The present disclosure provides systems and methods for determining an ophthalmic lens. In one implementation, three-dimensional coordinates of a center of rotation of the wearer's eye measured on the wearer in binocular vision are received. At least one direction of gaze measured in a natural posture and a determined position of the ophthalmic lens are received. Characteristics of the ophthalmic lens are calculated by using the coordinates measured for the center of rotation of the eye, the determined position of the lens, and the at least one direction of gaze measured in a natural posture. The characteristics of the ophthalmic lens are calculated by positioning a starting ophthalmic lens in the determined position and modifying the starting ophthalmic lens by wavefront analysis and/or optimizing using ray tracing dependent on the coordinates measured for the center of rotation of the eye and the determined position of the lens.