Modeling and Compensating Phase Error in High-speed 3D Reconstruction

Error-diffusion-based binary-defocusing fringe projection pro-filometry has been widely adopted for high-speed 3D imaging of dynamicobjects due to its high measurement efficiency. However, existing errordiffusion methods often neglect the intrinsic relationship between fringepattern structures and the diffusion direction, resulting in systematicphase errors in the generated binary patterns. To overcome this limi-tation, we develop a theoretical model of phase errors in the ditheringalgorithm that elucidates the mechanisms linking phase errors to thediffusion direction. Based on this analysis, a binary fringe generationstrategy is designed. In this approach, fringe patterns in the four-stepphase-shifting method are grouped, and binarization is performed us-ing both the Floyd Steinberg algorithm and its inverse. This processexploits inter-fringe error-compensation effects to enhance measurementaccuracy. Experimental results demonstrate that the proposed methodreduces binarization-induced errors by 23.77% without additional com-putational overhead, confirming its superior performance in terms of bothaccuracy and efficiency.