In answer to the questions raised by Ferrari and Garbusi [Opt. Lett. <b>29</b>, 1257 (2004)] we indicate that, even if the intensities of the object and reference waves can be measured, the phase-shifting procedure is still necessary for correct reconstruction of the object wave field. We also show that the statistical approximation used in our previous Letter [Opt. Lett. <b>28</b>, 1808 (2003)], 〈|sinɕ<sub>o</sub> (x, y)|〉=2/π , where ɕ<sub>o</sub>(x, y) is the phase of a diffraction field and 〈〉 means average over the whole interferogram frame, is reasonable for most objects, including both smooth and diffusing surfaces, and that the method we proposed for phase-shift extraction is correct.
© 2004 Optical Society of America
(090.2880) Holography : Holographic interferometry
(100.2000) Image processing : Digital image processing
(100.3010) Image processing : Image reconstruction techniques
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
L. Z. Cai, Q. Liu, and X. L. Yang, "Reply to comment on 'Phase-shift extraction and wave-front reconstruction in phase-shifting interferometry with arbitrary phase steps'," Opt. Lett. 29, 1259-1260 (2004)