The invention relates to a digital Moire phase shift interference phase real-time measurement technology based on sparse Fourier transform, and belongs to the optical measurement field. Firstly, a virtual interference pattern is constructed, and Moire synthesis is performed. On the basis of one-dimensional sparse Fourier transform (SFFT), a two-dimensional Moire fringe pattern rearrangement rule is designed, and a small number of frequency spectrum amplitude large-value points in a frequency spectrum are sparsely dispersed in the frequency spectrum through spatial domain rearrangement. Secondly, a two-dimensional SFFT window function is set, spatial domain aliasing and down-sampling FFT of two-dimensional signals are performed, an original image with a size of N*N is reduced to the size ofB*B, and a subsequent calculation amount is reduced. And frequency spectrum reduction with the N*N size is completed through position coordinate reduction and estimated value reduction. And finally,a restored frequency spectrum is applied to a phase solution process of a digital Moire phase shift method. In the invention, a calculation amount of the phase solution process can be reduced, an algorithm speed of the digital Moire phase shift phase solution method is improved, and real-time measurement of a phase in fields of precision processing, engineering practice and biomedicine can be realized.
Digital Moire interference phase real-time measurement method based on sparse Fourier transform