41-Issue 5
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Geometry Processing 2022 - Symposium Proceedings
Remote via Internet | July 04 – 06, 2022
Modeling and Mapping
Harmonic Shape Interpolation on Multiply-connected Planar Domains
] [
]
Localized Shape Modelling with Global Coherence: An Inverse Spectral Approach
Curves and Features
Smooth Interpolating Curves with Local Control and Monotone Alternating Curvature
Learning and Creating
PriFit: Learning to Fit Primitives Improves Few Shot Point Cloud Segmentation
SDF-StyleGAN: Implicit SDF-Based StyleGAN for 3D Shape Generation
MendNet: Restoration of Fractured Shapes Using Learned Occupancy Functions
Meshes and Partitions
Precise High-order Meshing of 2D Domains with Rational Bézier Curves
Rational Bézier Guarding
Tools and Data
Deterministic Linear Time for Maximal Poisson-Disk Sampling using Chocks without Rejection
or Approximation
TinyAD: Automatic Differentiation in Geometry Processing Made Simple
Hex Me If You Can
Tiling and Nesting
Constructing L∞ Voronoi Diagrams in 2D and 3D
Fabricable Multi-Scale Wang Tiles
Topological Simplification of Nested Shapes
Recent Submissions
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Topological Simplification of Nested Shapes
(The Eurographics Association and John Wiley & Sons Ltd., 2022)We present a method for removing unwanted topological features (e.g., islands, handles, cavities) from a sequence of shapes where each shape is nested in the next. Such sequences can be found in nature, such as a multi-layered ... -
Fabricable Multi-Scale Wang Tiles
(The Eurographics Association and John Wiley & Sons Ltd., 2022)Wang tiles, also known as Wang dominoes, are a jigsaw puzzle system with matching edges. Due to their compactness and expressiveness in representing variations, they have become a popular tool in the procedural synthesis ... -
Hex Me If You Can
(The Eurographics Association and John Wiley & Sons Ltd., 2022)HexMe consists of 189 tetrahedral meshes with tagged features and a workflow to generate them. The primary purpose of HexMe meshes is to enable consistent and practically meaningful evaluation of hexahedral meshing algorithms ... -
Constructing L∞ Voronoi Diagrams in 2D and 3D
(The Eurographics Association and John Wiley & Sons Ltd., 2022)Voronoi diagrams and their computation are well known in the Euclidean L2 space. They are easy to sample and render in generalized Lp spaces but nontrivial to construct geometrically. Especially the limit of this norm with ... -
Rational Bézier Guarding
(The Eurographics Association and John Wiley & Sons Ltd., 2022)We present a reliable method to generate planar meshes of nonlinear rational triangular elements. The elements are guaranteed to be valid, i.e. defined by injective rational functions. The mesh is guaranteed to conform ... -
Precise High-order Meshing of 2D Domains with Rational Bézier Curves
(The Eurographics Association and John Wiley & Sons Ltd., 2022)We propose a novel method to generate a high-order triangular mesh for an input 2D domain with two key characteristics: (1) the mesh precisely conforms to a set of input piecewise rational domain curves, and (2) the geometric ... -
Deterministic Linear Time for Maximal Poisson-Disk Sampling using Chocks without Rejection or Approximation
(The Eurographics Association and John Wiley & Sons Ltd., 2022)We show how to sample uniformly within the three-sided region bounded by a circle, a radial ray, and a tangent, called a ''chock.'' By dividing a 2D planar rectangle into a background grid, and subtracting Poisson disks ... -
TinyAD: Automatic Differentiation in Geometry Processing Made Simple
(The Eurographics Association and John Wiley & Sons Ltd., 2022)Non-linear optimization is essential to many areas of geometry processing research. However, when experimenting with different problem formulations or when prototyping new algorithms, a major practical obstacle is the need ... -
MendNet: Restoration of Fractured Shapes Using Learned Occupancy Functions
(The Eurographics Association and John Wiley & Sons Ltd., 2022)We provide a novel approach to perform fully automated generation of restorations for fractured shapes using learned implicit shape representations in the form of occupancy functions. Our approach lays the groundwork to ... -
SDF-StyleGAN: Implicit SDF-Based StyleGAN for 3D Shape Generation
(The Eurographics Association and John Wiley & Sons Ltd., 2022)We present a StyleGAN2-based deep learning approach for 3D shape generation, called SDF-StyleGAN, with the aim of reducing visual and geometric dissimilarity between generated shapes and a shape collection. We extend ... -
PriFit: Learning to Fit Primitives Improves Few Shot Point Cloud Segmentation
(The Eurographics Association and John Wiley & Sons Ltd., 2022)We present PRIFIT, a semi-supervised approach for label-efficient learning of 3D point cloud segmentation networks. PRIFIT combines geometric primitive fitting with point-based representation learning. Its key idea is to ... -
Smooth Interpolating Curves with Local Control and Monotone Alternating Curvature
(The Eurographics Association and John Wiley & Sons Ltd., 2022)We propose a method for the construction of a planar curve based on piecewise clothoids and straight lines that intuitively interpolates a given sequence of control points. Our method has several desirable properties that ... -
Localized Shape Modelling with Global Coherence: An Inverse Spectral Approach
(The Eurographics Association and John Wiley & Sons Ltd., 2022)Many natural shapes have most of their characterizing features concentrated over a few regions in space. For example, humans and animals have distinctive head shapes, while inorganic objects like chairs and airplanes are ... -
Harmonic Shape Interpolation on Multiply-connected Planar Domains
(The Eurographics Association and John Wiley & Sons Ltd., 2022)Shape interpolation is a fundamental problem in computer graphics. Recently, there have been some interpolation methods developed which guarantee that the results are of bounded amount of geometric distortion, hence ensure ... -
SGP 2022 CGF 41-5: Frontmatter
(The Eurographics Association and John Wiley & Sons Ltd., 2022)
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