Recording and optical processing of images of projected fringes in the study of objects with a periodic surface texture

Specific features of application of the fringe projection method to the study of objects with a periodic surface texture are analyzed. It is shown that a moire pattern is formed in the image recording process. It is caused by the superposition of two periodic structures, namely, the image of the texture of the surface under study and the system of projected fringes. The bending of moire fringes in the pattern is determined by the summary effect of two functions, which describe the bending of the images of surface texture and the system of projected fringes, because of the deviation of the relief shape from the comparison plane. A method for the optical processing of a photographic image by two coherent light beams is described, which makes possible a separate interferometric visualization of the aforementioned functions. Results of experimental studies are presented.