Binomial Self-compensation for Motion Error in Dynamic 3D Scanning
<|reference_start|>Binomial Self-compensation for Motion Error in Dynamic 3D Scanning: Phase shifting profilometry (PSP) is favored in high-precision 3D scanning due to its high accuracy, robustness, and pixel-wise property. However, a fundamental assumption of PSP that the object should remain static is violated in dynamic measurement, making PSP susceptible to object moving, resulting in ripple-like errors in the point clouds. We propose a pixel-wise and frame-wise loopable binomial self-compensation (BSC) algorithm to effectively and flexibly eliminate motion error in the four-step PSP. Our mathematical model demonstrates that by summing successive motion-affected phase frames weighted by binomial coefficients, motion error exponentially diminishes as the binomial order increases, accomplishing automatic error compensation through the motion-affected phase sequence, without the assistance of any intermediate variable. Extensive experiments show that our BSC outperforms the existing methods in reducing motion error, while achieving a depth map frame rate equal to the camera's acquisition rate (90 fps), enabling high-accuracy 3D reconstruction with a quasi-single-shot frame rate.<|reference_end|>
@article{zhang2024binomial,
    title={Binomial Self-compensation for Motion Error in Dynamic 3D Scanning},
    author={Geyou Zhang, Ce Zhu, and Kai Liu},
    journal={arXiv preprint arXiv:2404.06693},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.06693},
    primaryClass={cs.CV eess.IV}
}