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Global Optimality for Point Set Registration Using Semidefinite Programming

CVPR 2020 · Point clouds › Registration and matching · approach: Non-rigid point set registration · 37 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the alternative Schur-complement spectral bound (Theorem 2) instead of the first spectral bound (Theorem 1)Point set registration optimality certification · Synthetic point-set registration experimentscertificate bound tightnessHelped
Increase the amount of missing dataSDP relaxation for point set registration · Synthetic point-set registrationrelaxation tightnessHurt
Make the target point cloud closer to planarTheorem 1 certificate for point set registration · Synthetic point-set registrationcertificate usefulnessHurt
Use a sequence with more movement, more missing data, and fewer shared points across source setsSDP relaxation for point set registration · TUM RGB-D fr3/teddyrelaxation tightnessHurt
Use Theorem 2 certification on the local-optimizer solutionPoint set registration · TUM RGB-D fr1/teddycertificate ε′: 2.0963 -> 0.1769Helped

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