Assessment of Fringe Pattern Decomposition with a Cross-Correlation Index for Phase Retrieval in Fringe Projection 3D Measurements.

Xinjun Zhu,Hongyi Wang,Qinghua Guo,Limei Song

doi:10.3390/s18103578

Xinjun Zhu, Hongyi Wang + Show 2 more

Open Access

https://doi.org/10.3390/s18103578

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Abstract

Phase retrieval from single frame projection fringe patterns, a fundamental and challenging problem in fringe projection measurement, attracts wide attention and various new methods have emerged to address this challenge. Many phase retrieval methods are based on the decomposition of fringe patterns into a background part and a fringe part, and then the phase is obtained from the decomposed fringe part. However, the decomposition results are subject to the selection of model parameters, which is usually performed manually by trial and error due to the lack of decomposition assessment rules under a no ground truth data situation. In this paper, we propose a cross-correlation index to assess the decomposition and phase retrieval results without the need of ground truth data. The feasibility of the proposed metric is verified by simulated and real fringe patterns with the well-known Fourier transform method and recently proposed Shearlet transform method. This work contributes to the automatic phase retrieval and three-dimensional (3D) measurement with less human intervention, and can be potentially employed in other fields such as phase retrieval in digital holography.

Highlights

Fringe projection optical three-dimensional (3D) shape measurement methods are becoming more and more popular in recent years due to their ability to provide high-resolution, high-speed, whole-fieldFourier transform method [7,8]
The wavelet transform method and the more recently developed empirical mode decomposition (EMD), variational image decomposition (VID) and Shearlet transform-based methods [10,11,12,13] have been proposed for phase retrieval from a single projection fringe pattern
The principles of these methods are different, many of them rely on background elimination, which can be formulated as a fringe pattern decomposition problem

Summary

Introduction

Fringe projection optical three-dimensional (3D) shape measurement methods are becoming more and more popular in recent years due to their ability to provide high-resolution, high-speed, whole-fieldFourier transform method [7,8]. Fringe projection optical three-dimensional (3D) shape measurement methods are becoming more and more popular in recent years due to their ability to provide high-resolution, high-speed, whole-field. Phase retrieval based on a single frame fringe projection pattern is highly desirable in these cases. Phase retrieval from a single frame fringe projection pattern has been extensively studied. The Fourier transform method and window Fourier transform (WFT) method are two widely used and well-known single frame phase retrieval techniques [8,9]. The wavelet transform method and the more recently developed empirical mode decomposition (EMD), variational image decomposition (VID) and Shearlet transform-based methods [10,11,12,13] have been proposed for phase retrieval from a single projection fringe pattern. The principles of these methods are different, many of them rely on background elimination, which can be formulated as a fringe pattern decomposition problem

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Results

Conclusion