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Modeling Facial Geometry Using Compositional VAEs

CVPR 2018 · Probabilistic and scientific modeling › Molecules and proteins · approach: Equivariant and disentangled latent representations · 124 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace the global linear model with a compositional VAEface geometry fitting · 3D-3D correspondencesRMSE (mm): 2.795 -> 1.320 (0.2%); 1.016 -> 0.247 (10%)Helped
replace the single-level VAE with a compositional VAEface geometry fitting · 3D-3D correspondencesRMSE (mm): 1.678 -> 1.320 (0.2%)Helped
use priors on all layers z1:4 rather than only z1 (ablation)compositional VAE · 3D-3D correspondences (0.2% constrained vertices)RMSE (mm): 1.470 -> 1.320Helped
use only the fine-detail prior z1 rather than priors on z1:4 (ablation)compositional VAE · 3D-3D correspondences (10% constrained vertices)RMSE (mm): 0.717 -> 0.247Helped
replace the global linear model with a compositional VAEface geometry fitting · 2D-3D correspondencesRMSE (mm): 4.381 -> 2.586 (0.2%); 3.302 -> 2.330 (10%)Helped
use priors on all layers z1:4 rather than only z1 (ablation)compositional VAE · 2D-3D correspondences (0.2% constrained vertices)RMSE (mm): 2.690 -> 2.586Helped
use only the fine-detail prior z1 rather than priors on z1:4 (ablation)compositional VAE · 2D-3D correspondences (10% constrained vertices)RMSE (mm): 2.453 -> 2.330Helped
replace the global linear model with a compositional VAEface geometry fitting · Depth mapsRMSE (mm): 3.908 -> 3.020 (σ² = 1); 3.953 -> 3.191 (σ² = 3)Helped
use priors through z3 rather than through z4 (ablation)compositional VAE · Depth maps (σ² = 3)RMSE (mm): 3.226 -> 3.191Helped
use priors on all layers z1:4 rather than only z1:3 (ablation)compositional VAE · Depth maps (σ² = 1)RMSE (mm): 3.079 -> 3.110Hurt
use a compositional latent hierarchy instead of a single low-dimensional latent vectorface geometry representation · 3D face geometryRMSE (mm): LINEAR 2.795 -> OURS z1:4 1.320 (3D-3D, 0.2%)Helped

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