Spectral methods for data science: A statistical perspective
Spectral methods have emerged as a simple yet surprisingly effective approach for
extracting information from massive, noisy and incomplete data. In a nutshell, spectral …
extracting information from massive, noisy and incomplete data. In a nutshell, spectral …
Multibodysync: Multi-body segmentation and motion estimation via 3d scan synchronization
We present MultiBodySync, a novel, end-to-end trainable multi-body motion segmentation
and rigid registration framework for multiple input 3D point clouds. The two non-trivial …
and rigid registration framework for multiple input 3D point clouds. The two non-trivial …
Quantum permutation synchronization
We present QuantumSync, the first quantum algorithm for solving a synchronization problem
in the context of computer vision. In particular, we focus on permutation synchronization …
in the context of computer vision. In particular, we focus on permutation synchronization …
Consistent ZoomOut: Efficient Spectral Map Synchronization
In this paper, we propose a novel method, which we call Consistent ZoomOut, for efficiently
refining correspondences among deformable 3D shape collections, while promoting the …
refining correspondences among deformable 3D shape collections, while promoting the …
Isometric multi-shape matching
Finding correspondences between shapes is a fundamental problem in computer vision and
graphics, which is relevant for many applications, including 3D reconstruction, object …
graphics, which is relevant for many applications, including 3D reconstruction, object …
Synchronizing probability measures on rotations via optimal transport
We introduce a new paradigm,measure synchronization', for synchronizing graphs with
measure-valued edges. We formulate this problem as maximization of the cycle-consistency …
measure-valued edges. We formulate this problem as maximization of the cycle-consistency …
Gencorres: Consistent shape matching via coupled implicit-explicit shape generative models
This paper introduces GenCorres, a novel unsupervised joint shape matching (JSM)
approach. Our key idea is to learn a mesh generator to fit an unorganized deformable shape …
approach. Our key idea is to learn a mesh generator to fit an unorganized deformable shape …
Sparse quadratic optimisation over the stiefel manifold with application to permutation synchronisation
We address the non-convex optimisation problem of finding a sparse matrix on the Stiefel
manifold (matrices with mutually orthogonal columns of unit length) that maximises (or …
manifold (matrices with mutually orthogonal columns of unit length) that maximises (or …
Non-negative spherical relaxations for universe-free multi-matching and clustering
J Thunberg, F Bernard - Scandinavian Conference on Image Analysis, 2023 - Springer
We propose a novel non-negative spherical relaxation for optimization problems over binary
matrices with injectivity constraints, which in particular has applications in multi-matching …
matrices with injectivity constraints, which in particular has applications in multi-matching …
A Survey on Computational Solutions for Reconstructing Complete Objects by Reassembling Their Fractured Parts
Reconstructing a complete object from its parts is a fundamental problem in many scientific
domains. The purpose of this article is to provide a systematic survey on this topic. The …
domains. The purpose of this article is to provide a systematic survey on this topic. The …