RECONSTRUCTION OF IMAGES FROM A SERIES OF LOW-RESOLUTION HOLOGRAMS USING A NEW DISCRETIZATION EQUATION
V.I. Guzhov, S.P. Ilinykh, K.V. Zakharov, O.Yu. Mayer
Novosibirsk State Technical University, Novosibirsk, Russia
Keywords: super-resolution, subpixel shift, holography, digital holography, Fourier transform, synthesized aperture, discretization, generalized functions
Abstract
The article considers a new method for reconstructing images from holograms with high spatial resolution, based on hologram shifts by a value smaller than the aperture size. The method is based on the discretization equation obtained using generalized functions. Mathematical modeling of the process of restoring a high-resolution image from low-resolution holograms is carried out. The proposed method can be used to obtain digital holograms using a photodetector array with a low resolution. The method does not require a direct solution of a system of algebraic equations of high dimension.
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