1. A fundus photographing apparatus with wavefront compensation, comprising: a fundus imaging optical system that receives a reflected light from fundus of an examinee's eye with a light receiving device to acquire a cell image of the fundus; a wavefront compensating device placed in an optical path of the fundus imaging optical system to compensate for wavefront aberrations of the examinee's eye by controlling a wavefront of the reflected light; and a controller that executes a photographing step that acquires a first captured image being a captured image of the cell image based on a signal from the light receiving device in a state where the wavefront aberrations are compensated for, a reference data registration step that acquires photographing condition data on the first captured image as reference data for follow-up image capture and storing the photographing condition data in a storage unit, and a photographing condition reproduction step that selects, based on an operation input from an examiner, reference data for the follow-up image capture from one or more pieces of the reference data stored in advance in the storage unit in the reference data registration step, and reproducing a photographing condition in accordance with the selected reference data to newly acquire the cell image.