Spatially and spectrally consistent deep functional maps

M Sun, S Mao, P Jiang… - Proceedings of the …, 2023 - openaccess.thecvf.com
Cycle consistency has long been exploited as a powerful prior for jointly optimizing maps
within a collection of shapes. In this paper, we investigate its utility in the approaches of …

Learning multi-resolution functional maps with spectral attention for robust shape matching

L Li, N Donati, M Ovsjanikov - Advances in Neural …, 2022 - proceedings.neurips.cc
In this work, we present a novel non-rigid shape matching framework based on multi-
resolution functional maps with spectral attention. Existing functional map learning methods …

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 …

Understanding and improving features learned in deep functional maps

S Attaiki, M Ovsjanikov - … of the IEEE/CVF Conference on …, 2023 - openaccess.thecvf.com
Deep functional maps have recently emerged as a successful paradigm for non-rigid 3D
shape correspondence tasks. An essential step in this pipeline consists in learning feature …

Smooth non-rigid shape matching via effective dirichlet energy optimization

R Magnet, J Ren, O Sorkine-Hornung… - … Conference on 3D …, 2022 - ieeexplore.ieee.org
We introduce pointwise map smoothness via the Dirich-let energy into the functional map
pipeline, and propose an algorithm for optimizing it efficiently, which leads to highquality …

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 …

Complex functional maps: A conformal link between tangent bundles

N Donati, E Corman, S Melzi… - Computer Graphics …, 2022 - Wiley Online Library
In this paper, we introduce complex functional maps, which extend the functional map
framework to conformal maps between tangent vector fields on surfaces. A key property of …

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 …

Joint Stroke Tracing and Correspondence for 2D Animation

H Mo, C Gao, R Wang - ACM Transactions on Graphics, 2024 - dl.acm.org
To alleviate human labor in redrawing keyframes with ordered vector strokes for automatic
inbetweening, we for the first time propose a joint stroke tracing and correspondence …