Pose Space Surface Manipulation

Table 1

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

	Mesh size	No. Ex.	Interp. Rot Inv	Rotation optimization			Vertex optimization			Matrix ortho.	Coarse-to-Dense
				Const.	Factor	Solve	Const.	Factor	Solve
w/o multires.	17k	10	0.12	0.21	0.25	0.027	[0.78]	[0.023]	0.003	0.50	—
With multires.	1k	10	0.01	0.01	0.01	0.001	[0.06]	[0.002]	0.001	0.03	0.008 (17k), 0.075 (140k)

From left to right: Mesh size, number of examples, interpolation of rotation-invariant encodings, rotation optimization (construction and factorization of 𝐇^𝑇𝐇, and back substitution), vertex optimization (construction and factorization of 𝐋, 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.