SGP: Eurographics Symposium on Geometry Processing
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ISSN 17278384, since 2008 Special Issue of Computer Graphics Forum
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Schrödinger Operator for Sparse Approximation of 3D Meshes
(The Eurographics Association, 2017)We introduce a Schrödinger operator for spectral approximation of meshes representing surfaces in 3D. The operator is obtained by modifying the Laplacian with a potential function which defines the rate of oscillation of ... 
PCR: A Geometric Cocktail for Triangulating Point Clouds Beautifully Without Angle Bounds
(The Eurographics Association, 2017)Reconstructing a triangulated surface from a point cloud through a mesh growing algorithm is a difficult problem, in largely because they use bounds for the admissible dihedral angle to decide on the next triangle to be ... 
Localized Manifold Harmonics for Spectral Shape Analysis
(The Eurographics Association, 2017)The use of Laplacian eigenfunctions is ubiquitous in a wide range of computer graphics and geometry processing applications. In particular, Laplacian eigenbases allow generalizing the classical Fourier analysis to manifolds. ... 
A PrimaltoPrimal Discretization of Exterior Calculus on Polygonal Meshes
(The Eurographics Association, 2017)Discrete exterior calculus (DEC) offers a coordinatefree discretization of exterior calculus especially suited for computations on curved spaces. We present an extended version of DEC on surface meshes formed by general ... 
DepthCut: Improved Depth Edge Estimation Using Multiple Unreliable Channels
(The Eurographics Association, 2017)In the context of scene understanding, a variety of methods exists to estimate different information channels from mono or stereo images, including disparity, depth, and normals. Although several advances have been reported ... 
SequentiallyDefined Compressed Modes via ADMM
(The Eurographics Association, 2017)The eigenfunctions of the discrete LaplaceBeltrami operator have played an important role in many aspects of geometry processing. Given the success of sparse representation methods in areas such as compressive sensing it ... 
Symposium on Geometry Processing 2017: Frontmatter
(Eurographics Association, 2017) 
Mesh Statistics for Robust Curvature Estimation
(The Eurographics Association and John Wiley & Sons Ltd., 2016)While it is usually not difficult to compute principal curvatures of a smooth surface of sufficient differentiability, it is a rather difficult task when only a polygonal approximation of the surface is available, because ... 
Deep Learning for Robust Normal Estimation in Unstructured Point Clouds
(The Eurographics Association and John Wiley & Sons Ltd., 2016)Normal estimation in point clouds is a crucial first step for numerous algorithms, from surface reconstruction and scene understanding to rendering. A recurrent issue when estimating normals is to make appropriate decisions ... 
Disk Density Tuning of a Maximal Random Packing
(The Eurographics Association and John Wiley & Sons Ltd., 2016)We introduce an algorithmic framework for tuning the spatial density of disks in a maximal random packing, without changing the sizing function or radii of disks. Starting from any maximal random packing such as a Maximal ... 
Exploration of Empty Space among Spherical Obstacles via Additively Weighted Voronoi Diagram
(The Eurographics Association and John Wiley & Sons Ltd., 2016)Properties of granular materials or molecular structures are often studied on a simple geometric model  a set of 3D balls. If the balls simultaneously change in size by a constant speed, topological properties of the empty ... 
Planar Minimization Diagrams via Subdivision with Applications to Anisotropic Voronoi Diagrams
(The Eurographics Association and John Wiley & Sons Ltd., 2016)Let X = {f1, . . ., fn} be a set of scalar functions of the form fi : R2 →R which satisfy some natural properties. We describe a subdivision algorithm for computing a clustered eisotopic approximation of the minimization ... 
Symmetry and Orbit Detection via LieAlgebra Voting
(The Eurographics Association and John Wiley & Sons Ltd., 2016)In this paper, we formulate an automatic approach to the detection of partial, local, and global symmetries and orbits in arbitrary 3D datasets. We improve upon existing votingbased symmetry detection techniques by ... 
Identifying Style of 3D Shapes using Deep Metric Learning
(The Eurographics Association and John Wiley & Sons Ltd., 2016)We present a method that expands on previous work in learning human perceived style similarity across objects with different structures and functionalities. Unlike previous approaches that tackle this problem with the help ... 
Learning 3D Scene Synthesis from Annotated RGBD Images
(The Eurographics Association and John Wiley & Sons Ltd., 2016)We present a datadriven method for synthesizing 3D indoor scenes by inserting objects progressively into an initial, possibly, empty scene. Instead of relying on few hundreds of handcrafted 3D scenes, we take advantage ... 
Construction of Topologically Correct and Manifold Isosurfaces
(The Eurographics Association and John Wiley & Sons Ltd., 2016)We present a simple method to describe the geometry and topologically classify the intersection of level sets of trilinear interpolants with a reference unit cell. The solutions of three quadratic equations are used to ... 
Crawl through Neighbors: A Simple Curve Reconstruction Algorithm
(The Eurographics Association and John Wiley & Sons Ltd., 2016)Given a planar point set sampled from an object boundary, the process of approximating the original shape is called curve reconstruction. In this paper, a novel nonparametric curve reconstruction algorithm based on Delaunay ... 
Curve Reconstruction with Many Fewer Samples
(The Eurographics Association and John Wiley & Sons Ltd., 2016)We consider the problem of sampling points from a collection of smooth curves in the plane, such that the CRUST family of proximitybased reconstruction algorithms can rebuild the curves. Reconstruction requires a dense ... 
DataDriven Bending Elasticity Design by Shell Thickness
(The Eurographics Association and John Wiley & Sons Ltd., 2016)We present a method to design the deformation behavior of 3D printed models by an interactive tool, where the variation of bending elasticity at different regions of a model is realized by a change in shell thickness. Given ... 
Interactive Modeling of Mechanical Objects
(The Eurographics Association and John Wiley & Sons Ltd., 2016)Objects with various types of mechanical joints are among the most commonly built. Joints implement a vocabulary of simple constrained motions (kinematic pairs) that can be used to build more complex behaviors. Defining ...