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Research map / Point clouds / Shape and surface completion

PointGMM: A Neural GMM Network for Point Clouds

CVPR 2020 · Point clouds › Shape and surface completion · approach: Unsupervised shape correspondence · 65 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use PointGMM for rigid registration instead of the strongest listed baselinePointGMM registration · Partial chair, car, and airplane point clouds across the reported rotation and coverage conditionsMSE: chair: 0.0430 -> 0.0226; car: 0.0399 -> 0.0246; airplane: 0.0632 -> 0.0312 (30°, 50–80% coverage)Helped
use PointGMM instead of the strongest listed baseline under large rotationsPointGMM registration · Chair, car, and airplane; 180° max rotation, both coverage rangesMSE: chair: 0.2578 -> 0.0232; 0.2817 -> 0.0574; car: 0.2134 -> 0.0290; 0.2350 -> 0.0702; airplane: 0.1979 -> 0.0350; 0.2293 -Helped
add a PointGMM decoder to the transformation encoder (ablation)PointGMM registration · Chair, car, and airplane decoder ablationMSE: chair: 0.0612 -> 0.0382; car: 0.1514 -> 0.0447; airplane: 0.1688 -> 0.0447Helped
replace the PointGMM decoder with a PointNet auto-encoder point decoder (ablation)PointGMM registration · Chair, car, and airplane decoder ablationMSE: chair: 0.0382 -> 0.1185; car: 0.0447 -> 0.2073; airplane: 0.0447 -> 0.1817Hurt
use a hierarchical GMM rather than a vanilla GMM (ablation)PointGMM shape generation · ShapeNet chairlog-likelihoodHelped
increase Gaussian count in the hierarchical model (ablation)PointGMM shape generation · ShapeNet chairlog-likelihoodHelped
increase Gaussian count in the vanilla GMM model (ablation)PointGMM shape generation · ShapeNet chairlog-likelihoodHurt
add sibling self-attention to the hierarchical decoder (ablation)PointGMM shape generation · ShapeNet chair, especially shallower models with fewer Gaussianslog-likelihoodHelped

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