Profile measurement of objects by using integral transforms

In this thesis, 3D profile measurements of objects are tested with integral transforms by using a standard fringe projection technique consisting of a CCD camera and a digital projector. The surface profile of a rough object is studied experimentally with crossed optical axes geometry. A two dimensional fringe pattern by introducing the carrier frequencies in two spatial directions, x and y, is analyzed with Fourier transform, S-transform and continuous wavelet transform (CWT) based on Morlet, Paul and DOG wavelet algorithms. Phase gradient and phase methods are presented for CWT and S-transform of the fringe pattern. At the end, results of simulation and experimental application of these techniques are compared and other possible application areas discussed.