Papers › Robust affine point matching via quadratic assignment on Grassmannians

Robust affine point matching via quadratic assignment on Grassmannians

5 Mar 2023arXiv:2303.02698archive 2025-07-28

Alexander Kolpakov, Michael Werman

Robust Affine Matching with Grassmannians (RoAM) is a new algorithm to perform affine registration of point clouds. The algorithm is based on minimizing the Frobenius distance between two elements of the Grassmannian. For this purpose, an indefinite relaxation of the Quadratic Assignment Problem (QAP) is used, and several approaches to affine feature matching are studied and compared. Experiments demonstrate that RoAM is more robust to noise and point discrepancy than previous methods.

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sashakolpakov/granni officialmentioned in paper report
sashakolpakov/rag officialmentioned in paper report
sashakolpakov/roam officialmentioned in paper report

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AdamAttentionAttention DropoutBARTBERTBPEDense ConnectionsDropoutLayer NormalizationLinear LayerLinear Warmup With Linear DecayMulti-Head AttentionRAGResidual ConnectionSoftmaxWeight DecayWordPiece

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