A technique to reconstruct images from acoustical holograms by computer is proposed and theoretical and experimental discussions on this technique are conducted. The criteria on the sampling number and the aperture applicable for the shifted image are analyzed. The periodic image due to the fast Fourier transform algorithm is also discussed.
Acoustical holograms are constructed with 15 kHz sound-wave using electronic references. The holograms printed in photographs are sampled and quantized for computer reconstruction. Images are reconstructed by calculating the discrete Fresnel transform of the quantized holograms. Image shift and periodic images are discussed by experimental results. The reconstructed images are observed by changing the sampling number of the hologram.