Three-dimensional (3D) scanning based on optical principle is a technology of scanning the object's spatial shape by optical system, which can acquire 3D information of the objects. The technology has the advantages of non-contact, high precision and high resolution. To our knowledge, the structured-light 3D scanning accuracy is up to 0.01 mm, and the point cloud contains millions of points with the working distance less than 1 m. Texture reconstruction can further present the color, material and other information of the scanned objects, and improve the verisimilitude of reconstructed objects. Due to the influence of camera error and illumination environment, it is easy to produce seam, blurring and ghosting in texture images after texture mapping. By introducing the camera model, we derive the relationship between 3D space point and two-dimensional (2D) image, and then analyze the causes of texture artifacts. The methods of eliminating residual artifacts in texture construction are reviewed, and their advantages and limits are summarized. At last, in view of the shortcomings of texture reconstruction, the development trend of the texture reconstruction method for colored 3D model is prospected.