A phase unwrapping method based on zernike polynomial and wkf

A polynomial and unwrapping technology, applied in the field of interferometry, can solve problems such as poor robustness, and achieve good stability, good noise robustness, and fast speed

Active Publication Date: 2021-08-13
XI AN JIAOTONG UNIV
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Problems solved by technology

[0004] However, the robustness of the above algorithms in the presence of large noise is relatively poor

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  • A phase unwrapping method based on zernike polynomial and wkf
  • A phase unwrapping method based on zernike polynomial and wkf
  • A phase unwrapping method based on zernike polynomial and wkf

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Embodiment Construction

[0045] see figure 1 , the phase unwrapping method of a kind of Zernike polynomial fitting of the present invention and wrapping Kalman filtering algorithm WKF, comprises the following steps:

[0046] S1. Establish a package phase space dynamic model based on Zernike polynomial fitting, and calculate Zernike polynomial Z i (x,y);

[0047] The method of Zernike polynomial fitting optical phase, that is, using a large number of pixels in the optical phase diagram to fit relatively few Zernike polynomial coefficients, is a method of data dimensionality reduction, which is essentially an overdetermined problem. solve. This means that the process of solving Zernike polynomial coefficients does not necessarily require all pixels to participate in the calculation. The advantage of introducing Zernike polynomials in phase unwrapping is that high noise points in the wrapped phase map can be removed so that they do not participate in the calculation of phase unwrapping, so as to impro...

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Abstract

The invention discloses a phase unwrapping method based on Zernike polynomials and WKF. A spatial dynamic model of wrapping phases is established through a Zernike polynomial fitting method, and undetermined Zernike polynomial coefficients in the model are calculated using WKF. In order to suppress the impact of large noise points on WKF, the present invention removes high noise points from subsequent WKF calculations by calculating the wrapped phase quality map, further improving stability, and dealing with extreme cases of WKF divergence. Capable of high accuracy and stability in high noise environments.

Description

technical field [0001] The invention belongs to the technical field of interferometry, and in particular relates to a phase unwrapping method of Zernike polynomial fitting and Wrapped Kalman Filter (Wrapped Kalman Filter, WKF). Background technique [0002] The phase recovery method of interference fringe pattern is the key technology to ensure the accuracy of interferometry, and the phase unwrapping is the key step of most phase recovery methods. Most of the phase recovery methods will introduce the arctangent function, so that the calculated phase is wrapped between (-π, π], and the phase unwrapping is to further restore the calculated wrapped phase to the real phase without interval restrictions . [0003] At present, the research on phase unwrapping methods at home and abroad can be divided into two categories: path-tracking algorithms and path-independent algorithms. The path tracking algorithm is characterized by satisfying the condition that the integral result has ...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01B9/02
CPCG01B9/02055G01B9/02083
Inventor 赵自新李均祥樊晨张航瑛赵宏
Owner XI AN JIAOTONG UNIV
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