Recent advances in shape correspondence

Y Sahillioğlu - The Visual Computer, 2020 - Springer
Important new developments have appeared since the most recent direct survey on shape
correspondence published almost a decade ago. Our survey covers the period from 2011 …

Deep geometric functional maps: Robust feature learning for shape correspondence

N Donati, A Sharma… - Proceedings of the IEEE …, 2020 - openaccess.thecvf.com
We present a novel learning-based approach for computing correspondences between non-
rigid 3D shapes. Unlike previous methods that either require extensive training data or …

Dpfm: Deep partial functional maps

S Attaiki, G Pai, M Ovsjanikov - 2021 International Conference …, 2021 - ieeexplore.ieee.org
We consider the problem of computing dense correspondences between non-rigid shapes
with potentially significant partiality. Existing formulations tackle this problem through heavy …

Unsupervised deep multi-shape matching

D Cao, F Bernard - European Conference on Computer Vision, 2022 - Springer
Abstract 3D shape matching is a long-standing problem in computer vision and computer
graphics. While deep neural networks were shown to lead to state-of-the-art results in shape …

Self-supervised learning for multimodal non-rigid 3d shape matching

D Cao, F Bernard - … of the IEEE/CVF Conference on …, 2023 - openaccess.thecvf.com
The matching of 3D shapes has been extensively studied for shapes represented as surface
meshes, as well as for shapes represented as point clouds. While point clouds are a …

Unsupervised learning of robust spectral shape matching

D Cao, P Roetzer, F Bernard - arXiv preprint arXiv:2304.14419, 2023 - arxiv.org
We propose a novel learning-based approach for robust 3D shape matching. Our method
builds upon deep functional maps and can be trained in a fully unsupervised manner …

Fast sinkhorn filters: Using matrix scaling for non-rigid shape correspondence with functional maps

G Pai, J Ren, S Melzi, P Wonka… - Proceedings of the …, 2021 - openaccess.thecvf.com
In this paper, we provide a theoretical foundation for pointwise map recovery from functional
maps and highlight its relation to a range of shape correspondence methods based on …

Integrating efficient optimal transport and functional maps for unsupervised shape correspondence learning

T Le, K Nguyen, S Sun, N Ho… - Proceedings of the IEEE …, 2024 - openaccess.thecvf.com
In the realm of computer vision and graphics accurately establishing correspondences
between geometric 3D shapes is pivotal for applications like object tracking registration …

Discrete optimization for shape matching

J Ren, S Melzi, P Wonka… - Computer Graphics …, 2021 - Wiley Online Library
We propose a novel discrete solver for optimizing functional map‐based energies, including
descriptor preservation and promoting structural properties such as area‐preservation …

Coherent point drift revisited for non-rigid shape matching and registration

A Fan, J Ma, X Tian, X Mei… - Proceedings of the IEEE …, 2022 - openaccess.thecvf.com
In this paper, we explore a new type of extrinsic method to directly align two geometric
shapes with point-to-point correspondences in ambient space by recovering a deformation …