In the three-dimensional (3D) contour measurement, the phase shift profilometry (PSP) method is the most widely used one. However, the measurement speed of PSP is very low because of the multiple projections. In order to improve the measurement speed, color grating stripes are used for measurement in this paper. During the measurement, only one color sinusoidal fringe is projected on the measured object. Therefore, the measurement speed is greatly improved. Since there is coupling or interference phenomenon between the adjacent color grating stripes, a color correction method is used to improve the measurement results. A method for correcting nonlinear error of measurement system is proposed in this paper, and the sinusoidal property of acquired image after correction is better than that before correction. Experimental results show that with these correction methods, the measurement errors can be reduced. Therefore, it can support a good foundation for the high-precision 3D reconstruction.The measurement method of structured light projection is widely used in three-dimensional (3D) contour measurement [1][2][3] . The non-contact 3D measurement is widely used in product testing and quality control, virtual reality, heritage preservation, anthropometry and medical engineering. The phase measuring profilometry has high accuracy due to the multiple projections and phase-shift technology, but its measurement speed is low [4] . In order to enhance the speed of 3D contour measurement, the recent studies have focused on the measurement using color images. Compared with the gray phase shift method, the color phase shift method greatly improves the speed of measurement. Da [5] proposed a fringe projection profilometry method based on complementary color-encoded fringe patterns. Han [6] proposed a color structured light technology for 3D shape measurement based on gray code method. Chen [7] proposed a color-coding and phase-shift method for absolute phase measurement. With these methods, the speed of 3D measurement is improved. However, in the actual 3D contour measurement, the adjacent grating strips present coupling or interference phenomenon [8] . It will lead to that the average intensity values of the brightness of the three channels are inconsistent, and the phase can not be accurately extracted. Based on our works [9][10][11] , color grating stripes are used for 3D contour measurement in this paper. The proposed method only needs to project one piece of color sinusoidal fringe in measurement process. For the coupling or interference phenomenon, a color correction is used in this paper to improve the measurement results. In addition, a method is used to correct the nonlinear error. The experimental results show that the proposed method can make the acquired image have a good sinusoidal distribution.In order to solve 3D coordinate information of the measured object, during the phase-shift grating projection and acquisition, the measured object can not move, and the information of the background light and the surroundin...
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