Computer-generated moiré profilometry based on fringe-superposition

Abstract

A computer-generated moiré profilometry based on algebraic addition instead of algebraic multiplication is proposed. Firstly, the two AC components of the captured fringe patterns on the reference plane with $$\pi /2$$ π / 2 phase difference are retrieved and saved in advance. While measuring, two sinusoidal gratings with $$\pi$$ π phase difference are projected onto the measured object alternatively, and the corresponding deformed patterns are captured. Then the AC component of the captured deformed pattern can be separated exactly. When the positive and negative AC component of the captured deformed pattern are added to the two prestored AC components respectively, two moiré fringes only reflect sine and cosine of the object’s phase information can be successfully generated via a series of data processing procedures. Finally, the phase distribution of the measured object can be extracted by arctangent of the ratio of these two moiré fringes. Compared with computer-generated moiré profilometry based on algebraic multiplication, this proposed method can reduce the effect of high frequency noise and residual DC component on measurement and improve the measurement accuracy. While compared with $$\pi$$ π phase shifting FTP, this method can measure more complex objects with better measurement capability. Experimental results verify the feasibility and validity of the proposed method.

Colored digital Moire technique for self-occluding shading in fringe projection profilometry

“…12,21 Several approaches employ the projected phase carrier to calculate the moiré pattern by arithmetic and algebraic manipulation so that the extracted phase quality is comparable to that using PSAs. 22,23 Digital moiré's advantages underlie the high speed and simplicity, whereas the approach to calculate the moiré pattern drives the accuracy of the technique. We highlight that one should not consider digital moiré as a spatial phase carrier method even though it phase demodulates the fringe signal using the carrier as a reference; the reason is that this technique aims to estimate an input signal for a PSA.…”