Spherical Harmonics for Surface Parametrisation and Remeshing

Table 2

Mean (msd) residuals for different orders of spherical harmonics parametrisation of two meshes, solved using increasing degrees of Tikhonov regularisation.

Mesh
Mannequin	10	3.526	3.526	3.526	3.528	3.531	3.534	3.544
	20	2.375	2.374	2.376	2.404	2.439	2.465	2.601
	40	1.528	1.592	1.701	1.919	2.058	2.132	2.392
	60	1.296	1.431	1.596	1.864	2.021	2.100	2.373
	80	1.228	1.388	1.571	1.852	2.012	2.093	2.368
	100	1.199	1.369	1.560	1.846	2.008	2.090	2.367
Obrubovka	10	2.742	2.742	2.742	2.741	2.742	2.743	2.754
	20	1.283	1.284	1.291	1.337	1.389	1.425	1.608
	40	0.556	0.606	0.705	0.912	1.060	1.141	1.433
	60	0.427	0.518	0.645	0.882	1.040	1.125	1.422
	80	0.391	0.494	0.631	0.875	1.035	1.120	1.420
	100	0.379	0.486	0.626	0.873	1.033	1.119	1.419