Binomial Self-compensation for Motion Error in Dynamic 3D Scanning

• URL: http://arxiv.org/abs/2404.06693v3
• Date: Sat, 26 Oct 2024 03:19:42 GMT
• Title: Binomial Self-compensation for Motion Error in Dynamic 3D Scanning
• Authors: Geyou Zhang, Ce Zhu, Kai Liu,
• Abstract summary: A fundamental assumption of PSP that the object should remain static is violated in dynamic measurement. 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 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)
• Score: 29.19420538435485
• License:
• Abstract: 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.

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