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Möbius Registration
(The Eurographics Association and John Wiley & Sons Ltd., 2018)
Conformal parameterizations over the sphere provide high-quality maps between genus zero surfaces, and are essential for applications such as data transfer and comparative shape analysis. However, such maps are not unique: ...
A Unified Discrete Framework for Intrinsic and Extrinsic Dirac Operators for Geometry Processing
(The Eurographics Association and John Wiley & Sons Ltd., 2018)
Spectral mesh analysis and processing methods, namely ones that utilize eigenvalues and eigenfunctions of linear operators on meshes, have been applied to numerous geometric processing applications. The operator used ...
On Variational and PDE‐Based Distance Function Approximations
(Copyright © 2015 The Eurographics Association and John Wiley & Sons Ltd., 2015)
In this paper, we deal with the problem of computing the distance to a surface (a curve in two dimensional) and consider several distance function approximation methods which are based on solving partial differential ...
Spatial Matching of Animated Meshes
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
This paper presents a new technique which makes use of deformation and motion properties between animated meshes for finding their spatial correspondences. Given a pair of animated meshes exhibiting a semantically similar ...
Symmetry in 3D Geometry: Extraction and Applications
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
The concept of symmetry has received significant attention in computer graphics and computer vision research in recent years. Numerous methods have been proposed to find, extract, encode and exploit geometric symmetries ...
Quad‐Mesh Generation and Processing: A Survey
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Triangle meshes have been nearly ubiquitous in computer graphics, and a large body of data structures and geometry processing algorithms based on them has been developed in the literature. At the same time, quadrilateral ...
Mesh Denoising using Extended ROF Model with L1 Fidelity
(The Eurographics Association and John Wiley & Sons Ltd., 2015)
This paper presents a variational algorithm for feature-preserved mesh denoising. At the heart of the algorithm is a novel variational model composed of three components: fidelity, regularization and fairness, which are ...
Guided Mesh Normal Filtering
(The Eurographics Association and John Wiley & Sons Ltd., 2015)
The joint bilateral filter is a variant of the standard bilateral filter, where the range kernel is evaluated using a guidance signal instead of the original signal. It has been successfully applied to various image ...
As-Rigid-As-Possible Distance Field Metamorphosis
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Widely used for morphing between objects with arbitrary topology, distance field interpolation (DFI) handles topological transition naturally without the need for correspondence or remeshing, unlike surface-based interpolation ...
An Algorithm for Random Fractal Filling of Space
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Computational experiments with a simple algorithm show that it is possible to fill any spatial region with a random fractalization of any shape, with a continuous range of pre‐specified fractal dimensions D. The algorithm ...