39-Issue 5
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Geometry Processing 2020 - Symposium Proceedings
Utrecht, The Netherlands, July 6 – 8, 2020
Computational Geometry and Fabrication
Medial Axis Isoperimetric Profiles
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Fabricable Unobtrusive 3D-QR-Codes with Directional Light
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Approximating Isosurfaces by Guaranteed-quality Triangular Meshes
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Discrete Differential Geometry
Interpolated Corrected Curvature Measures for Polygonal Surfaces
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Properties of Laplace Operators for Tetrahedral Meshes
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A Laplacian for Nonmanifold Triangle Meshes
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A Simple Discretization of the Vector Dirichlet Energy
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Deformation
Interactive Sculpting of Digital Faces Using an Anatomical Modeling Paradigm
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A Parametric Analysis of Discrete Hamiltonian Functional Maps
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Nonlinear Deformation Synthesis via Sparse Principal Geodesic Analysis
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Meshing
Hexahedral Mesh Repair via Sum-of-Squares Relaxation
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Integer-Grid Sketch Simplification and Vectorization
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Cost Minimizing Local Anisotropic Quad Mesh Refinement
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Surface Reconstruction
Poisson Surface Reconstruction with Envelope Constraints
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Learning Part Boundaries from 3D Point Clouds
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Topology-Aware Surface Reconstruction for Point Clouds
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Optimization
EGGS: Sparsity-Specific Code Generation
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Anderson Acceleration for Nonconvex ADMM Based on Douglas-Rachford Splitting
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Machine Learning and Analysis
DFR: Differentiable Function Rendering for Learning 3D Generation from Images
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Generating Adversarial Surfaces via Band-Limited Perturbations
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paper ] [meta data
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Consistent ZoomOut: Efficient Spectral Map Synchronization
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Recent Submissions
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Consistent ZoomOut: Efficient Spectral Map Synchronization
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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
(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 ...