Spatially frequency-multiplexed number-theoretic phase unwrapping technique for the Fourier-transform profilometry of objects with height discontinuities and/or spatial isolations

Mitsuo Takeda; Quan Gu; Masaya Kinoshita; Hideaki Takai; Yousuke Takahashi

doi:10.1117/12.276333

17 July 1996 Spatially frequency-multiplexed number-theoretic phase unwrapping technique for the Fourier-transform profilometry of objects with height discontinuities and/or spatial isolations

Mitsuo Takeda, Quan Gu, Masaya Kinoshita, Hideaki Takai, Yousuke Takahashi

Author Affiliations +

Proceedings Volume 2860, Laser Interferometry VIII: Techniques and Analysis; (1996) https://doi.org/10.1117/12.276333
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

To enhance the performance of the Fourier-transform profilometry, a phase unwrapping technique is proposed which is based on the number theory combined with spatial frequency multiplexing. The technique enables the automatic three-dimensional shape measurement of the objects that have discontinuous height steps and/or spatially isolated surfaces, which has not been possible by conventional fringe projection techniques. Another feature of the technique is that it requires only a single fringe pattern, which makes possible the measurement of objects in very fast motion. Experimental results are presented that demonstrate the validity of the principle. Keywords: phase unwrapping, profilometry, fringe analysis, optical metrology, heterodyne interferometry, Fourier transform

Citation Download Citation

Mitsuo Takeda, Quan Gu, Masaya Kinoshita, Hideaki Takai, and Yousuke Takahashi "Spatially frequency-multiplexed number-theoretic phase unwrapping technique for the Fourier-transform profilometry of objects with height discontinuities and/or spatial isolations", Proc. SPIE 2860, Laser Interferometry VIII: Techniques and Analysis, (17 July 1996); https://doi.org/10.1117/12.276333

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available