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Analytic Marching: An Analytic Meshing Solution from Deep Implicit Surface Networks

ICML 2020 · 3D vision › Face and shape · approach: Learned mesh and geometric representations · 13 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace discretized marching cubes with analytic marchingD6-W60 SDF mesh extraction · Five ShapeNetCoreV1 categories, meanCD (×10^-1): 5.5730 -> 5.5049Helped
Replace discretized marching cubes with analytic marchingD6-W60 SDF mesh extraction · Five ShapeNetCoreV1 categories, meanTime (sec.): 2.41 -> 20.8Hurt
Increase SDF network capacity from 360 to 900 neurons (ablation)Analytic Marching on Rifle · RifleCD (×10^-1): 5.29 -> 3.64Helped
Increase SDF network capacity from 360 to 900 neurons (ablation)Analytic Marching on Rifle · RifleTime (sec.): 15.0 -> 173Hurt
At 360 neurons, use D6-W60 instead of D4-W90 (ablation)Analytic Marching on Rifle · RifleCD (×10^-1): 6.16 -> 5.29Helped
At 360 neurons, use D6-W60 instead of D8-W45 (ablation)Analytic Marching on Rifle · RifleCD (×10^-1): 5.67 -> 5.29Helped
At 360 neurons, use D8-W45 instead of D6-W60 (ablation)Analytic Marching on Rifle · RifleTime (sec.): 15.0 -> 9.75Helped
At 900 neurons, use D10-W90 instead of D15-W60 (ablation)Analytic Marching on Rifle · RifleCD (×10^-1): 3.85 -> 3.64Helped
At 900 neurons, use D10-W90 instead of D20-W45 (ablation)Analytic Marching on Rifle · RifleCD (×10^-1): 4.21 -> 3.64Helped
At 900 neurons, use D20-W45 instead of D10-W90 (ablation)Analytic Marching on Rifle · RifleTime (sec.): 173 -> 47.3Helped

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