Title
Learning coherent vector fields for robust point matching under manifold regularization.
Abstract
In this paper, we propose a robust method for coherent vector field learning with outliers (mismatches) using manifold regularization, called manifold regularized coherent vector field (MRCVF). The method could remove outliers from inliers (correct matches) and learn coherent vector fields fitting for the inliers with graph Laplacian constraint. In the proposed method, we first formulate the point matching problem as learning a corresponding vector field based on a mixture model (MM). Manifold regularization term is added to preserve the intrinsic geometry of the mapped point set of vector fields. More specially, the optimal mapping function is obtained by solving a weighted Laplacian regularized least squares (LapRLS) in a reproducing kernel Hilbert space (RKHS) with a matrix-valued kernel. Moreover, we use the Expectation Maximization (EM) optimization algorithm to update the unknown parameters in each iteration. The experimental results on the synthetic data set, real image data sets, and non-rigid images quantitatively demonstrate that our proposed method is robust to outliers, and it outperforms several state-of-the-art methods in most scenarios.
Year
DOI
Venue
2016
10.1016/j.neucom.2016.08.009
Neurocomputing
Keywords
Field
DocType
Point matching,Mismatch removal,Vector field learning,Manifold regularization,Kernel
Kernel (linear algebra),Laplacian matrix,Point set registration,Pattern recognition,Vector field,Manifold alignment,Artificial intelligence,Machine learning,Mathematics,Mixture model,Reproducing kernel Hilbert space,Regularization perspectives on support vector machines
Journal
Volume
Issue
ISSN
216
C
0925-2312
Citations 
PageRank 
References 
9
0.45
22
Authors
6
Name
Order
Citations
PageRank
Gang Wang1927.17
Zhicheng Wang217617.00
Yufei Chen332233.06
Xianhui Liu4141.75
Yingchun Ren590.45
Lei Peng690.45