Methods of three-dimensional deconvolution with a point-spread function asfrequently employed in optical microscopy to reconstruct true three-dimensionaldistribution of objects are extended to holographic reconstructions. Two suchschemes have been developed and are discussed: an instant deconvolution usingthe Wiener filter as well as an iterative deconvolution routine. The instant3d-deconvolution can be applied to restore the positions of volume-spreadobjects such as small particles. The iterative deconvolution can be applied torestore the distribution of complex and extended objects. Simulated andexperimental examples are presented and demonstrate artifact and noise freethree-dimensional reconstructions from a single two-dimensional holographicrecord. Keywords: digital holography, volumetric deconvolution,three-dimensional volumetric deconvolution, particle tracking, holographicparticle tracking, resolution, PSF
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