Title
Fast Simultaneous Gravitational Alignment of Multiple Point Sets
Abstract
The problem of simultaneous rigid alignment of multiple unordered point sets which is unbiased towards any of the inputs has recently attracted increasing interest, and several reliable methods have been newly proposed. While being remarkably robust towards noise and clustered outliers, current approaches require sophisticated initialisation schemes and do not scale well to large point sets. This paper proposes a new resilient technique for simultaneous registration of multiple point sets by interpreting the latter as particle swarms rigidly moving in the mutually induced force fields. Thanks to the improved simulation with altered physical laws and acceleration of globally multiply-linked point interactions with a 2D-tree (D is the space dimensionality), our Multi-Body Gravitational Approach (MBGA) is robust to noise and missing data while supporting more massive point sets than previous methods (with 105 points and more). In various experimental settings, MBGA is shown to outperform several baseline point set alignment approaches in terms of accuracy and runtime. We make our source code available for the community to facilitate the reproducibility of the results <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup> . <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup> http://gvv.mpi-inf.mpg.de/projects/MBGA/.
Year
DOI
Venue
2020
10.1109/3DV50981.2020.00019
2020 International Conference on 3D Vision (3DV)
Keywords
DocType
ISSN
fast simultaneous gravitational alignment,multiple unordered point sets,multiply-linked point interactions,particle swarm optimisation,2D-tree,initialisation schemes,multibody gravitational approach,baseline point set alignment approaches
Conference
2378-3826
ISBN
Citations 
PageRank 
978-1-7281-8129-5
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Vladislav Golyanik12212.55
Soshi Shimada200.34
Christian Theobalt33211159.16