Journal
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
Volume 72, Issue -, Pages -Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIM.2023.3277991
Keywords
Camera noise; fringe projection profilome-try (FPP); high-order harmonic; sinusoidal pattern; smoothed-truncated-sine (STS) pattern
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This article introduces a smoothed-truncated-sine (STS) pattern design method that achieves higher accuracy than sinusoidal patterns under the same noise. The STS pattern achieves a higher signal-to-noise ratio (SNR) to reduce random error and maintains the amplitude of sensitive harmonics low to restrain systematic error. Simulations and experiments demonstrate that the proposed method achieves higher accuracy than sinusoidal patterns.
Sinusoidal patterns are widely employed in fringe projection profilometry (FPP) for high-accuracy measurements. However, in practice, random factors, such as camera noise, will seriously affect the accuracy of sinusoidal patterns. This article presents a smoothed-truncated-sine (STS) pattern design method that can achieve higher accuracy than sinusoidal patterns under the same noise. By insensitive harmonic modulation, the STS pattern can achieve a higher signal-to-noise ratio (SNR) to reduce the random error and maintain the amplitude of sensitive harmonics low to restrain the systematic error. First, the error mechanism is analyzed, and the error model is established for the phase-shifting algorithm, taking into account the resistance of the phase-shifting algorithm to part of high-order harmonic errors. Second, an STS pattern is proposed and optimized based on the error model. The parameters of the STS pattern are optimized to achieve a high SNR and a small phase error, resulting in improved performance of the multiple-step phase-shifting algorithm, especially when the number of steps is large. Simulations and experiments demonstrate that the proposed method achieves higher accuracy than sinusoidal patterns and that the maximum error reduction ratio exceeds 20% if the number of steps is sufficiently large in sinusoidal FPP.
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