Table 1: Timing comparisons of each step with and without the multiresolution method (in seconds).

Mesh sizeNo. Ex.Interp. Rot Inv Rotation optimizationVertex optimizationMatrix ortho.Coarse-to-Dense
Const.FactorSolveConst.FactorSolve

w/o multires. 17k 10 0.12 0.210.250.027[0.78][0.023]0.003 0.50
With multires. 1k 10 0.01 0.01 0.010.001[0.06][0.002]0.001 0.030.008 (17k), 0.075 (140k)

From left to right: Mesh size, number of examples, interpolation of rotation-invariant encodings, rotation optimization (construction and factorization of , and back substitution), vertex optimization (construction and factorization of , and back substitution), matrix ortho-normalization using SVD, conversion of a coarse mesh to a dense mesh. Timings in brackets are done during the preprocessing stage.