This invention proposes a low-
noise holographic 3D display method based on a
fractional Fourier transform algorithm. The method includes the following steps: First, setting the
signal and
noise intervals of the recorded object to obtain a preprocessed image RD(X,Y); Second, superimposing the image RD(X,Y) with a
quadratic phase generator to produce a corresponding
complex amplitude distribution D0(X,Y) on the object plane; then, performing a
fractional Fourier transform based on the
complex amplitude distribution D0(X,Y) on the object plane to obtain a
complex amplitude distribution D1(X,Y) on the holographic plane; extracting the phase information of D1(X,Y) and... The complex
amplitude distribution D2(X,Y) of the object plane is obtained through fractional-order inverse
Fourier transform. A double constraint of amplitude and second-order phase is applied to the
signal interval of D2(X,Y) to obtain the complex
amplitude distribution D3(X,Y) of the object plane, completing the first iteration. The complex
amplitude distribution D3(X,Y) is then used to replace D0(X,Y) to start the next loop, continuing until the phase converges to the optimal solution. In the third step, the phase distribution of the optimal solution is extracted to generate a pure phase hologram. By superimposing pure phase holograms of different depths, the final pure phase hologram of the 3D object is obtained. Low-
noise holographic 3D display is achieved by illuminating the pure phase hologram of the 3D object with coherent light.