Recently a powerful Fourier transform technique was introduced that was able to extract the phase from only one image. However, because the method is based on the two-dimensional Fourier transform, it inherently suffers from leakage effects. A novel procedure is proposed that does not exhibit this distortion. The procedure uses localized information and estimates both the unknown frequencies and the phases of the fringe pattern (using an interpolated fast Fourier transform method). This allows us to demodulate the fringe pattern without any distortion. The proposed technique is validated on both computer simulations and the profile measurements of a tube.
© 2004 Optical Society of America
Original Manuscript: December 15, 2003
Revised Manuscript: April 13, 2004
Manuscript Accepted: April 19, 2004
Published: September 20, 2004
Steve Vanlanduit, Joris Vanherzeele, Patrick Guillaume, Bart Cauberghe, and Peter Verboven, "Fourier fringe processing by use of an interpolated Fourier-transform technique," Appl. Opt. 43, 5206-5213 (2004)