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Quasi-Newton Solver for Robust Non-Rigid Registration

CVPR 2020 · Learning theory and algorithms › Matrix and tensor methods · approach: High-dimensional estimation theory · 53 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the Welsch function for alignment and regularization instead of squared-error terms (ablation)Robust non-rigid registration · Crane datasetRMSEHelped
Use gradually decreasing ν parameters instead of fixed ν parameters (ablation)Robust non-rigid registration · Handstand, 42-th to 40-th meshRMSEHelped
Reduce the deformation-graph sampling radius (ablation)Robust non-rigid registration · Registration examples in the sampling-radius comparisonRMSEHelped
Use PCA-ordered graph sampling instead of farthest-point sampling (ablation)Robust non-rigid registration · Deformation-graph construction comparisonRMSENo clear effect
Use the proposed method instead of N-ICPMPI Faust · Mean over pose pairsRMSE: 69.7 -> 10.2Helped
Use the proposed method instead of RPTSMPI Faust · Mean over pose pairsRMSE: 12.7 -> 10.2Helped
Use the proposed method instead of N-ICPMPI Faust · Mean over pose pairstime (s): 7.08 -> 1.30Helped
Use the proposed method instead of RPTSMPI Faust · Mean over pose pairstime (s): 34.86 -> 1.30Helped
Use the proposed method instead of other compared methodsRobust non-rigid registration · Partially overlapping bouncing dataRMSEHelped
Use the proposed method instead of N-ICP and RPTSRobust non-rigid registration · Noisy jumping dataRMSEHelped

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