A phase error compensation method for three-dimensional shape measurement using improved iteration algorithm

IF 1.2 4区物理与天体物理 Q4 OPTICS

Journal of Modern Optics Pub Date : 2023-05-04 DOI:10.1080/09500340.2023.2266065

Xin Meng, Shifeng Wang, Peng Zhang, Feng Qian, Jun Ma, Jin Meng, Kaiyue Du, Bo Lu, Shigeng Song

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引用次数: 0

Abstract

AbstractThe binary defocusing has been extensively studied in the three-dimensional measurement. But if the projector is slightly defocused, the binary fringes after defocusing still contain high-order harmonics compared with the ideal sinusoidal fringes, so the phase error caused by the nonlinear response is not negligible. In this paper, two models are proposed to calculate and compensate phase error, which include a double-precision iterative compensation model (DPICM) and a dual-domain iterative compensation model (DDICM). These two models obtain accurate phase errors by fusing the phases at different precision and domains. DPICM is composed of the double precision method and the improved iterative algorithm, and DDICM consists of the dual-domain method and the improved iterative algorithm. This improved iterative algorithm is used to compensate phase error, which can improve phase accuracy. DPICM and DDICM reduce the RMS error by 25.5% and 13.5% respectively.KEYWORDS: Three-dimensional shape measurementphase error compensationiteration algorithmphase shifting profilometry Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThis work is supported by International Cooperation Foundation of 10.13039/501100003807 Jilin Province (Grant Nos. 20210402074GH) and the 111 Project of China (Grant Nos. D21009 and D17017).

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基于改进迭代算法的三维形状测量相位误差补偿方法

摘要二元离焦在三维测量中得到了广泛的研究。但如果投影仪稍微离焦，离焦后的二元条纹与理想正弦条纹相比仍然含有高次谐波，因此非线性响应引起的相位误差不可忽略。本文提出了双精度迭代补偿模型(DPICM)和双域迭代补偿模型(DDICM)两种相位误差计算与补偿模型。这两种模型通过融合不同精度和域的相位，获得了精确的相位误差。DPICM由双精度法和改进迭代算法组成，DDICM由双域法和改进迭代算法组成。采用改进的迭代算法补偿相位误差，提高了相位精度。DPICM和DDICM分别使均方根误差降低25.5%和13.5%。关键词:三维形状测量相位误差补偿迭代算法相移轮廓术披露声明作者未报告潜在利益冲突经费资助:吉林省10.13039/501100003807国际合作基金(批准号:20210402074GH)和中国111工程(批准号:D21009和D17017)。

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来源期刊

Journal of Modern Optics 物理-光学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

2.6 months

期刊介绍： The journal (under its former title Optica Acta) was founded in 1953 - some years before the advent of the laser - as an international journal of optics. Since then optical research has changed greatly; fresh areas of inquiry have been explored, different techniques have been employed and the range of application has greatly increased. The journal has continued to reflect these advances as part of its steadily widening scope. Journal of Modern Optics aims to publish original and timely contributions to optical knowledge from educational institutions, government establishments and industrial R&D groups world-wide. The whole field of classical and quantum optics is covered. Papers may deal with the applications of fundamentals of modern optics, considering both experimental and theoretical aspects of contemporary research. In addition to regular papers, there are topical and tutorial reviews, and special issues on highlighted areas. All manuscript submissions are subject to initial appraisal by the Editor, and, if found suitable for further consideration, to peer review by independent, anonymous expert referees. General topics covered include: • Optical and photonic materials (inc. metamaterials) • Plasmonics and nanophotonics • Quantum optics (inc. quantum information) • Optical instrumentation and technology (inc. detectors, metrology, sensors, lasers) • Coherence, propagation, polarization and manipulation (classical optics) • Scattering and holography (diffractive optics) • Optical fibres and optical communications (inc. integrated optics, amplifiers) • Vision science and applications • Medical and biomedical optics • Nonlinear and ultrafast optics (inc. harmonic generation, multiphoton spectroscopy) • Imaging and Image processing