Study on the unweighted least-squares phase unwrapping algorithm

Xuhui Wang; Zhihui Zhang; Zhongjia Guo; Huaying Wang

doi:10.1117/12.870538

17 November 2010 Study on the unweighted least-squares phase unwrapping algorithm

Xuhui Wang, Zhihui Zhang, Zhongjia Guo, Huaying Wang

Proceedings Volume 7848, Holography, Diffractive Optics, and Applications IV; 784830 (2010) https://doi.org/10.1117/12.870538
Event: Photonics Asia 2010, 2010, Beijing, China

Abstract

Two-dimensional phase unwrapping algorithm is the important step and key technology of three-dimensional shape measurement. In order to obtain the appearance characteristics of the object more accurately, a new phase unwrapping algorithm based on unweighted least-squares is presented in this paper, which is an improvement of discrete cosine transform (DCT) phase unwrapping algorithm. The advantage of this method is not only because of the global algorithms, processing the image as a whole, each pixel's value in the image is uniquely determined by solving the Discrete Poisson's equation with Newman boundary conditions which makes the least-squares solution of the wrapped and unwrapped phase difference minimum, but also can reduce the residues effectively. Through computer simulation, this new method and the original DCT algorithm were compared. Theoretical analysis and the results prove the validity of this method .The improved algorithm can eliminate the residues in the wrapped phase pictures more effectively. The phase information of the object can be reconstructed more accurately.

Citation Download Citation

Xuhui Wang, Zhihui Zhang, Zhongjia Guo, and Huaying Wang "Study on the unweighted least-squares phase unwrapping algorithm", Proc. SPIE 7848, Holography, Diffractive Optics, and Applications IV, 784830 (17 November 2010); https://doi.org/10.1117/12.870538

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