Abstract
Phase measurement profilometry (PMP) uses a digital projector and a camera for 3D shape measurement. However, the nonlinear response of the measurement system causes the captured perfect sinusoidal fringe patterns to become non-sinusoidal waveforms, which results in phase and measurement errors. We perform a theoretical analysis of the phase error resulting from non-sinusoidal fringe patterns. Based on a derived phase-error expression, the empirical mode decomposition (EMD) method is introduced to restrain nonlinear phase error and improve the precision in evaluating the phase distribution. A computer simulation and experimental results prove that the proposed method can eliminate possible phase-error in PMP.
Highlights
Phase measurement profilometry (PMP) uses a digital projector and a camera for 3D shape measurement
This study introduced the empirical mode decomposition (EMD) method into Phase Measurement Profilometry (PMP) for reducing the phase error
We showed that the phase error was caused by the nonlinear response of the measurement system
Summary
In PMP, a digital projector is used to generate a sinusoidal fringe pattern which is projected onto the surface of the test. The N frames of deformed images of the surface of the object are modulated by the fringe patterns, which are obtained using a CCD camera. In this case, the nonlinear response of the system causes the captured perfect sinusoidal fringe patterns to become non-sinusoidal waveforms, which results in phase fluctuation errors.
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