Shape measurement by projected fringes  

Phase-shifted projected fringes

Unwrapped object phase

Measured shape



        Shape measurement of an object can be very useful in reverse engineering, medicine, arts, and different other activities. A basic technique consists of projecting two series of phase-shifted interference fringes on a reference surface (not necessarely plane) and on the object to be measured.

       The modulo2p phase difference  can then be directly extracted, or the modulo2p phase may be extracted for each series by using the relation , as in the next images.

  

The use of  the "UNWRAP" program allows then for extracting the unwrapped phase by a noise-robust algorithm. The unwrapped phase represents the object's shape, measured with respect to the reference surface.   


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