One or more geometric markers may be created on an eye preoperatively. Two or more fiducials coupled to or formed within a patient interface may be lined up with the geometric markers. An imaging device coupled to the patient interface and having a field of view oriented through the patient interface and toward the eye of the patient may be utilized to capture one or more images that contain not only image aspects pertinent to the positions of anatomical portions of the eye, but also image aspects pertinent to the locations of fiducials coupled to or formed within portions of the patient interface. The images may be analyzed to determine a geometric relationship between the anatomy of the eye and the associated system hardware.