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Deconvolution serves as a computational means of removing the effect ofoptical aberrations from recorded images and is employed in many technical andscientific fields of study. In most imaging scenarios the nature of theblurring kernel or point-spread function (PSF) of the imaging system is unknownand both the object and PSF can be estimated using different forms ofmathematical optimisation. The Tangential Iterative Projections (TIP) algorithmis a multi-frame deconvolution framework where multiple images can be combinedto obtain a single estimate of the object. It is shown here that this frameworkmay be also used for single-frame deconvolution with a few modifications to thealgorithm. This step from multiple to one frame is non-trivial and greatlyimproves the applicability of the TIP framework to most imaging scenarios.

Blind single-frame deconvolution by tangential iterative projections (TIP)