The fringe -reflection technology has been widely applied in the fields of industrial inspection and measurements. In the present study, three-step phase-shifting is developed using the color fringe-reflection approach to inspect a work-piece surface with rotational symmetry characteristics, and an improved experiment is proposed. In addition, by combining Robert gradient with fringe modulation, a new quality weight, referred to as ‘Modulation-Robert gradient variance’ (MRGV), is proposed for quality-guiding the phase-unwrapping (PU) algorithm. In comparison to the traditional quality weights, MRGV presented higher noise immunity and lower PU error in the root mean square (RMS). In addition, in terms of defect detection, MRGV performed better than the other weights. Finally, after MRGV-guided PU conduction, the proposed experiment method is used in combination with an improved Southwell integration algorithm to realize the 3D reconstruction. The reconstruction error is approximately 3.09% lower than that presented by certain other methods. Furthermore, the results indicated that the combination of the proposed method and the new quality weight could effectively detect the defects and offer an accurate measurement of a rotationally symmetrical surface to a certain extent.

条纹反射技术已广泛应用于工业检查和测量领域。在本研究中，采用彩色条纹反射方法开发了一种三步相移技术，以检查具有旋转对称特性的工件表面，并提出了一种改进的实验。此外，通过将罗伯特梯度与条纹调制相结合，提出了一种新的质量权重，称为“调制-罗伯特梯度方差”（MRGV），用于质量指导相位展开（PU）算法。与传统质量权重相比，MRGV在均方根（RMS）方面具有更高的抗噪能力和更低的PU误差。此外，就缺陷检测而言，MRGV的性能优于其他权重。最后，在MRGV引导的PU传导之后，提出的实验方法与改进的Southwell集成算法结合使用，实现了3D重建。重建误差比某些其他方法呈现的误差低约3.09％。此外，结果表明，所提出的方法和新的质量权重的组合可以有效地检测缺陷，并在一定程度上提供旋转对称表面的精确测量。