A Survey of Non‐Rigid 3D Registration

B Deng, Y Yao, RM Dyke, J Zhang - Computer Graphics Forum, 2022 - Wiley Online Library
Non‐rigid registration computes an alignment between a source surface with a target
surface in a non‐rigid manner. In the past decade, with the advances in 3D sensing …

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 …

Learning representations and generative models for 3d point clouds

P Achlioptas, O Diamanti… - … on machine learning, 2018 - proceedings.mlr.press
Three-dimensional geometric data offer an excellent domain for studying representation
learning and generative modeling. In this paper, we look at geometric data represented as …

Geometric deep learning: going beyond euclidean data

MM Bronstein, J Bruna, Y LeCun… - IEEE Signal …, 2017 - ieeexplore.ieee.org
Geometric deep learning is an umbrella term for emerging techniques attempting to
generalize (structured) deep neural models to non-Euclidean domains, such as graphs and …

Variational autoencoders for deforming 3d mesh models

Q Tan, L Gao, YK Lai, S Xia - Proceedings of the IEEE …, 2018 - openaccess.thecvf.com
Abstract 3D geometric contents are becoming increasingly popular. In this paper, we study
the problem of analyzing deforming 3D meshes using deep neural networks. Deforming 3D …

Zoomout: Spectral upsampling for efficient shape correspondence

S Melzi, J Ren, E Rodola, A Sharma, P Wonka… - arXiv preprint arXiv …, 2019 - arxiv.org
We present a simple and efficient method for refining maps or correspondences by iterative
upsampling in the spectral domain that can be implemented in a few lines of code. Our main …

Continuous and orientation-preserving correspondences via functional maps

J Ren, A Poulenard, P Wonka… - ACM Transactions on …, 2018 - dl.acm.org
We propose a method for efficiently computing orientation-preserving and approximately
continuous correspondences between non-rigid shapes, using the functional maps …

Entropic metric alignment for correspondence problems

J Solomon, G Peyré, VG Kim, S Sra - ACM Transactions on Graphics …, 2016 - dl.acm.org
Many shape and image processing tools rely on computation of correspondences between
geometric domains. Efficient methods that stably extract" soft" matches in the presence of …

Unsupervised deep learning for structured shape matching

JM Roufosse, A Sharma… - Proceedings of the …, 2019 - openaccess.thecvf.com
We present a novel method for computing correspondences across 3D shapes using
unsupervised learning. Our method computes a non-linear transformation of given …

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 …