALmesh is the mesh generation software package of the Computational Geometry Algorithm Library (CGAL). It generates isotropic simplicial meshes -- surface triangular meshes or volume tetrahedral meshes -- from input surfaces, 3D domains as well as 3D multi-domains, with or without sharp features. The underlying meshing algorithm relies on restricted Delaunay triangulations to approximate domains and surfaces, and on Delaunay refinement to ensure both approximation accuracy and mesh quality....

    Detecting parametric objects in large scenes by Monte Carlo sampling

    Verdie, Yannick; Lafarge, Florent (2014)
    Projects: EC | IRON (257474)
    International audience; Point processes constitute a natural extension of Markov Random Fields (MRF), designed to handle parametric objects. They have shown efficiency and competitiveness for tackling object extraction problems in vision. Simulating these stochastic models is however a difficult task. The performances of the existing samplers are limited in terms of computation time and convergence stability, especially on large scenes. We propose a new sampling procedure based on a Monte Car...

    BendFields: Regularized Curvature Fields from Rough Concept Sketches

    Iarussi , Emmanuel; Bommes , David; Bousseau , Adrien (2015)
    Projects: EC | IRON (257474)
    International audience; Designers frequently draw curvature lines to convey bending of smooth surfaces in concept sketches. We present a method to extrapolate curvature lines in a rough concept sketch, recovering the intended 3D curvature field and surface normal at each pixel of the sketch. This 3D information allows us to enrich the sketch with 3D-looking shading and texturing. We first introduce the concept of regularized curvature lines that model the lines designers draw over curved surf...

    Anisotropic Rectangular Metric for Polygonal Surface Remeshing

    Pellenard , Bertrand; Alliez , Pierre; Jean-Marie , Morvan (2012)
    Projects: EC | IRON (257474)
    International audience; We propose a new method for anisotropic polygonal surface remeshing. Our algorithm takes as input a surface triangle mesh. An anisotropic rectangular metric, de ned at each triangle facet of the input mesh, is derived from both a user-speci ed normal-based tolerance error and the requirement to favor rectangle-shaped polygons. Our algorithm uses a greedy optimization procedure that adds, deletes and relocates generators so as to match two criteria related to partitioni...

    Robust Shape Reconstruction and Optimal Transportation

    Alliez , Pierre; Giraudot , Simon; Cohen-Steiner , David (2014)
    Projects: EC | IRON (257474)
    International audience; We describe a framework for robust shape reconstruction from raw point sets, based on optimal transportation between measures, where the input point sets are seen as distribution of masses. In addition to robustness to defect-laden point sets, hampered with noise and outliers, our approach can reconstruct smooth closed shapes as well as piecewise smooth shapes with boundaries.

    Robust Quad Mesh Extraction

    Hans-Christian Ebke, David Bommes, Marcel Campen; Leif Kobbelt; Hans-Christian Ebke; David Bommes; Marcel Campen; Leif Kobbelt (2013)
    Projects: EC | IRON (257474)

    Zometool Shape Approximation

    Zimmer , Henrik; Lafarge , Florent; Alliez , Pierre; Kobbelt , Leif (2014)
    Projects: EC | IRON (257474)
    International audience; We present an algorithm that approximates 2-manifold surfaces with Zometool models while preserving their topology. Zometool is a~popular hands-on mathematical modeling system used in teaching, research and for recreational model assemblies at home. This construction system relies on a single node type with a small, fixed set of directions and only 9 different edge types in its basic form. While being naturally well suited for modeling symmetries, various polytopes or ...
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