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 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, and wherein the image correction portion generates, based on the short exposure time image, a first estimated image for which it is assumed that exposure was performed for a long time, computes a first correction amount that makes a difference between the first estimated image and the long exposure time image smaller, and generates the corrected image by performing processing that adds the computed first correction amount to an initial image that has been generated based on the short exposure time image.