Two-dimensional Fourier transform profilometry for the automatic measurement of three-dimensional object shapes

Two-dimensional Fourier transform profilometry (2-D FTP) for the automatic measurement of three-dimensional (3-D) object shapes is presented and verified by the experiment in this paper. In some applications, in which there are specklelike structures and discontinuity in the observed fringe pattern, 2-D FTP provides a better separation of the height information from noise.