Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Generic nonsinusoidal fringe model and gamma calibration in phase measuring profilometry

Not Accessible

Your library or personal account may give you access

Abstract

Gamma distortion is a dominant error source of phase measuring profilometry. It makes a single frequency for the ideal sinusoidal waveform an infinite width of spectrum. Besides, the defocus of the projector-camera system, like a spatial low-pass filter, attenuates the amplitudes of the high-frequency harmonics. In this paper, a generic distorted fringe model is proposed, which is expressed as a Fourier series. The mathematical model of the harmonic coefficients is derived. Based on the proposed model, a robust gamma calibration method is introduced. It employs the multifrequency phase-shifting method to eliminate the effect of defocus and preserve the influence of gamma distortion. Then, a gamma correction method is proposed to correct the gamma distortion with the calibrated gamma value. The proposed correction method has the advantage of high signal-to-noise ratio. The proposed model is verified through experiments. The results confirm that the phase error is dependent on the defocus and the pitch. The proposed gamma calibration method is compared with the state of the art and proves to be more robust to pitch and defocus variations. After adopting the proposed gamma correction method, the phase precision is much enhanced with higher quality in the measured surfaces.

©2012 Optical Society of America

Full Article  |  PDF Article
More Like This
Gamma model and its analysis for phase measuring profilometry

Kai Liu, Yongchang Wang, Daniel L. Lau, Qi Hao, and Laurence G. Hassebrook
J. Opt. Soc. Am. A 27(3) 553-562 (2010)

Active projection nonlinear γ correction method for fringe projection profilometry

Lin Wang, Yuetong Zhang, Lina Yi, Xin Hao, Meiyi Wang, and Xiangjun Wang
J. Opt. Soc. Am. A 39(11) 1983-1991 (2022)

Robust gamma correction based on chord distribution coding considering projector defocusing

Gaoxu Deng, Shiqian Wu, Lingyun Zou, Wei Cao, and Hao Han
Appl. Opt. 61(10) 2842-2849 (2022)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (13)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (46)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved