Dynamic three-dimensional measurement with optimal three-frequency fringe reuse

WANG Guanghang; ZHANG Zonghua; FU Shuai; GAO Nan; MENG Zhaozong

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Dynamic three-dimensional measurement with optimal three-frequency fringe reuse

Optical Sensing and Measurement | 更新时间：2026-07-23

- Dynamic three-dimensional measurement with optimal three-frequency fringe reuse
- OPTICAL TECHNIQUE Vol. 52, Issue 4, Pages: 466-472(2026)
- 作者机构：
  
  河北工业大学机械工程学院，天津 300401
- 作者简介：
- 基金信息：
- DOI：
  CLC： TH741
- Received：02 April 2026，
  
  Revised：2026-05-13，
  
  Accepted：18 May 2026，
  
  Online First：23 July 2026，
  
  Published：20 July 2026
- 稿件说明：
移动端阅览
王广航,张宗华,付帅等.基于条纹复用的最佳三条纹动态三维测量方法[J].光学技术,2026,52(04):466-472.

WANG Guanghang,ZHANG Zonghua,FU Shuai,et al.Dynamic three-dimensional measurement with optimal three-frequency fringe reuse[J].OPTICAL TECHNIQUE,2026,52(04):466-472.
王广航,张宗华,付帅等.基于条纹复用的最佳三条纹动态三维测量方法[J].光学技术,2026,52(04):466-472. DOI：

WANG Guanghang,ZHANG Zonghua,FU Shuai,et al.Dynamic three-dimensional measurement with optimal three-frequency fringe reuse[J].OPTICAL TECHNIQUE,2026,52(04):466-472. DOI：

摘要

针对传统最佳三条纹相位展开方法需采集12幅相移图才能获得一帧三维重建图、测量效率低下无法适应动态场景测量的问题，提出一种基于条纹复用的改进最佳三条纹方法。通过对条纹图的重复使用，使方法每新增一组四步相移图即可多获得一帧三维重建图。实验验证表明，未改进前可恢复出M帧三维重建图使用此方法后不需额外增加条纹图可恢复3M-2帧三维重建图，并且对运动误差进行补偿，对标准球杆进行测量，球A半径测量的RMSE为0.0259mm

球B半径测量的RMSE为0.0242mm。

Abstract

To address the issue that the traditional optimum three-frequency fringe phase unwrapping method requires 12 phase-shifted images to obtain one frame of 3D reconstruction

resulting in low measurement efficiency and inability to adapt to dynamic scene measurement

an improved optimum three-frequency method based on fringe reuse is proposed. By reusing fringe patterns

the proposed method enables obtaining one additional frame of 3D reconstruction for every newly added set of four-step phase-shifted images. Experimental verification shows that while the unimproved method can recover M frames of 3D reconstruction

the proposed method can recover 3M-2 frames without requiring additional fringe images. Furthermore

motion error is compensated

and measurements of a standard ball bar demonstrate that the RMSE for Ball A radius measurement is 0.0259 mm

and the RMSE for Ball B radius measurement is 0.0242 mm.

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references

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