Geometry Processing 2020 - Symposium Proceedings
Utrecht, The Netherlands, July 6 – 8, 2020


Computational Geometry and Fabrication
Medial Axis Isoperimetric Profiles
Paul Zhang, Daryl DeFord, and Justin Solomon
Fabricable Unobtrusive 3D-QR-Codes with Directional Light
Hao Peng, Peiqing Liu, Lin Lu, Andrei Sharf, Lin Liu, Dani Lischinski, and Baoquan Chen
Approximating Isosurfaces by Guaranteed-quality Triangular Meshes
Joel Hass and Maria Trnkova
Discrete Differential Geometry
Interpolated Corrected Curvature Measures for Polygonal Surfaces
Jacques-Olivier Lachaud, Pascal Romon, Boris Thibert, and David Coeurjolly
Properties of Laplace Operators for Tetrahedral Meshes
Marc Alexa, Philipp Herholz, Max Kohlbrenner, and Olga Sorkine-Hornung
A Laplacian for Nonmanifold Triangle Meshes
Nicholas Sharp and Keenan Crane
A Simple Discretization of the Vector Dirichlet Energy
Oded Stein, Max Wardetzky, Alec Jacobson, and Eitan Grinspun
Deformation
Interactive Sculpting of Digital Faces Using an Anatomical Modeling Paradigm
Aurel Gruber, Marco Fratarcangeli, Gaspard Zoss, Roman Cattaneo, Thabo Beeler, Markus Gross, and Derek Bradley
A Parametric Analysis of Discrete Hamiltonian Functional Maps
Emilian Postolache, Marco Fumero, Luca Cosmo, and Emanuele Rodolà
Nonlinear Deformation Synthesis via Sparse Principal Geodesic Analysis
Josua Sassen, Klaus Hildebrandt, and Martin Rumpf
Meshing
Hexahedral Mesh Repair via Sum-of-Squares Relaxation
Zoë Marschner, David Palmer, Paul Zhang, and Justin Solomon
Integer-Grid Sketch Simplification and Vectorization
Tibor Stanko, Mikhail Bessmeltsev, David Bommes, and Adrien Bousseau
Cost Minimizing Local Anisotropic Quad Mesh Refinement
Max Lyon, David Bommes, and Leif Kobbelt
Surface Reconstruction
Poisson Surface Reconstruction with Envelope Constraints
Misha Kazhdan, Ming Chuang, Szymon Rusinkiewicz, and Hugues Hoppe
Learning Part Boundaries from 3D Point Clouds
Marios Loizou, Melinos Averkiou, and Evangelos Kalogerakis
Topology-Aware Surface Reconstruction for Point Clouds
Rickard Brüel-Gabrielsson, Vignesh Ganapathi-Subramanian, Primoz Skraba, and Leonidas J. Guibas
Optimization
EGGS: Sparsity-Specific Code Generation
Xuan Tang, Teseo Schneider, Shoaib Kamil, Aurojit Panda, Jinyang Li, and Daniele Panozzo
Anderson Acceleration for Nonconvex ADMM Based on Douglas-Rachford Splitting
Wenqing Ouyang, Yue Peng, Yuxin Yao, Juyong Zhang, and Bailin Deng
Machine Learning and Analysis
DFR: Differentiable Function Rendering for Learning 3D Generation from Images
Yunjie Wu and Zhengxing Sun
Generating Adversarial Surfaces via Band-Limited Perturbations
Giorgio Mariani, Luca Cosmo, Alex M. Bronstein, and Emanuele Rodolà
Consistent ZoomOut: Efficient Spectral Map Synchronization
Ruqi Huang, Jing Ren, Peter Wonka, and Maks Ovsjanikov

Recent Submissions

  • Consistent ZoomOut: Efficient Spectral Map Synchronization 

    Huang, Ruqi; Ren, Jing; Wonka, Peter; Ovsjanikov, Maks (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    In this paper, we propose a novel method, which we call CONSISTENT ZOOMOUT, for efficiently refining correspondences among deformable 3D shape collections, while promoting the resulting map consistency. Our formulation is ...
  • Generating Adversarial Surfaces via Band-Limited Perturbations 

    Mariani, Giorgio; Cosmo, Luca; Bronstein, Alex M.; Rodolà, Emanuele (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    Adversarial attacks have demonstrated remarkable efficacy in altering the output of a learning model by applying a minimal perturbation to the input data. While increasing attention has been placed on the image domain, ...
  • DFR: Differentiable Function Rendering for Learning 3D Generation from Images 

    Wu, Yunjie; Sun, Zhengxing (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    Learning-based 3D generation is a popular research field in computer graphics. Recently, some works adapted implicit function defined by a neural network to represent 3D objects and have become the current state-of-the-art. ...
  • Anderson Acceleration for Nonconvex ADMM Based on Douglas-Rachford Splitting 

    Ouyang, Wenqing; Peng, Yue; Yao, Yuxin; Zhang, Juyong; Deng, Bailin (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    The alternating direction multiplier method (ADMM) is widely used in computer graphics for solving optimization problems that can be nonsmooth and nonconvex. It converges quickly to an approximate solution, but can take a ...
  • Topology-Aware Surface Reconstruction for Point Clouds 

    Brüel-Gabrielsson, Rickard; Ganapathi-Subramanian, Vignesh; Skraba, Primoz; Guibas, Leonidas J. (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    We present an approach to incorporate topological priors in the reconstruction of a surface from a point scan. We base the reconstruction on basis functions which are optimized to provide a good fit to the point scan while ...
  • EGGS: Sparsity-Specific Code Generation 

