A method and apparatus for rendering a plurality of objects. The method includes receiving ray differential information associated with a ray, determining a first resolution associated with a first surface patch based on at least information associated with the ray and the first surface patch, processing information associated with the first resolution and a database, and determining whether a first geometry representation associated with the first surface patch tessellated at the first resolution is present in the database. The database is associated with a plurality of predetermined resolutions, and the first resolution is equal to one of the plurality of predetermined resolutions. At least one of the plurality of predetermined resolutions includes a first tessellation rate associated with a first dimension and a second tessellation rate associated with a second dimension. The first tessellation rate is different from the second tessellation rate.