Abstract
Fast decimation-in-frequency direct binary search (DBS) algorithms for the computation of binary computer-generated holograms (CGH's) are developed. The algorithms use the geometry of the image plane and the decimation-in-frequency property to design a fast method of scanning the hologram with the DBS method. In this way the computational complexity of the method is substantially reduced. For complex-amplitude-based error, the asymptotic computational complexity for an L-point CGH is reduced by a factor of O[(L/log2 L)½