    Tang, Xuan; Schneider, Teseo; Kamil, Shoaib; Panda, Aurojit; Li, Jinyang; Panozzo, Daniele (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    Sparse matrix computations are among the most important computational patterns, commonly used in geometry processing, physical simulation, graph algorithms, and other situations where sparse data arises. In many cases, the ...
  • Poisson Surface Reconstruction with Envelope Constraints 

    Kazhdan, Misha; Chuang, Ming; Rusinkiewicz, Szymon; Hoppe, Hugues (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    Reconstructing surfaces from scanned 3D points has been an important research area for several decades. One common approach that has proven efficient and robust to noise is implicit surface reconstruction, i.e. fitting to ...
  • Learning Part Boundaries from 3D Point Clouds 

    Loizou, Marios; Averkiou, Melinos; Kalogerakis, Evangelos (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    We present a method that detects boundaries of parts in 3D shapes represented as point clouds. Our method is based on a graph convolutional network architecture that outputs a probability for a point to lie in an area that ...
  • Cost Minimizing Local Anisotropic Quad Mesh Refinement 

    Lyon, Max; Bommes, David; Kobbelt, Leif (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    Quad meshes as a surface representation have many conceptual advantages over triangle meshes. Their edges can naturally be aligned to principal curvatures of the underlying surface and they have the flexibility to create ...
  • Integer-Grid Sketch Simplification and Vectorization 

    Stanko, Tibor; Bessmeltsev, Mikhail; Bommes, David; Bousseau, Adrien (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    A major challenge in line drawing vectorization is segmenting the input bitmap into separate curves. This segmentation is especially problematic for rough sketches, where curves are depicted using multiple overdrawn strokes. ...
  • Hexahedral Mesh Repair via Sum-of-Squares Relaxation 

    Marschner, Zoë; Palmer, David; Zhang, Paul; Solomon, Justin (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    The validity of trilinear hexahedral (hex) mesh elements is a prerequisite for many applications of hex meshes, such as finite element analysis. A commonly used check for hex mesh validity evaluates mesh quality on the ...
  • Nonlinear Deformation Synthesis via Sparse Principal Geodesic Analysis 

    Sassen, Josua; Hildebrandt, Klaus; Rumpf, Martin (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    This paper introduces the construction of a low-dimensional nonlinear space capturing the variability of a non-rigid shape from a data set of example poses. The core of the approach is a Sparse Principal Geodesic Analysis ...
  • A Parametric Analysis of Discrete Hamiltonian Functional Maps 

    Postolache, Emilian; Fumero, Marco; Cosmo, Luca; Rodolà, Emanuele (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    In this paper we develop an in-depth theoretical investigation of the discrete Hamiltonian eigenbasis, which remains quite unexplored in the geometry processing community. This choice is supported by the fact that Dirichlet ...
  • Interactive Sculpting of Digital Faces Using an Anatomical Modeling Paradigm 

    Gruber, Aurel; Fratarcangeli, Marco; Zoss, Gaspard; Cattaneo, Roman; Beeler, Thabo; Gross, Markus; Bradley, Derek (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    Digitally sculpting 3D human faces is a very challenging task. It typically requires either 1) highly-skilled artists using complex software packages for high quality results, or 2) highly-constrained simple interfaces for ...
  • A Simple Discretization of the Vector Dirichlet Energy 

    Stein, Oded; Wardetzky, Max; Jacobson, Alec; Grinspun, Eitan (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    We present a simple and concise discretization of the covariant derivative vector Dirichlet energy for triangle meshes in 3D using Crouzeix-Raviart finite elements. The discretization is based on linear discontinuous ...
  • A Laplacian for Nonmanifold Triangle Meshes 

    Sharp, Nicholas; Crane, Keenan (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    We describe a discrete Laplacian suitable for any triangle mesh, including those that are nonmanifold or nonorientable (with or without boundary). Our Laplacian is a robust drop-in replacement for the usual cotan matrix, ...
  • Properties of Laplace Operators for Tetrahedral Meshes 

    Alexa, Marc; Herholz, Philipp; Kohlbrenner, Max; Sorkine-Hornung, Olga (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    Discrete Laplacians for triangle meshes are a fundamental tool in geometry processing. The so-called cotan Laplacian is widely used since it preserves several important properties of its smooth counterpart. It can be derived ...
  • Interpolated Corrected Curvature Measures for Polygonal Surfaces 

    Lachaud, Jacques-Olivier; Romon, Pascal; Thibert, Boris; Coeurjolly, David (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    A consistent and yet practically accurate definition of curvature onto polyhedral meshes remains an open problem. We propose a new framework to define curvature measures, based on the Corrected Normal Current, which ...
  • Approximating Isosurfaces by Guaranteed-quality Triangular Meshes 

    Hass, Joel; Trnkova, Maria (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    We describe a new method for approximating an implicit surface F by a piecewise-flat triangulated surface whose triangles are as close as possible to equilateral. The main advantage is improved mesh quality which is ...
  • Fabricable Unobtrusive 3D-QR-Codes with Directional Light 

    Peng, Hao; Liu, Peiqing; Lu, Lin; Sharf, Andrei; Liu, Lin; Lischinski, Dani; Chen, Baoquan (The Eurographics Association and John Wiley & Sons Ltd., 2020)
    QR code is a 2D matrix barcode widely used for product tracking, identification, document management and general marketing. Recently, there have been various attempts to utilize QR codes in 3D manufacturing by carving QR ...

View more