The paper presents a binomial self-compensation (BSC) algorithm to effectively and flexibly eliminate motion error in four-step phase shifting profilometry (PSP) for dynamic 3D scanning.
The key highlights are:
The authors design a paraxial binocular structured light system that enables the use of high-frequency fringe patterns while ensuring accurate 3D reconstruction. This system intentionally sets a short baseline between the two cameras to achieve a narrow disparity range, facilitating the use of high frequency fringes.
The BSC algorithm utilizes the motion-affected phase sequence itself to compensate for motion error, without depending on any intermediate variables. By summing successive phase frames weighted by binomial coefficients, the motion error exponentially diminishes as the binomial order increases.
The BSC algorithm inherits the pixel-wise advantages of PSP and is frame-wise loopable, achieving a quasi-single-shot 3D imaging frame rate equal to the camera's acquisition rate (90 fps).
Extensive experiments demonstrate that the proposed BSC outperforms existing methods in reducing motion error, while maintaining robustness to depth discontinuous scenes and achieving high temporal resolution for dynamic 3D reconstruction.
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