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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. ...
Vector Field Map Representation for Near Conformal Surface Correspondence
(© 2018 The Eurographics Association and John Wiley & Sons Ltd., 2018)
Based on a new spectral vector field analysis on triangle meshes, we construct a compact representation for near conformal mesh surface correspondences. Generalizing the functional map representation, our representation ...
Robust Structure‐Based Shape Correspondence
(© 2019 The Eurographics Association and John Wiley & Sons Ltd., 2019)
We present a robust method to find region‐level correspondences between shapes, which are invariant to changes in geometry and applicable across multiple shape representations. We generate simplified shape graphs by jointly ...
Complex Functional Maps: A Conformal Link Between Tangent Bundles
(© 2022 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd, 2022)
In this paper, we introduce complex functional maps, which extend the functional map framework to conformal maps between tangent vector fields on surfaces. A key property of these maps is their . More specifically, we ...
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. ...
FARM: Functional Automatic Registration Method for 3D Human Bodies
(© 2020 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd, 2020)
We introduce a new method for non‐rigid registration of 3D human shapes. Our proposed pipeline builds upon a given parametric model of the human, and makes use of the functional map representation for encoding and inferring ...
Wavelet‐based Heat Kernel Derivatives: Towards Informative Localized Shape Analysis
(© 2021 Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd, 2021)
In this paper, we propose a new construction for the Mexican hat wavelets on shapes with applications to partial shape matching. Our approach takes its main inspiration from the well‐established methodology of diffusion ...
HDRNet: High‐Dimensional Regression Network for Point Cloud Registration
(Eurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd., 2023)
Abstract‐3D point cloud registration is a crucial topic in the reverse engineering, computer vision and robotics fields. The core of this problem is to estimate a transformation matrix for aligning the source point cloud ...