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A method of deblurring a two-dimensional, blurred image. An edge within the blurred image is detected, and an edge profile of the blurred image is extracted. A length of the edge profile is determined, and a blur kernel size is estimated based thereon. A quantile function is applied to the edge profile, thereby generating quantile function output. A linearity test is performed on the quantile function output, thereby obtaining a preliminary linearity metric. Another quantile function is selected and the applying a quantile function to the edge profile, thereby generating quantile function output, and the performing a linearity test on the quantile function output, thereby obtaining a preliminary linearity metric, is iteratively repeated until a best linearity metric, a best quantile function, and a best quantile function output are determined. A slope of the best quantile function output is determined, and a blurring parameter is determined based thereon. A blur kernel is estimated based on the blurring parameter and the blur kernel size. A sharp image is resolved using the blur kernel.