Flexible phase error compensation based on Hilbert transform in phase shifting profilometry

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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.
Funding Information
  • Key Basic Research Project of Applied Basic Research Programs Supported by Hebei Province (15961701D)
  • National Natural Science Foundation of China (NSFC) (61171048, 61201355, 61311130138, 61377017, 61405122)
  • Research Project for High-level Talents in Hebei University (GCC2014049)
  • Scientific and Technological Project of the Shenzhen government (JCYJ20140828163633999)
  • Sino-German Center for Research Promotion (GZ760)

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