Research Article

Subdivision Depth Computation for Tensor Product ๐‘› -Ary Volumetric Models

Table 3

Error bound of tensor product ๐‘› -ary approximating volumetric models: here ๐‘› presents the arity of subdivision volumetric model and ๐‘˜ presents the subdivision level.

๐‘› โงต ๐‘˜ 1 2 3 4 5 6 7

2 0.623965 0.311982 0.155991 0.077996 0.038998 0.019499 0.009749
3 0.327391 0.109130 0.036377 0.012126 0.004042 0.001347 0.000449
4 0.222742 0.055686 0.013921 0.003480 0.000870 0.000218 0.000054
5 0.168908 0.033782 0.006756 0.001351 0.000270 0.000054 0.000011
6 0.136057 0.022676 0.003779 0.000630 0.000105 0.000017 0.000003