1. An image processing device, comprising: an image capture element that outputs long exposure time pixel information and short exposure time pixel information based on image capture processing under a control that provides different exposure times for individual pixels; and an image correction portion that inputs the pixel information that the image capture element has output and generates a corrected image by performing image stabilization and dynamic range expansion processing, wherein the image correction portion generates a long exposure time image in which the pixel values have been set on the assumption that all of the pixels have been exposed for a long time and a short exposure time image in which the pixel values have been set on the assumption that all of the pixels have been exposed for a short time, computes a point spread function (a PSF) that corresponds to the long exposure time image as a long exposure time image PSF, and generates the corrected image by using the short exposure time image, the long exposure time image, and the long exposure time image PSF.