Title
NRGA: Gravitational Approach for Non-rigid Point Set Registration
Abstract
Recovery of correspondences between point sets which differ by some non-rigid transformation is an ill-posed problem. Many existing methods underperform on noisy or corrupted input data. In this study, a novel physics-based approach -- Non-Rigid Gravitational Approach (NRGA) -- for non-rigid point set registration is introduced which is robust to the mentioned artifacts. Thereafter, a distributed N-body simulation and iterative Procrustes alignment non-rigidly transform and register the template point set. Furthermore, in the force field evolution, per-point Gaussian curvature serves as a shape matching descriptor whereas the displacement fields are regularized by coherent collective motion. The optimal alignment is referred to as the state of minimum gravitational potential energy between the point sets. A thorough experimental evaluation and comparison are provided with widely used state-of-the-art methods on 2D and 3D data sets. Experiments show NRGA's robustness against uniform outliers and missing data.
Year
DOI
Venue
2018
10.1109/3DV.2018.00091
2018 International Conference on 3D Vision (3DV)
Keywords
Field
DocType
Non-Rigid Registration,N-body Simulation,Coherent Collective Motion,Procrustes Alignment,Gaussian Curvature
Point set registration,Data set,Noise measurement,Outlier,Algorithm,Robustness (computer science),Potential energy,Missing data,Gaussian curvature
Conference
ISSN
ISBN
Citations 
2378-3826
978-1-5386-8426-9
2
PageRank 
References 
Authors
0.37
17
3
Name
Order
Citations
PageRank
Sk Aziz Ali131.39
Vladislav Golyanik22212.55
Didier Stricker31266138.03