Title
Nonlinear 2D shape registration via thin-plate spline and Lie group representation.
Abstract
Thin-plate spline for robust point matching (TPS-RPM) algorithm is a famous and widely used approach in nonlinear shape registration. In this paper, we improve this approach by adopting an alternatively iterative strategy of globally affine and locally nonlinear registration. Concretely, in the affine registration step, we apply the Lie group parameterization method to globally align two shapes to assume the global similarity. In which, some suitable constraints are introduced to improve the robustness of algorithm. Then, in the locally nonlinear deformation step, we apply the thin-plate spline approach. By alternatively iterating these two steps, the proposed method not only preserves the advantages of spline methods, but also overcomes an overmatching phenomenon in shape registration. Finally, we test the proposed method on several conventional data sets with comparison of TPS-RPM. The experimental results validate that our method is really effective for nonlinear shape registration as well as more robust.
Year
DOI
Venue
2016
10.1016/j.neucom.2015.07.144
Neurocomputing
Keywords
Field
DocType
Nonlinear shape registration,Lie group,Thin-plate spline,Robust point matching,Alternatively iterative strategy
Affine transformation,Spline (mathematics),Lie group,Thin plate spline,Nonlinear system,Robustness (computer science),Artificial intelligence,Topology,Point set registration,Pattern recognition,Smoothing spline,Algorithm,Mathematics
Journal
Volume
Issue
ISSN
195
C
0925-2312
Citations 
PageRank 
References 
4
0.40
21
Authors
4
Name
Order
Citations
PageRank
Shihui Ying123323.32
Yuanwei Wang240.40
Zhijie Wen3397.14
Yu-ping Lin4987.88