高泽,向黔怀,吴佩悦,孙成,严飞.基于等间距二值条纹的十六步相移编码方法[J].电子测量与仪器学报,2026,40(4):154-167
基于等间距二值条纹的十六步相移编码方法
Sixteen-step phase-shifting encoding method based onequally spaced binary stripes
  
DOI:
中文关键词:  三维测量  二值条纹  正弦条纹  十六步相移法
英文关键词:3D measurement  binary stripe  sinusoidal fringe  sixteen-step phase-shifting method
基金项目:江苏省重点研发计划(BE2020006-2)、国家自然科学基金项目(61605083)、江苏省研究生实践创新计划( SJCX25_0497)项目资助
作者单位
高泽 南京信息工程大学自动化学院南京210044 
向黔怀 南京信息工程大学自动化学院南京210044 
吴佩悦 南京信息工程大学自动化学院南京210044 
孙成 南京信息工程大学自动化学院南京210044 
严飞 1.南京信息工程大学自动化学院南京210044;2.江苏省大气环境与装备技术协同创新中心南京210044 
AuthorInstitution
Gao Ze School of Automation, Nanjing University of Information Science and Technology, Nanjing 210044,China; 
Xiang Qianhuai School of Automation, Nanjing University of Information Science and Technology, Nanjing 210044,China; 
Wu Peiyue School of Automation, Nanjing University of Information Science and Technology, Nanjing 210044,China; 
Sun Cheng School of Automation, Nanjing University of Information Science and Technology, Nanjing 210044,China; 
Yan Fei 1.School of Automation, Nanjing University of Information Science and Technology, Nanjing 210044,China; 2.Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology, Nanjing 210044,China 
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中文摘要:
      结构光三维测量技术广泛应用于工业检测、医疗成像等领域,其测量精度受到投影仪非线性影响而降低。针对传统相移法在非线性环境下的误差问题,特别是在与二值条纹投影技术结合时,通常需要大量条纹图案以保证测量精度,造成数据采集效率低下。围绕如何提高测量精度并减少投影幅数展开研究,提出了一种基于等间距二值条纹的十六步相移编码方法。该方法通过预先生成满足等间距分布的二值条纹图案,并将这些条纹与同一周期内的正弦强度值进行一一映射匹配,进一步采用加权叠加策略重构正弦条纹。这种创新编码方式使得每幅二值条纹不仅能够独立贡献信息,还能在十六步相移解算法中被高效重复利用,从而显著降低所需条纹图案数量,有效提升三维测量效率。在实验环节,将所提出方法与传统十六步相移法、十六步二值离焦法及十六步二进制编码法进行了定量对比。结果显示,该方法在展开相位精度方面取得了显著提升,展开相位精确率较其他3种方法分别提高了71.42%、87.17%和85.29%,表明新方法在提高测量精度和减少投影幅数方面具有显著优势。
英文摘要:
      Structured light 3D measurement technology is widely used in fields such as industrial inspection and medical imaging, but its measurement accuracy is often reduced due to the nonlinearity of the projector. In traditional phase-shifting methods, especially when combined with binary fringe projection techniques, a large number of fringe patterns are typically required to ensure measurement precision, which leads to low data acquisition efficiency. Focusing on how to improve measurement accuracy while reducing the number of projected patterns, this paper proposes a sixteen-step phase-shifting encoding method based on equally spaced binary fringes. The method generates binary fringe patterns with equally spaced distribution in advance, maps these patterns one-to-one to the corresponding sinusoidal intensity values within the same period, and then reconstructs the sinusoidal fringe through a weighted summation strategy. This innovative encoding approach enables each binary fringe to not only contribute information independently but also to be efficiently reused in the sixteen-step phase-shifting algorithm, thus significantly reducing the required number of fringe patterns and effectively improving 3D measurement efficiency. In the experimental section, the proposed method was quantitatively compared with the traditional sixteen-step phase-shifting method, the sixteen-step binary defocusing method, and the sixteen-step binary encoding method. The results show that, in terms of unwrapped phase accuracy, the proposed method achieved significant improvements, with the accuracy rates increasing by 71.42%, 87.17%, and 85.29% respectively compared to the other three methods, demonstrating its remarkable advantages in both enhancing measurement precision and reducing the number of projected patterns.
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