1. A method of determining eye position information, the method comprising: identifying an eye area in a facial image; verifying a two-dimensional (2D) feature in the eye area; and performing a determination operation including, determining a three-dimensional (3D) target model based on the 2D feature; and determining 3D position information of an eye corresponding to the eye area, based on the 3D target model, wherein the verifying includes, determining a supervised descent method (SDM) model based on a local binary pattern (LBP), and verifying the 2D feature in the eye area based on the SDM model, and wherein verifying the 2D feature in the eye area based on the SDM model includes, acquiring a sample area by measuring an eye area in a sample image, and performing a repetitive training on the SDM model based on a sample feature measured in the sample area.