Digital fringe image gamma modeling and new algorithm for phase error compensation

Cui, Haihua; Zhao, Zhimin; Wu, Yirong; Dai, Ning; Cheng, Xiaosheng; Zhang, Lin

doi:10.1016/j.ijleo.2014.07.109

Cited by 11 publications

(5 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Figure 5 experimentally demonstrates that the distribution of the gamma phase error along with the real phase is periodic, and the period approximates to 2π/N , which has been theoretically deduced by Pan et al [23]. Figure 5 also indicates that the distribution of the gamma phase error along with the real phase is similar to but more complex than a sinusoid.…”

Section: Detection Of the Gamma Phase Errorsupporting

confidence: 65%

“…In order to detect the random phase error individually, the impact of the gamma effect should be wiped off. Many theoretical analyses and experimental results have concluded that the phase error caused by the gamma effect approximates to zero when the real phase is zero [20][21][22][23][24]31]. Hence, the impact of the gamma effect can be eliminated by selecting Φ 0 = 0.…”

Section: Detection Of the Random Phase Errormentioning

confidence: 99%

“…Zhang et al calculated the gamma phase error from the phase of one complete period, and constructed a look up table to compensate the phase error [22]. Cui et al worked out a model for phase error compensation based on binomial and Fourier series expansion [23]. Cai et al proposed two novel, accurate approaches to realize both active and passive phase error compensation based on a universal phase error model [24].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Phase accuracy evaluation for phase-shifting fringe projection profilometry based on uniform-phase coded image

Zhang¹,

Zhao²,

Zhu³

et al. 2018

Meas. Sci. Technol.

View full text Add to dashboard Cite

Phase-shifting fringe projection profilometry (PSFPP) is a three-dimensional (3D) measurement technique widely adopted in industry measurement. It recovers the 3D profile of measured objects with the aid of the fringe phase. The phase accuracy is among the dominant factors that determine the 3D measurement accuracy. Evaluation of the phase accuracy helps refine adjustable measurement parameters, contributes to evaluating the 3D measurement accuracy, and facilitates improvement of the measurement accuracy. Although PSFPP has been deeply researched, an effective, easy-to-use phase accuracy evaluation method remains to be explored. In this paper, methods based on the uniform-phase coded image (UCI) are presented to accomplish phase accuracy evaluation for PSFPP. These methods work on the principle that the phase value of a UCI can be manually set to be any value, and once the phase value of a UCI pixel is the same as that of a pixel of a corresponding sinusoidal fringe pattern, their phase accuracy values are approximate. The proposed methods provide feasible approaches to evaluating the phase accuracy for PSFPP. Furthermore, they can be used to experimentally research the property of the random and gamma phase errors in PSFPP without the aid of a mathematical model to express random phase error or a large-step phase-shifting algorithm. In this paper, some novel and interesting phenomena are experimentally uncovered with the aid of the proposed methods.

show abstract

Section: Detection Of the Gamma Phase Errorsupporting

confidence: 65%

Section: Detection Of the Random Phase Errormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Phase accuracy evaluation for phase-shifting fringe projection profilometry based on uniform-phase coded image

Zhang¹,

Zhao²,

Zhu³

et al. 2018

Meas. Sci. Technol.

View full text Add to dashboard Cite

show abstract

“…These artefacts were attributed to a phenomenon known as gamma non-linearity. It occurred due to a phase error caused by the non-linearity of the projection output and deviation of light intensity levels from the expected sinusoidal pattern [8][9][10][11].…”

Section: Resultsmentioning

confidence: 99%

Simplified Geometric Model for Generic Projector Application in Digital Fringe Profilometry

Yee¹

2020

IJATCSE

View full text Add to dashboard Cite

This research proposes a simplified geometric model for a generic projector application in digital fringe profilometry. Reported works have high number of model parameters and project at slanted angles. This increases complexity of the calibration processes and causes . The arrangement also complicates the determination of model parameters as the inner details of a projector are not revealed to end user. The proposed model enables simpler calibration by determining only three parameters, eliminating inconsistency of fringe width, and applying a more suitable light path configuration for any generic projector available off-the-shelf. Three conditions must be met for the model to function appropriately, which includes (1) the camera optical axis and projector reference line must be orthogonal to the reference plane, (2) the measured object must be within the overlapped light path area between the camera and projector, and (3) the end of the image acquisition area must be placed before the reference line of the projector. Experimental result shows that the model is capable of reconstructing object with errors recorded at 0.07 ± 0.04 mm, 0.10 ± 0.04 mm and 2.63 ± 0.20 mm for flat, slanted and curved surfaces, respectively.

show abstract

“…The former directly compensates the phase error during phase calculation with the gamma-distorted captured images [10][11][12][13][14]. The latter modifies the projected fringe patterns with the calibrated gamma factor, which means the captured images have approximately sinusoidal intensity [7,[14][15][16][17][18]. In order to compensate the phase error accurately and conveniently, researchers were devoted to building an accurate, simple and universal phase error model to analyze the power-law response in the measurement system.…”

Section: Introductionmentioning

confidence: 99%

Phase error compensation methods for high-accuracy profile measurement

Cai

Liu

Peng

et al. 2016

Meas. Sci. Technol.

View full text Add to dashboard Cite

In a phase-shifting algorithm-based fringe projection profilometry, the nonlinear intensity response, called the gamma effect, of the projector-camera setup is a major source of error in phase retrieval. This paper proposes two novel, accurate approaches to realize both active and passive phase error compensation based on a universal phase error model which is suitable for a arbitrary phase-shifting step. The experimental results on phase error compensation and profile measurement of standard components verified the validity and accuracy of the two proposed approaches which are robust when faced with changeable measurement conditions.

show abstract

Digital fringe image gamma modeling and new algorithm for phase error compensation

Cited by 11 publications

References 20 publications

Phase accuracy evaluation for phase-shifting fringe projection profilometry based on uniform-phase coded image

Phase accuracy evaluation for phase-shifting fringe projection profilometry based on uniform-phase coded image

Simplified Geometric Model for Generic Projector Application in Digital Fringe Profilometry

Phase error compensation methods for high-accuracy profile measurement

Contact Info

Product

Resources

About