1. A method of adaptive motion estimation and deblurring of acquired digital images, comprising: acquiring multiple digital images with a moving digital image acquisition device, including a relatively sharp, underexposed reference image and a blurred image; estimating an approximate point spread function (PSF) based on a first DC offset point corresponding to the moving of the device during the acquiring of the multiple digital images; generating a second DC offset point and calculating a second PSF based on the second DC offset point; choosing multiple crops from the blurred image and the reference image or an interpolated version of the reference image, or both, and equalizing a brightness between these crops; computing said second PSF for a pair of horizontal and vertical offsets; deblurring at least one of the digital images using a crop of the blurred image or convoluting with a crop of a relatively underexposed reference image, or a combination thereof.