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We propose the use of a pinhole-camera approach to make holograms. On recording the object beam passes through a pinhole, forming an image plane hologram, but on reconstruction the pinhole can be taken away. The reconstructed image can be programmed and processed by using optical information-processing elements placed in the position of the reconstructed pinhole or pinholes. Pinhole holography can also suppress intermodulation effects. We present brief theoretical considerations and experimental results for pinhole holograms produced for programmable holographic optical interconnects.