A method, system, and computer-readable storage medium are disclosed for rendering a path with classification of triangles as external and internal. In one embodiment, a tessellation based on the path may be generated, wherein the tessellation comprises a plurality of triangles. A first subset of the plurality of triangles may be determined to comprise one or more exterior triangles, wherein each of the one or more exterior triangles contains a respective curve. For each triangle of the one or more exterior triangles, a side of the curve to be rendered may be determined. A second subset of the plurality of triangles may be determined to comprise one or more interior triangles. The exterior triangles and the interior triangles may be rendered using a graphics processing unit, wherein each of the exterior triangles is rendered based on the respective side of the curve determined to be rendered.