Abstract

A phase calculation method using discrete Fourier series (DFS) is proposed to eliminate the effects of nonsinusoidal characteristics. In this method, the fundamental coefficients are extracted from continuous N samples in one cycle by DFS, with which four images with π/2 intervals are reconstructed, and then more accurate phase distribution can be further obtained. This method is applicable for improving the precision of the traditional phase-shifting algorithm. Its effectiveness and accuracy are verified by computer simulations and moiré fringe and projecting fringe experiments with about 85% of the phase error reduced compared with a four-step phase-shifting algorithm, about 70% reduction compared with a 16-step phase-shifting algorithm.

© 2015 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Phase shifting for nonsinusoidal waveforms with phase-shift errors

K. Hibino, B. F. Oreb, D. I. Farrant, and K.G. Larkin
J. Opt. Soc. Am. A 12(4) 761-768 (1995)

Two-step phase-shifting fringe projection profilometry: intensity derivative approach

Fujun Yang and Xiaoyuan He
Appl. Opt. 46(29) 7172-7178 (2007)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

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

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 OSA member, or as an authorized user of your institution.

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

Figures (8)

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

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

Tables (3)

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

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

Equations (10)

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

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

Metrics

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

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