In some embodiments, the intervals and the triangulation of an inner tessellation of a patch may be pre-computed. Even factor tessellations are arranged in a co-centric manner so that lower number factors are inside tessellations with higher number factors. Similarly, odd factor tessellations are arranged in a co-centric manner so that lower number factors are inside tessellations with higher number factors. Domain points of even factor tessellations are stored in a first table whereas domain points of odd factor tessellations are stored in a second table. At run time, the pre-computed values may be looked up for the applicable edge level of detail.