Comparison : Statistics

GENERAL info

ASPECT RATIO

AREA

EDGE

regularity

One Way L2 stretch efficency

Competitors

• Globally Smooth = Globally smooth Parameterizations with Low Distortion [Andrei Khodakovsky et al.]
• Intersurface Mapping = Inter-Surface Mapping [John Schreiner et al.]
• Isotropic Remeshing = Isotropic Surface Remeshing [Pierre Alliez et al.]
• Explicit Surface Remeshing = Explicit Surface Remeshing [Vitaly Surazhsky et al.]
• Our = Our Method

Stanford Bunny

Globally Smooth	Intersurface Mapping	Our Method

	Globally Smooth	Intersurface Mapping	Our
#vertex resampled	9334	9602	10439
#vertex BASE domain	150	152	74
AVG Aspect ratio	0.978	0.955	0.924
Standard Deviation Aspect Ratio	0.06	0.05	0.08
Minimum Aspect Ratio	0.02	0.29	0.29
Min Angle in gradi	4.53	16.46	15
Average Min Angle in gradi	54.28	50.21	45.25
Standard Deviation Angle in gradi	5.5	6.08	6.82
Area Standard Deviation % of average	46.89	22.6	11.76
Area Min % of average	7.22	26.54	31.81
Area Max % of average	554.42	204.16	196.65
Edge Standard Deviation % of average	23.24	15.11	14.81
min Edge % of average	23.25	27.89	42.40
max Edge % of average	331.01	178.35	200.83
% irregular vertices	1.03	1.03	0.49
One Way L2 stretch efficency	0.800	0.915	1.043

 David Head

Globally Smooth	Intersurface Mapping	Our Test 0	Our Test 1

                            

	Globally Smooth	Intersurface Mapping	Our
#vertici resampled	5529	5698	5441
#vertici BASE domain	90	91	39
AVG Aspect ratio	0.96	0.94	0.91
Standard Deviation Aspect Ratio	0.05	0.07	0.08
Minimum Aspect Ratio	0.22	0.035	0.22
Min Angle in gradi	7.66	4.29	10.8
Average Min Angle in gradi	52.36	49.69	45.77
Standard Deviation Angle in gradi	5.73	6.37	6.92
Area Standard Deviation % of average	51.77	25.34	14.2
Area Min % of average	7.93	5.19	24.1
Area Max % of average	596.89	265.88	181.1
Edge Standard Deviation % of average	26.63	16.31	14.9
min Edge % of average	20.58	21.21	24.03
max Edge % of average	332.61	229.10	182.9
% irregular vertices	0.71	0.71	0.34
One Way L2 stretch efficency	0.761	0.902	1.06

David Head Higher res

Isotropic Remeshing	Our Test 0	Our Test 1

                            

	Isotropic Remeshing	Noi
#vertici resampled	10783	11102
#vertici BASE domain	-	39
AVG Aspect ratio	0.94	0.90
Standard Deviation Aspect Ratio	0.08	0.08
Minimum Aspect Ratio	0.022	0.13
Min Angle in gradi	4.34	12
Average Min Angle in gradi	49.88	45.55
Standard Deviation Angle in gradi	7.05	6.96
Area Standard Deviation % of average	18.83	13.11
Area Minima % of average	10.51	20.8
Area Max % of average	300.94	194.71
Edge Standard Deviation % of average	15.08	15.9
min Edge % of average	26.59	34.92
max Edge % of average	305.85	210.46
% irregular vertices	35.8	0.17
average tangent deviation (degree)	18.66	9.52
worst tangent deviation (degree)	122.96	101.95
One Way L2 stretch efficency	-	1.06

Horse

Globally Smooth	Intersurface Mapping	Our

	Globally Smooth	Intersurface Mapping	Our
#vertici resampled	8834	8834	6339
#vertici BASE domain	140	140	134
AVG Aspect ratio	0.94	0.911	0.89
Standard Deviation Aspect Ratio	0.089	0.114	0.14
Minimum Aspect Ratio	0.18	0.12	0.17
Min Angle in gradi	12.48	8.22	10.98
Average Min Angle in gradi	50.20	47.16	45.18
Standard Deviation Angle in gradi	7.55	8.51	10.00
Area Standard Deviation % of average	60.17	44.87	13.87
Area Minima % of average	1.79	13.77	40.52
Area Max % of average	642.711	268.41	215.32
Edge Standard Deviation % of average	33.90	25.45	18.78
min Edge % of average	13.32	29.43	40.55
max Edge % of average	439.56	216.323	197.92
% irregular vertices	0.86	0.86	1.27
One Way L2 stretch efficency			1.066

IGEA

Globally Smooth	Explicit Surface remeshing	Our

   

	Globally Smooth	Explicit Surface Remeshing	Our
#vertici resampled	9730	9240	8672
#vertici BASE domain	15		12
AVG Aspect ratio	0.9963	0.9775	0.93
Standard Deviation Aspect Ratio	0.01	0.0235	0.054
Minimum Aspect Ratio	0.54	0.46	0.51
Min Angle in gradi	20.31	25.8	25.22
Average Min Angle in gradi	57.47	53.3	47.99
Standard Deviation Angle in gradi	2.12	3.4	5.68
Area Standard Deviation % of average	39.16	34.67	7.57
Area Minima % of average	4.02	31.45	47.66
Area Max % of average	355.19	279.04	142.83
Edge Standard Deviation % of average	20.27	18.52	13.01
min Edge % of average	19.07	47.27	58.14
max Edge % of average	211.79	190.75	145.30
% irregular vertices	0.22	4.4	0.08
average tangent deviation (degree)	3.03	7.07	4.27
worst tangent deviation (degree)	69.28	48.46	61.93
One Way L2 stretch efficency			1.03

L2 stretch efficiency comparison

	Our	Globally  Smooth	Intersurface Mapping	Intersurface Mapping (Octahedral domain)	Linear Angle Based Parameterization	Feature-Based Surface Parameterization and Texture Mapping	spectral surface quadrangulation
Bunny	1.043	0.80	0.915	0.717		1.13 / 1.02	0.968
Horse	1.066			0.398	1.11	1.09 / 1.03
Venus	1.03			0.947		1.12 / 1.02
David Head	1.06	0.761	0.902
Armadillo	1.12			0.528
Moai	1.03
Omorondo	1.03
Gargoyle	1.07
Fertility	1.06
Rampant	1.17