1. A biometric information correction apparatus comprising: a processor configured to apply a correction process with respect to a first biometric image representing biometric information of a user to create a second biometric image; extract a first feature amount representing features of the biometric information from the first biometric image and a second feature amount representing features of the biometric information from the second biometric image; calculate a quality value of the second biometric image and compare the quality value with a quality threshold value; when the quality value of the second biometric image is greater than or equal to the quality threshold value, output the second feature amount; when the quality value of the second biometric image is less than the quality threshold value, calculate a degree of change representing a difference between the first feature amount and the second feature amount, and compare the degree of change with a degree of change threshold; when the degree of change is greater than or equal to the degree of change threshold, output the first feature amount; and when the degree of change is less than the degree of change threshold, perform additional correction processing on the second biometric image.