1. An image processing device comprising: an isolated point noise detection section that detects isolated point noise that is included in an image; and an isolated point noise correction section that corrects the isolated point noise detected by the isolated point noise detection section, the isolated point noise detection section including an isolated point noise presence/absence determination section and an attention pixel isolated point noise determination section, the isolated point noise presence/absence determination section determining whether or not the isolated point noise is included within a given area based on a first index value that represents a range of first to nth pixel values, and a second index value that represents a range of a pixel value group, the given area including an attention pixel that is an isolated point noise detection target, the first to nth pixel values being obtained by arranging pixel values of pixels within the given area in ascending or descending order, and the pixel value group being obtained by excluding at least one of the first pixel value and the nth pixel value from the first to nth pixel values, and the attention pixel isolated point noise determination section determining whether or not the attention pixel is a pixel that corresponds to the isolated point noise when it has been determined that the isolated point noise is included within the given area.