• Fabrication-Aware Reverse Engineering for Carpentry 

  Noeckel, James; Zhao, Haisen; Curless, Brian; Schulz, Adriana (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  We propose a novel method to generate fabrication blueprints from images of carpentered items. While 3D reconstruction from images is a well-studied problem, typical approaches produce representations that are ill-suited ...

• Developable Approximation via Gauss Image Thinning 

  Binninger, Alexandre; Verhoeven, Floor; Herholz, Philipp; Sorkine-Hornung, Olga (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  Approximating 3D shapes with piecewise developable surfaces is an active research topic, driven by the benefits of developable geometry in fabrication. Piecewise developable surfaces are characterized by having a Gauss ...

• On Landmark Distances in Polygons 

  Gotsman, Craig; Hormann, Kai (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  We study the landmark distance function between two points in a simply connected planar polygon. We show that if the polygon vertices are used as landmarks, then the resulting landmark distance function to any given point ...

• Practical Computation of the Cut Locus on Discrete Surfaces 

  Mancinelli, Claudio; Livesu, Marco; Puppo, Enrico (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  We present a novel method to compute the cut locus of a distance function encoded on a polygonal mesh. Our method exploits theoretical findings about the cut locus and - with a combination of analytic, geometric and ...

• Geodesic Distance Computation via Virtual Source Propagation 

  Trettner, Philip; Bommes, David; Kobbelt, Leif (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  We present a highly practical, efficient, and versatile approach for computing approximate geodesic distances. The method is designed to operate on triangle meshes and a set of point sources on the surface. We also show ...

• Frame Field Operators 

  Palmer, David; Stein, Oded; Solomon, Justin (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  Differential operators are widely used in geometry processing for problem domains like spectral shape analysis, data interpolation, parametrization and mapping, and meshing. In addition to the ubiquitous cotangent Laplacian, ...

• The Diamond Laplace for Polygonal and Polyhedral Meshes 

  Bunge, Astrid; Botsch, Mario; Alexa, Marc (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  We introduce a construction for discrete gradient operators that can be directly applied to arbitrary polygonal surface as well as polyhedral volume meshes. The main idea is to associate the gradient of functions defined ...

• Stable and Efficient Differential Estimators on Oriented Point Clouds 

  Lejemble, Thibault; Coeurjolly, David; Barthe, Loïc; Mellado, Nicolas (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  Point clouds are now ubiquitous in computer graphics and computer vision. Differential properties of the point-sampled surface, such as principal curvatures, are important to estimate in order to locally characterize the ...

• Surface Map Homology Inference 

  Born, Janis; Schmidt, Patrick; Campen, Marcel; Kobbelt, Leif (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  A homeomorphism between two surfaces not only defines a (continuous and bijective) geometric correspondence of points but also (by implication) an identification of topological features, i.e. handles and tunnels, and how ...

• Learning Direction Fields for Quad Mesh Generation 

  Dielen, Alexander; Lim, Isaak; Lyon, Max; Kobbelt, Leif (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  State of the art quadrangulation methods are able to reliably and robustly convert triangle meshes into quad meshes. Most of these methods rely on a dense direction field that is used to align a parametrization from which ...

• Simpler Quad Layouts using Relaxed Singularities 

  Lyon, Max; Campen, Marcel; Kobbelt, Leif (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  A common approach to automatic quad layout generation on surfaces is to, in a first stage, decide on the positioning of irregular layout vertices, followed by finding sensible layout edges connecting these vertices and ...

• Scalable Surface Reconstruction with Delaunay-Graph Neural Networks 

  Sulzer, Raphael; Landrieu, Loic; Marlet, Renaud; Vallet, Bruno (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  We introduce a novel learning-based, visibility-aware, surface reconstruction method for large-scale, defect-laden point clouds. Our approach can cope with the scale and variety of point cloud defects encountered in real-life ...

• Progressive Discrete Domains for Implicit Surface Reconstruction 

  Zhao, Tong; Alliez, Pierre; Boubekeur, Tamy; Busé, Laurent; Thiery, Jean-Marc (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  Many global implicit surface reconstruction algorithms formulate the problem as a volumetric energy minimization, trading data fitting for geometric regularization. As a result, the output surfaces may be located arbitrarily ...

• Delaunay Meshing and Repairing of NURBS Models 

  Xiao, Xiao; Alliez, Pierre; Busé, Laurent; Rineau, Laurent (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  CAD models represented by NURBS surface patches are often hampered with defects due to inaccurate representations of trimming curves. Such defects make these models unsuitable to the direct generation of valid volume meshes, ...

• Globally Injective Geometry Optimization with Non-Injective Steps 

  Overby, Matthew; Kaufman, Danny; Narain, Rahul (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  We present a method to minimize distortion and compute globally injective mappings from non-injective initialization. Many approaches for distortion minimization subject to injectivity constraints require an injective ...

• A Data-Driven Approach to Functional Map Construction and Bases Pursuit 

  Azencot, Omri; Lai, Rongjie (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  We propose a method to simultaneously compute scalar basis functions with an associated functional map for a given pair of triangle meshes. Unlike previous techniques that put emphasis on smoothness with respect to the ...

• Discrete Optimization for Shape Matching 

  Ren, Jing; Melzi, Simone; Wonka, Peter; Ovsjanikov, Maks (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  We propose a novel discrete solver for optimizing functional map-based energies, including descriptor preservation and promoting structural properties such as area-preservation, bijectivity and Laplacian commutativity among ...

• Blending of Hyperbolic Closed Curves 

  Ikemakhen, Aziz; Ahanchaou, Taoufik (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  In recent years, game developers are interested in developing games in the hyperbolic space. Shape blending is one of the fundamental techniques to produce animation and videos games. This paper presents two algorithms for ...

• Roominoes: Generating Novel 3D Floor Plans From Existing 3D Rooms 

  Wang, Kai; Xu, Xianghao; Lei, Leon; Ling, Selena; Lindsay, Natalie; Chang, Angel Xuan; Savva, Manolis; Ritchie, Daniel (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  Realistic 3D indoor scene datasets have enabled significant recent progress in computer vision, scene understanding, autonomous navigation, and 3D reconstruction. But the scale, diversity, and customizability of existing ...

• Normal-Driven Spherical Shape Analogies 

  Liu, Hsueh-Ti Derek; Jacobson, Alec (The Eurographics Association and John Wiley & Sons Ltd., 2021)

  This paper introduces a new method to stylize 3D geometry. The key observation is that the surface normal is an effective instrument to capture different geometric styles. Centered around this observation, we cast stylization ...

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