Weighted least squares phase unwrapping based on the wavelet transform

Jiafeng Chen; Haiqin Chen; Zhengang Yang; Haixia Ren

doi:10.1117/12.725761

29 January 2007 Weighted least squares phase unwrapping based on the wavelet transform

Jiafeng Chen, Haiqin Chen, Zhengang Yang, Haixia Ren

Proceedings Volume 6279, 27th International Congress on High-Speed Photography and Photonics; 62796S (2007) https://doi.org/10.1117/12.725761
Event: 27th International congress on High-Speed Photography and Photonics, 2006, Xi'an, China

Abstract

The weighted least squares phase unwrapping algorithm is a robust and accurate method to solve phase unwrapping problem. This method usually leads to a large sparse linear equation system. Gauss-Seidel relaxation iterative method is usually used to solve this large linear equation. However, this method is not practical due to its extremely slow convergence. The multigrid method is an efficient algorithm to improve convergence rate. However, this method needs an additional weight restriction operator which is very complicated. For this reason, the multiresolution analysis method based on the wavelet transform is proposed. By applying the wavelet transform, the original system is decomposed into its coarse and fine resolution levels and an equivalent equation system with better convergence condition can be obtained. Fast convergence in separate coarse resolution levels speeds up the overall system convergence rate. The simulated experiment shows that the proposed method converges faster and provides better result than the multigrid method.

Citation Download Citation

Jiafeng Chen, Haiqin Chen, Zhengang Yang, and Haixia Ren "Weighted least squares phase unwrapping based on the wavelet transform", Proc. SPIE 6279, 27th International Congress on High-Speed Photography and Photonics, 62796S (29 January 2007); https://doi.org/10.1117/12.725761

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