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 …

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 …

Deep orientation-aware functional maps: Tackling symmetry issues in shape matching

N Donati, E Corman… - Proceedings of the IEEE …, 2022 - openaccess.thecvf.com
State-of-the-art fully intrinsic network for non-rigid shape matching are unable to
disambiguate between shape inner symmetries. Meanwhile, recent advances in the …

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 …

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 …

Discrete optimization for shape matching

J Ren, S Melzi, P Wonka… - Computer Graphics …, 2021 - Wiley Online Library
We propose a novel discrete solver for optimizing functional map‐based energies, including
descriptor preservation and promoting structural properties such as area‐preservation …

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 …

Coherent point drift revisited for non-rigid shape matching and registration

A Fan, J Ma, X Tian, X Mei… - Proceedings of the IEEE …, 2022 - openaccess.thecvf.com
In this paper, we explore a new type of extrinsic method to directly align two geometric
shapes with point-to-point correspondences in ambient space by recovering a deformation …

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 …

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 …