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Deep Functional Dictionaries: Learning Consistent Semantic Structures on 3D Models from Functions

NeurIPS 2018 · Point clouds › Shape and surface completion · approach: Unsupervised shape correspondence · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use correspondence-free functional dictionaries instead of label-supervised PointNet segmentationShapeNet part segmentation · ShapeNet part segmentationmean IoU: 82.4 -> 84.6Helped
Use functional dictionaries for instance proposals rather than SGPNS3DIS instance segmentation · S3DIS, IoU threshold 0.5proposal recall: 64.7 -> 69.1Helped
Add the l2,1 regularizer (ablation)ShapeNet functional dictionary · ShapeNet partsmean IoU: 75.0 -> 84.6Helped
Increase dictionary size without the l2,1 regularizer (ablation)ShapeNet functional dictionary · ShapeNet partsmean IoU: 75.0; 71.2; 65.3Hurt
Omit up to fraction 0.75 of segments from training inputs (ablation)ShapeNet functional dictionary · ShapeNet parts, partial segmentationsmean IoU: 84.6; 86.1; 86.0; 84.5No clear effect
Add input-function bit-switching noise up to probability 0.20 (ablation)ShapeNet functional dictionary · ShapeNet parts, noisy input functionsmean IoU: 84.6; 85.8; 85.9; 85.1No clear effect
Add Siamese supervision using corresponding functions and shared coefficients (ablation)ShapeNet functional dictionary · ShapeNet part labels matched to atoms per categorymean IoU: 77.3 -> 80.3Helped
Add Siamese supervision using corresponding functions and shared coefficients (ablation)ShapeNet functional dictionary · ShapeNet part labels matched to atoms per objectmean IoU: 84.6 -> 85.6Helped

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