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; 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; a correction optical system provided separately from the wavefront compensating device to correct at least one of a defocus component and an astigmatic component among the wavefront aberrations; and a wavefront measuring device that measures the wavefront aberrations of the examinee's eye, wherein the controller controls the wavefront compensating device and the correction optical system based on the wavefront aberrations of the examinee's eye measured by the wavefront measuring device to correct the wavefront aberrations of the examinee's eye, in the reference data registration step, the controller includes information on the amount of aberration correction by the correction optical system of when the first captured image was acquired, in the photographing condition data acquired and stored as the reference data, and in the photographing condition reproduction step, the controller controls the drive of the correction optical system so as to reproduce the aberration correction of the correction optical system of when the first captured image was acquired.