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Robust Geometry Processing
EC | FP7 | SP2 | ERC
Contract (GA) number
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Open Access mandate
Special Clause 39
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Detailed project information (CORDIS)


  • Isotropic 2D Quadrangle Meshing with Size and Orientation Control.

    Pellenard, Bertrand; Alliez, Pierre; Morvan, Jean-Marie (2011)
    Projects: EC | IRON (257474)

    LOD Generation for Urban Scenes

    Verdie, Yannick; Lafarge, Florent; Alliez, Pierre (2015)
    Projects: EC | IRON (257474)
    International audience; We introduce a novel approach that reconstructs 3D urban scenes in the form of levels of detail (LODs). Starting from raw data sets such as surface meshes generated by multi-view stereo systems, our algorithm proceeds in three main steps: classification, abstraction and reconstruction. From geometric attributes and a set of semantic rules combined with a Markov random field, we classify the scene into four meaningful classes. The abstraction step detects and regularize...

    Line Drawing Interpretation in a Multi-View Context

    Favreau, Jean-Dominique; Lafarge, Florent; Bousseau, Adrien (2015)
    Projects: EC | IRON (257474)
    International audience; Many design tasks involve the creation of new objects in the context of an existing scene. Existing work in computer vision only provides partial support for such tasks. On the one hand, multi-view stereo algorithms allow the reconstruction of real-world scenes, while on the other hand algorithms for line-drawing interpretation do not take context into account. Our work combines the strength of these two domains to interpret line drawings of imaginary objects drawn ove...

    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...

    OpenVolumeMesh - A Versatile Index-Based Data Structure for 3D Polytopal Complexes

    Kremer, Michael; Bommes, David; Kobbelt, Leif (2012)
    Projects: EC | IRON (257474)
    International audience; We present a data structure which is able to represent heterogeneous 3-dimensional polytopal cell complexes and is general enough to also represent non-manifolds without incurring undue overhead. Extending the idea of half-edge based data structures for two-manifold surface meshes, all faces, i.e. the two-dimensional entities of a mesh, are represented by a pair of oriented half-faces. The concept of using directed half-entities enables inducing an orientation to the m...

    Integer-Grid Maps for Reliable Quad Meshing

    Bommes, David; Campen, Marcel; Ebke, Hans-Christian; Alliez, Pierre; Kobbelt, Leif (2013)
    Projects: EC | IRON (257474)
    International audience; Quadrilateral remeshing approaches based on global parametrization enable many desirable mesh properties. Two of the most important ones are (1) high regularity due to explicit control over irregular vertices and (2) smooth distribution of distortion achieved by convex variational formulations. Apart from these strengths, state-of-the-art techniques suffer from limited reliability on real-world input data, i.e. the determined map might have degeneracies like (local) no...

    Spread Transform and Roughness-based Shaping to Improve 3D Watermarking based on Quadratic Programming

    Xavier, Rolland-Nevière; Doërr, Gwenaël; Alliez, Pierre (2014)
    Projects: EC | IRON (257474)
    International audience; Modulating the distances between the vertices and the center of mass of a triangular mesh is a popular approach to watermark 3D objects. Prior work has formulated this approach as a quadratic programming problem which minimizes the geometric distortion while embedding the watermark payload in the histogram of distances. To enhance this framework, we introduce two watermarking components, namely the spread transform and perceptual shaping based on roughness information....

    Advanced Automatic Hexahedral Mesh Generation from Surface Quad Meshes

    Kremer, Michael; Bommes, David; Lim, Isaak; Kobbelt, Leif (2013)
    Projects: EC | IRON (257474)
    International audience; A purely topological approach for the generation of hexahedral meshes from quadrilateral surface meshes of genus zero has been proposed by M. Müller-Hannemann: in a first stage, the input surface mesh is reduced to a single hexahedron by successively eliminating loops from the dual graph of the quad mesh; in the second stage, the hexahedral mesh is constructed by extruding a layer of hexahedra for each dual loop from the first stage in reverse elimination order. In th...

    Triangle Surface Mesh Watermarking based on a Constrained Optimization Framework

    Xavier, Rolland-Nevière; Doërr, Gwenaël; Alliez, Pierre (2014)
    Projects: EC | IRON (257474)
    International audience; A watermarking strategy for triangle surface meshes consists in modifying the vertex positions along the radial directions, in order to adjust the distribution of radial distances and thereby encode the desired payload. To guarantee that watermark embedding does not alter the center of mass, prior work formulated this task as a quadratic programming problem. In this article, we contribute to the generalization of this formulation with: (i) integral reference primitives...

    Similarity Based Filtering of Point Clouds

    Digne, Julie (2012)
    Projects: EC | IRON (257474)
    International audience; Denoising surfaces is a a crucial step in the surface processing pipeline. This is even more challenging when no underlying structure of the surface is known, id est when the surface is represented as a set of unorganized points. In this paper, a denoising method based on local similarities is introduced. The contributions are threefold: first, we do not denoise directly the point positions but use a low/high frequency decomposition and denoise only the high frequency....
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