1. A wrinkle detection apparatus comprising: a first threshold processing unit that detects a first edge area included in an image by performing first threshold processing for comparing a gradient value that indicates a degree of change in pixel values in the image including skin with a first threshold; a second threshold processing unit that detects a second edge area included in the image by performing second threshold processing for comparing the gradient value with a second threshold; and an edge selection processing unit that determines a wrinkle area based on an overlapping area in which the first edge area and the second edge area are overlapped.