1. An image correction system, comprising: a storage device configured to store a plurality of reference patterns corresponding to different color temperatures; and a processor configured to execute operations of: receiving an input image and correspondingly transforming the input image into a plurality of input gamut points; generating an input pattern in accordance with distribution of the input gamut points, the input gamut points being surrounded by the input pattern; comparing the input pattern with the reference patterns to generate a comparison result; and estimating out a color temperature corresponding to the input image in accordance with the comparison result so as to correct the input image.