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The synthesis of spherical computer-generated holograms is investigated. To deal with the staggering calculation times required to synthesize the hologram, a fast calculation method for approximating the hologram distribution is proposed. In this method, the diffraction integral is approximated as a convolution integral, allowing computation using the fast-Fourier-transform algorithm. The principles of the fast calculation method, the error in the approximation, and results from simulations are presented.

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Focus analysis techniques from computer vision are applied to digital holography to determine the depth (range) of multiple objects and their surfaces from a single hologram capture. With this method the depths of objects can be determined from a single hologram capture without the need for manual focusing, and without prior information on object location. Variance and Laplacian of Gaussian are analyzed as focus measures, and techniques are proposed for focus plane determination from the focus measure curves.The algorithm is described in detail and demonstrated through simulation and optical experiment.2008 Optical Society of America 1 OCIS codes: (090.0090) Holography; (100.0100) Image processing; (110.0110) Imaging systems; (120.0120) Instrumentation, measurement and metrology; (150.0150) Machine vision.