An exemplary virtual reality provider system accesses surface data representative of a virtual three-dimensional (“3D”) space of a virtual scene. Based on the accessed surface data, the system orthographically projects a respective plurality of adjacent surface data slices of the virtual 3D space along each of three orthogonal axes in a coordinate system associated with the virtual 3D space. The system generates virtual reality data that represents the virtual 3D space and accounts for level of detail of the surfaces included within the virtual 3D space with respect to a particular vantage point. The system provides this virtual reality data to a media player device associated with the particular vantage point for processing by the media player device to present, to a user, virtual reality content that is based on the virtual 3D space and is tailored to the particular vantage point.