Temporal phase unwrapping based on phase-encoding is a technique widely used in 3D measurement for its high-speed advantage. However, eliminating fringe order jump error induced by the system’s luminance nonlinearity is still a key challenge. We propose a fringe order jump error self-correction method to address this issue. First, we encode the shifting phase and stair phase separately and combine them into the same pattern based on four-step phase shifting. This allows us to calculate the fringe order and wrapped phase simultaneously and avoid the overlapping of two set phases. Then, we add auxiliary patterns to obtain information on the order-located period’s odd-evenness characteristic. Theoretically, we demonstrate that under the influence of the nonlinear effect, the order calculation value for a particular period fluctuates between the ideal values of two adjacent orders. Thus, the correct order value can be directly determined by acquiring the period characteristic information, without the need for complex error compensation. Simulations demonstrate that the method performs good robustness where random noise and luminance saturation exist simultaneously in addition to system nonlinearity. Our experiments confirm the effectiveness of this method for high-accurate and fast fringe order determination.

基于相位编码的时间相位展开技术因其高速优势而广泛应用于3D测量中。然而，消除由系统亮度非线性引起的条纹阶跳误差仍然是一个关键挑战。我们提出了一种边缘阶跳错误自校正方法来解决这个问题。首先，我们对移相和阶梯相位分别进行编码，并基于四步相移将它们组合成相同的模式。这使我们能够同时计算条纹阶数和包裹相位，并避免两个设定相位的重叠。然后，我们添加辅助模式来获取有关有序周期奇偶特性的信息。理论上，我们证明在非线性效应的影响下，特定时期的订单计算值在相邻两个订单的理想值之间波动。这样，通过获取周期特征信息就可以直接确定正确的阶值，而不需要复杂的误差补偿。仿真表明，除了系统非线性之外，该方法在随机噪声和亮度饱和同时存在的情况下具有良好的鲁棒性。我们的实验证实了该方法对于高精度和快速条纹阶次确定的有效性。仿真表明，除了系统非线性之外，该方法在随机噪声和亮度饱和同时存在的情况下具有良好的鲁棒性。我们的实验证实了该方法对于高精度和快速条纹阶次确定的有效性。仿真表明，除了系统非线性之外，该方法在随机噪声和亮度饱和同时存在的情况下具有良好的鲁棒性。我们的实验证实了该方法对于高精度和快速条纹阶次确定的有效性。