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 …

Zero-shot 3d shape correspondence

A Abdelreheem, A Eldesokey, M Ovsjanikov… - SIGGRAPH Asia 2023 …, 2023 - dl.acm.org
We propose a novel zero-shot approach to computing correspondences between 3D
shapes. Existing approaches mainly focus on isometric and near-isometric shape pairs (eg …

Finsler-Laplace-Beltrami Operators with Application to Shape Analysis

S Weber, T Dagès, M Gao… - Proceedings of the IEEE …, 2024 - openaccess.thecvf.com
Abstract The Laplace-Beltrami operator (LBO) emerges from studying manifolds equipped
with a Riemannian metric. It is often called the swiss army knife of geometry processing as it …

DiscoMatch: Fast Discrete Optimisation for Geometrically Consistent 3D Shape Matching

P Roetzer, A Abbas, D Cao, F Bernard… - European Conference on …, 2024 - Springer
In this work we propose to combine the advantages of learning-based and combinatorial
formalisms for 3D shape matching. While learning-based methods lead to state-of-the-art …

Shape non-rigid kinematics (snk): A zero-shot method for non-rigid shape matching via unsupervised functional map regularized reconstruction

S Attaiki, M Ovsjanikov - Advances in Neural Information …, 2023 - proceedings.neurips.cc
Abstract We present Shape Non-rigid Kinematics (SNK), a novel zero-shot method for non-
rigid shape matching that eliminates the need for extensive training or ground truth data …

Bijective upsampling and learned embedding for point clouds correspondences

G Viganò, S Melzi - Computers & Graphics, 2024 - Elsevier
In this paper, we present a novel pipeline to compute and refine a data-driven solution for
estimating the correspondence between 3D point clouds. Our method is compatible with the …

SpiderMatch: 3D Shape Matching with Global Optimality and Geometric Consistency

P Roetzer, F Bernard - … of the IEEE/CVF Conference on …, 2024 - openaccess.thecvf.com
Finding shortest paths on product spaces is a popular approach to tackle numerous variants
of matching problems including the dynamic time warping method for matching signals the …

Partial matching of nonrigid shapes by learning piecewise smooth functions

D Bensaïd, N Rotstein, N Goldenstein… - Computer Graphics …, 2023 - Wiley Online Library
Learning functions defined on non‐flat domains, such as outer surfaces of non‐rigid shapes,
is a central task in computer vision and geometry processing. Recent studies have explored …

Memory-Scalable and Simplified Functional Map Learning

R Magnet, M Ovsjanikov - … of the IEEE/CVF Conference on …, 2024 - openaccess.thecvf.com
Deep functional maps have emerged in recent years as a prominent learning-based
framework for non-rigid shape matching problems. While early methods in this domain only …

Spectral Meets Spatial: Harmonising 3D Shape Matching and Interpolation

D Cao, M Eisenberger, N El Amrani… - Proceedings of the …, 2024 - openaccess.thecvf.com
Although 3D shape matching and interpolation are highly interrelated they are often studied
separately and applied sequentially to relate different 3D shapes thus resulting in sub …