title: Flexible phase error compensation based on Hilbert transform in phase shifting profilometry.
abstract: This paper makes use of Hilbert transform to analyze and compensate the phase error caused by the nonlinear effect in phase shifting profilometry (PSP). The characteristics of the phase error distribution in Hilbert transform domain was analyzed and compared with spatial domain. A simple and flexible phase error compensation method was proposed to directly process the phase-shifting fringe images without any auxiliary conditions or complicated computation. Experimental results demonstrated that the phase error can be reduced by about 80% in three-step PSP, and more than 95% in four or more step PSP, which verified the effectiveness, flexibility, robustness and automation of the proposed phase error compensation method.
authors.forename: Zewei
authors.initials: Z
authors.lastname: Cai
authors.forename: Xiaoli
authors.initials: X
authors.lastname: Liu
authors.forename: Hao
authors.initials: H
authors.lastname: Jiang
authors.forename: Dong
authors.initials: D
authors.lastname: He
authors.forename: Xiang
authors.initials: X
authors.lastname: Peng
authors.forename: Shujun
authors.initials: S
authors.lastname: Huang
authors.forename: Zonghua
authors.initials: Z
authors.lastname: Zhang