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Recognizing Rigid Patterns of Unlabeled Point Clouds by Complete and Continuous Isometry Invariants With No False Negatives and No False Positives

CVPR 2023 · Point clouds › Point cloud classification · approach: Equivariant point cloud networks · 14 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the Simplexwise Centered Distribution (SCD) with oriented relative distances weighted by simplex strengthUnlabeled point clouds in Euclidean space · Isometry recognitioncompleteness and continuityHelped
Weight orientation signs by a continuous simplex-strength function that vanishes for degenerate simplicesOriented centered distributions · Euclidean point cloudscontinuityHelped

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