The recently proposed omnidirectional depth segmentation method (ODSM) has advantages over traditional depth segmentation in terms of robustness and computational costs. However, this method uses at least six fringe patterns and changes their sequences multiple times to perform depth segmentation, which limits its segmentation speed and increases computational complexity. This paper proposes a fast computational depth segmentation (FCDS) method in which only five patterns are used for object segmentation at different depths into isolated regions without the requirement of pattern sequence changing. Phase singularity points are fully utilized due to their significance as depth segmentation markers to extract segmenting lines used for depth determination. Meanwhile, a modified Fourier transform algorithm (MFTA) is introduced to calculate the wrapped phase sequences, which uses two groups of orthogonal phase-shifting fringe patterns and a DC component pattern (five in total). The segmenting lines along orthogonal directions can be extracted with the FCDS method without changing the fringe sequences, which not only solves the problem of phase insensitivity but reduces the calculation costs. Besides, the problem of mis-segmentation is solved with an optimization algorithm for depth segmenting lines and successfully segments objects with abrupt depth changes. The simulation results demonstrate the effectiveness and precision of the proposed method. The experimental results prove the success of the proposed method for segmenting objects of similar color with a segmentation speed that is up to a 120% increase relative to previous methods.

中文翻译：

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使用正交条纹图案快速计算深度分割而无需改变图案序列

就鲁棒性和计算成本而言，最近提出的全向深度分割方法（ODSM）具有优于传统深度分割的优势。但是，该方法至少使用六个条纹图案并多次更改其序列以执行深度分割，这限制了其分割速度并增加了计算复杂度。本文提出了一种快速计算深度分割（FCDS）方法，该方法仅使用五个模式就可以将不同深度的对象分割成孤立区域，而无需更改模式序列。由于相位奇异点作为深度分割标记的重要性而被充分利用，以提取用于深度确定的分割线。同时，引入了一种改进的傅里叶变换算法（MFTA）来计算包裹的相位序列，该序列使用两组正交的相移条纹图案和一个DC分量图案（总共五个）。利用FCDS方法可以提取沿正交方向的分割线，而无需改变条纹序列，不仅解决了相位不敏感的问题，而且降低了计算成本。此外，利用深度分割线的优化算法解决了分割错误的问题，并成功地将深度突变较大的物体进行了分割。仿真结果证明了该方法的有效性和准确性。