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Image to Sphere: Learning Equivariant Features for Efficient Pose Prediction

ICLR 2023 · 3D vision › Human pose estimation · approach: Learned camera pose estimation · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Spherical (S2) equivariant pipeline with spatial orthographic projection, versus MLP-based Fourier coefficients (ablation)I2S pose predictor · ModelNet10-SO(3) limited training viewsAcc@15: 0.623 vs 0.360Helped
Spatial orthographic projection instead of Fourier-coefficient projection (ablation)I2S feature projection · ModelNet10-SO(3) limited training viewsAcc@15: 0.623 vs 0.523 (spatial filter variants)Helped
Spherical convolution instead of icosahedral discrete group convolution (ablation)I2S · ModelNet10-SO(3) limited training viewsAcc@15: 0.623 vs 0.455Helped
Filter parametrization: spatial filter instead of Fourier filter (with spatial projection) (ablation)I2S · ModelNet10-SO(3) limited training viewsAcc@15: 0.610 vs 0.623No clear effect
Add final SO(3) group convolution after S2 convolution (ablation)I2S · ModelNet10-SO(3) full training setMedErr: 14.4 with vs 15.6 without (Acc@15 unchanged at 0.729)Mixed
Add final SO(3) group convolution after S2 convolution (ablation)I2S · ModelNet10-SO(3) limited training viewsAcc@15: 0.623 vs 0.616Helped
Add a second SO(3) convolution (ablation)I2S · ModelNet10-SO(3) full training setMedErr: 19.0 vs 14.4 with one convHurt
Maximum frequency L higher than 6 (L=8, 10) instead of L=6 (ablation)I2S · ModelNet10-SO(3) limited training viewsAcc@15: 0.605 (L=8), 0.599 (L=10) vs 0.623 (L=6)Hurt
I2S vs best baseline (regression/distribution) on PASCAL3D+I2S · PASCAL3D+avg. median rotation error: 9.8 vs 10.1Helped
I2S vs implicit baseline on SYMSOL II with 100k imagesI2S · SYMSOL I and IIavg. log likelihood: 3.41 vs 4.10 (SYMSOL I); 4.84 vs 7.57 (SYMSOL II)Hurt
Reduce SYMSOL training from 100k to 10k images per shape with I2SI2S · SYMSOL Iavg. log likelihood: 2.98 (10k) vs 3.41 (100k)Mixed

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