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Laplace–Beltrami Operator on Point Clouds Based on Anisotropic Voronoi Diagram
(© 2018 The Eurographics Association and John Wiley & Sons Ltd., 2018)
The symmetrizable and converged Laplace–Beltrami operator () is an indispensable tool for spectral geometrical analysis of point clouds. The , introduced by Liu et al. [LPG12] is guaranteed to be symmetrizable, but its ...
Localized Manifold Harmonics for Spectral Shape Analysis
(© 2018 The Eurographics Association and John Wiley & Sons Ltd., 2018)
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 Variational Approach to Registration with Local Exponential Coordinates
(© 2019 The Eurographics Association and John Wiley & Sons Ltd., 2019)
We identify a novel parameterization for the group of finite rotations (SO), consisting of an atlas of exponential maps defined over local tangent planes, for the purpose of computing isometric transformations in registration ...
Markerless Multiview Motion Capture with 3D Shape Model Adaptation
(© 2019 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd, 2019)
In this paper, we address simultaneous markerless motion and shape capture from 3D input meshes of partial views onto a moving subject. We exploit a computer graphics model based on kinematic skinning as template tracking ...
A Survey on Data‐Driven 3D Shape Descriptors
(© 2019 The Eurographics Association and John Wiley & Sons Ltd., 2019)
Recent advances in scanning device technologies and improvements in techniques that generate and synthesize 3D shapes have made 3D models widespread in various fields including medical research, biology, engineering, etc. ...
Using Position‐Based Dynamics for Simulating Mitral Valve Closure and Repair Procedures
(© 2022 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd, 2022)
To achieve the best treatment of mitral valve disease in a patient, surgeons aim to optimally combine complementary surgical techniques. Image‐based simulation as well as visualization of the mitral valve dynamics can ...
SiamesePointNet: A Siamese Point Network Architecture for Learning 3D Shape Descriptor
(© 2020 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd, 2020)
We present a novel deep learning approach to extract point‐wise descriptors directly on 3D shapes by introducing Siamese Point Networks, which contain a global shape constraint module and a feature transformation operator. ...
Preserving Shadow Silhouettes in Illumination‐Driven Mesh Reduction
(© 2020 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd, 2020)
A main challenge for today's renderers is the ever‐growing size of 3D scenes, exceeding the capacity of typically available main memory. This especially holds true for graphics processing units (GPUs) which could otherwise ...
Physically Based Simulation and Rendering of Urban Thermography
(© 2020 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd, 2020)
Urban thermography is a non‐invasive measurement technique commonly used for building diagnosis and energy efficiency evaluation. The physical interpretation of thermal images is a challenging task because they do not ...
Rigid Registration of Point Clouds Based on Partial Optimal Transport
(© 2022 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd., 2022)
For rigid point cloud data registration, algorithms based on soft correspondences are more robust than the traditional ICP method and its variants. However, point clouds with severe outliers and missing data may lead to ...