Informative descriptor preservation via commutativity for shape matching

D Nogneng, M Ovsjanikov - Computer Graphics Forum, 2017 - Wiley Online Library
We consider the problem of non‐rigid shape matching, and specifically the functional maps
framework that was recently proposed to find correspondences between shapes. A key step …

Functional maps: a flexible representation of maps between shapes

M Ovsjanikov, M Ben-Chen, J Solomon… - ACM Transactions on …, 2012 - dl.acm.org
We present a novel representation of maps between pairs of shapes that allows for efficient
inference and manipulation. Key to our approach is a generalization of the notion of map …

Supervised descriptor learning for non-rigid shape matching

E Corman, M Ovsjanikov, A Chambolle - … , September 6-7 and 12, 2014 …, 2015 - Springer
We present a novel method for computing correspondences between pairs of non-rigid
shapes. Unlike the majority of existing techniques that assume a deformation model, such as …

Product manifold filter: Non-rigid shape correspondence via kernel density estimation in the product space

M Vestner, R Litman, E Rodola… - Proceedings of the …, 2017 - openaccess.thecvf.com
Many algorithms for the computation of correspondences between deformable shapes rely
on some variant of nearest neighbor matching in a descriptor space. Such are, for example …

Structured regularization of functional map computations

J Ren, M Panine, P Wonka… - Computer Graphics …, 2019 - Wiley Online Library
We consider the problem of non‐rigid shape matching using the functional map framework.
Specifically, we analyze a commonly used approach for regularizing functional maps, which …

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 …

Point-wise map recovery and refinement from functional correspondence

E Rodolà, M Moeller, D Cremers - arXiv preprint arXiv:1506.05603, 2015 - arxiv.org
Since their introduction in the shape analysis community, functional maps have met with
considerable success due to their ability to compactly represent dense correspondences …

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 …

Maptree: Recovering multiple solutions in the space of maps

J Ren, S Melzi, M Ovsjanikov, P Wonka - ACM Transactions on …, 2020 - hal.science
In this paper we propose an approach for computing multiple high-quality near-isometric
dense correspondences between a pair of 3D shapes. Our method is fully automatic and …

Non‐Isometric Shape Matching via Functional Maps on Landmark‐Adapted Bases

M Panine, M Kirgo, M Ovsjanikov - Computer graphics forum, 2022 - Wiley Online Library
We propose a principled approach for non‐isometric landmark‐preserving non‐rigid shape
matching. Our method is based on the functional map framework, but rather than promoting …