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Correspondence learning via linearly-invariant embedding

NeurIPS 2020 · Point clouds › Point cloud classification · approach: Local feature aggregation networks · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use a learned linearly-invariant embedding and estimate a separate linear transformation instead of enforcing an identity transformation in a universal embeddingCorrespondence between non-isometric FAUST point clouds · FAUST point clouds, clean and noisymean geodesic errorHelped
Use a learned linearly-invariant embedding instead of a universal embeddingCorrespondence between full FAUST shapes and fragmented partial shapes · Fragmented partialityaverage geodesic errorHelped
Use a learned linearly-invariant embedding instead of the LBO basisCorrespondence between full FAUST shapes and fragmented partial shapes · Fragmented partialityaverage geodesic errorHelped
Add an extra linear transformation between shape embeddings rather than require corresponding points to be nearest neighbors directly (ablation)Learned shape embedding · Non-rigid shape correspondencecorrespondence accuracyHelped
Use a universal embedding with identity transformation (ablation)Correspondence between full FAUST shapes and fragmented partial shapes · Fragmented partialityaverage geodesic errorHurt

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