Spectral Correspondence Using the TPS Deformation Model

  • Authors:
  • Jun Tang;Nian Wang;Dong Liang;Yi-Zheng Fan;Zhao-Hong Jia

  • Affiliations:
  • Key Lab of Intelligent Computing & Signal Processing Ministry of Education, Anhui University, Hefei 230039, China;Key Lab of Intelligent Computing & Signal Processing Ministry of Education, Anhui University, Hefei 230039, China;Key Lab of Intelligent Computing & Signal Processing Ministry of Education, Anhui University, Hefei 230039, China;Key Lab of Intelligent Computing & Signal Processing Ministry of Education, Anhui University, Hefei 230039, China and Department of Mathematics, Anhui University, Hefei 230039, China;Key Lab of Intelligent Computing & Signal Processing Ministry of Education, Anhui University, Hefei 230039, China

  • Venue:
  • ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
  • Year:
  • 2007

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Abstract

This paper presents a novel algorithm for point correspondences using spectral graph analysis. Firstly, the correspondence probabilities are computed by using the modes of proximity matrix and the method of doubly stochastic matrix. Secondly, the TPS deformation model is introduced into the field of spectral correspondence to estimate the transformation parameters between two matched point-sets. The accuracy of correspondences is improved by bringing one point-set closer to the other in each iteration with transformation parameters estimated from the current correspondences. Experiments on both real-world and synthetic data show that our method possesses comparatively high accuracy.