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DenseMatcher: Learning 3D Semantic Correspondence for Category-Level Manipulation from a Single Demo

ICLR 2025 · 3D vision › 3D generation · approach: Semantic scene completion · 0 citations (OpenAlex)

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Proposes DenseMatcher, which lifts multiview SD-DINO features onto meshes, refines them with a trainable DiffusionNet, and solves an improved functional map for 3D semantic correspondence, plus a new textured 3D matching dataset (DenseCorr3D) and one-demo robot manipulation.

Problem

Dense 3D semantic correspondence between textured, in-the-wild objects across categories, which prior shape-matching methods (geometry-only, category-specific, untextured) handle poorly; this limits one-demo robotic manipulation transfer.

Approach

Combine multiview 2D foundation-model features (SD-DINO, FeatUp) projected onto mesh vertices with a lightweight DiffusionNet refiner trained using a semantic-geodesic-distance loss, then compute correspondences via functional map with added entropy-sparsity and soft-assignment constraints.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use DenseMatcher instead of URSSM (DenseCorr3D)3D dense matching · DenseCorr3D AllAUC: 0.589 -> 0.845Helped
Use DenseMatcher instead of URSSM (DenseCorr3D)3D dense matching · DenseCorr3D Held-outErr: 6.87 -> 2.82Helped
Add the DiffusionNet refiner (ablation)DenseMatcher · DenseCorr3D AllAUC: 0.672 -> 0.845Helped
Add the feature preservation loss (ablation)DenseMatcher · DenseCorr3D AllAUC: 0.568 -> 0.845Helped
Add FeatUp feature upsampling (ablation)DenseMatcher · DenseCorr3D AllAUC: 0.741 -> 0.845Helped
Add entropy and sum-to-1 functional-map constraints (ablation)DenseMatcher · DenseCorr3D AllAUC: 0.824 -> 0.845Helped
Use DenseMatcher instead of Robo-ABC with New Memoryreal-world robot manipulation · Overall across six taskssuccess rate: 50% -> 76.7%Helped

Surprising findings

Limitations

Experimental setup

Datasets: DenseCorr3D Objaverse-XL OmniObject3D FAUST ImageNet

Benchmarks: DenseCorr3D

Metrics: AUC Normalized geodesic error (Err) task success rate

Baselines: ConsistFMap URSSM Diff3F Robo-ABC

Builds on: functional map DiffusionNet SD-DINO FeatUp Diff3F

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