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 …

Correspondence learning via linearly-invariant embedding

R Marin, MJ Rakotosaona, S Melzi… - Advances in Neural …, 2020 - proceedings.neurips.cc
In this paper, we propose a fully differentiable pipeline for estimating accurate dense
correspondences between 3D point clouds. The proposed pipeline is an extension and a …

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 …

Deblurring and denoising of maps between shapes

D Ezuz, M Ben-Chen - Computer Graphics Forum, 2017 - Wiley Online Library
Shape correspondence is an important and challenging problem in geometry processing.
Generalized map representations, such as functional maps, have been recently suggested …

Adjoint map representation for shape analysis and matching

R Huang, M Ovsjanikov - Computer Graphics Forum, 2017 - Wiley Online Library
In this paper, we propose to consider the adjoint operators of functional maps, and
demonstrate their utility in several tasks in geometry processing. Unlike a functional map …

A genetic isometric shape correspondence algorithm with adaptive sampling

Y Sahillioğlu - ACM Transactions on Graphics (ToG), 2018 - dl.acm.org
We exploit the permutation creation ability of genetic optimization to find the permutation of
one point set that puts it into correspondence with another one. To this end, we provide a …

Interactive curve constrained functional maps

A Gehre, M Bronstein, L Kobbelt… - Computer Graphics …, 2018 - Wiley Online Library
Functional maps have gained popularity as a versatile framework for representing intrinsic
correspondence between 3D shapes using algebraic machinery. A key ingredient for this …

Scale space clustering evolution for salient region detection on 3d deformable shapes

X Wang, F Sohel, M Bennamoun, Y Guo, H Lei - Pattern Recognition, 2017 - Elsevier
Salient region detection without prior knowledge is a challenging task, especially for 3D
deformable shapes. This paper presents a novel framework that relies on clustering of a …

Relation Constrained Capsule Graph Neural Networks for Non-Rigid Shape Correspondence

Y Lian, S Pei, M Chen, J Hua - ACM Transactions on Intelligent Systems …, 2024 - dl.acm.org
Non-rigid 3D shape correspondence aims to establish dense correspondences between two
non-rigidly deformed 3D shapes. However, the variability and symmetry of non-rigid shapes …

Robust structure‐based shape correspondence

Y Kleiman, M Ovsjanikov - Computer Graphics Forum, 2019 - Wiley Online Library
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 …