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A Phase Unwrapping Method Based on Differential Evolution Algorithm

A differential evolution algorithm and unwrapping technology, applied in the field of optical interferometry, can solve problems such as poor robustness, and achieve the effect of improving robustness and eliminating fitting distortion

Active Publication Date: 2019-05-21
XI AN JIAOTONG UNIV
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Problems solved by technology

[0004] However, the robustness of the above algorithms is poor under large noise, therefore, it is necessary to provide a technical solution that can solve the problem of robustness

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  • A Phase Unwrapping Method Based on Differential Evolution Algorithm
  • A Phase Unwrapping Method Based on Differential Evolution Algorithm
  • A Phase Unwrapping Method Based on Differential Evolution Algorithm

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Embodiment Construction

[0048] In most cases of optical surface detection, the outgoing wavefront of the measured optical surface or optical system always tends to be smooth and continuous, and such a wavefront function must be expressed as a complete linear combination of basis functions. Therefore, the Zernike polynomial is often used as the basis function to fit the measured discrete data, and the actual wave surface or surface shape is expressed as a linear combination of Zernike polynomial terms, and then the real phase is globally approximated, and the undetermined coefficients are solved using an optimization algorithm.

[0049] The differential evolution algorithm (Differential Evolution, DE) was first proposed by Storn and Price in 1997. It is a simple and effective random parallel optimization algorithm based on group intelligence. Intelligence to guide the optimization search is very effective for global optimization problems defined on continuous spaces. The unique memory ability of the D...

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Abstract

The invention discloses a phase unwrapping method based on a differential evolution (DE) algorithm. The core of the method is that a real phase is globally approached by use of a finite-term orthogonal polynomial (Zernike) and a coefficient to be determined is solved by use of the DE algorithm. For the purpose of preventing a final unwrapping result from being affected by data points polluted by big noise, a weight Zernike polynomial fitting method is employed. According to the invention, measured discrete data is fitted by taking the Zernike polynomial as a basis function, the accuracy of a fitting result is guaranteed, the coefficient to be determined is solved by performing dynamic random search by use of the DE algorithm, and the global convergence and robustness are quite high.

Description

【Technical field】 [0001] The invention belongs to the technical field of optical interferometry, relates to a differential evolution algorithm (Differential Evolution, DE), in particular to a phase unwrapping method based on a differential evolution algorithm. 【Background technique】 [0002] Interferogram processing is a key technology in optical interferometry. The phase unwrapping is the key to the interferometric processing technology introduced by Fast Fourier Transformation (FFT), phase shifting, spatial projection and other technologies to calculate the arctangent function. Most of the phases are obtained by the arctangent function, and the value range of the arctangent function is (-π, π], so the phase obtained is wrapped between (-π, π], and the phase unwrapping is The process of restoring the phase wrapped between (-π, π] to the real phase. [0003] In order to realize the unwrapping operation well, scholars at home and abroad have proposed many phase unwrapping a...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01B9/02
CPCG01B9/02055G01B9/02083
Inventor 赵自新肖昭贤张航瑛赵宏
Owner XI AN JIAOTONG UNIV