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NeuroGF: A Neural Representation for Fast Geodesic Distance and Path Queries

NeurIPS 2023 · Point clouds › Shape and surface completion · approach: Distance-function surface reconstruction · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use NeuroGF instead of the heat method for SSAD on anisotropic dragon and bucket meshesSSAD geodesic queries · dragon and bucketmean relative error (%): 10.6 -> 0.68; 3.35 -> 0.18Helped
Use NeuroGF rather than fDGG for SSAD query timeSSAD geodesic queries · tested meshesquery time (ms): fDGG 4–145; NeuroGF 0.4–0.7Helped
Add signed-distance-field supervision branch (ablation)NeuroGF distance representation · all testing shapesmean relative error (%): 0.57 -> 0.49Helped
Add signed-distance-field supervision branch (ablation)NeuroGF path representation · all testing shapesChamfer-L1 (×10^-2): 1.31 -> 1.25Helped
Add curve-length consistency loss (ablation)NeuroGF distance representation · all testing shapesmean relative error (%): 0.52 -> 0.49Helped
Add curve-length consistency loss (ablation)NeuroGF path representation · all testing shapesChamfer-L1 (×10^-2): 1.35 -> 1.25Helped
Add curve-point distribution constraint (ablation)NeuroGF path representation · all testing shapesChamfer-L1 (×10^-2): 1.38 -> 1.25Helped
Increase the number of shape encoder cues by using GraphConv rather than PointTrGeneralizable NeuroGF · SN-8x50 and SN-5x50MRE (%): 3.28 -> 2.94; 4.16 -> 3.55Helped
Increase ground-truth training source count on dragon (ablation)NeuroGF offline training · dragonMRE (%): 64: 1.63; 1024: 0.68; 10000: 0.66Helped
Train with only 8K rather than original ground-truth pairs (ablation)NeuroGF training data · unspecified testing setMRE (%): 0.53 -> 4.05Hurt
Train with only 2K rather than original ground-truth pairs (ablation)NeuroGF training data · unspecified testing setMRE (%): 0.53 -> 5.62Hurt

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