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Hierarchical Kinematic Probability Distributions for 3D Human Shape and Pose Estimation from Images in the Wild

3 Oct 2021ICCV 2021 10arXiv:2110.00990archive 2025-07-28

Akash Sengupta, Ignas Budvytis, Roberto Cipolla

This paper addresses the problem of 3D human body shape and pose estimation from an RGB image. This is often an ill-posed problem, since multiple plausible 3D bodies may match the visual evidence present in the input - particularly when the subject is occluded. Thus, it is desirable to estimate a distribution over 3D body shape and pose conditioned on the input image instead of a single 3D reconstruction. We train a deep neural network to estimate a hierarchical matrix-Fisher distribution over relative 3D joint rotation matrices (i.e. body pose), which exploits the human body's kinematic tree structure, as well as a Gaussian distribution over SMPL body shape parameters. To further ensure that the predicted shape and pose distributions match the visual evidence in the input image, we implement a differentiable rejection sampler to impose a reprojection loss between ground-truth 2D joint coordinates and samples from the predicted distributions, projected onto the image plane. We show that our method is competitive with the state-of-the-art in terms of 3D shape and pose metrics on the SSP-3D and 3DPW datasets, while also yielding a structured probability distribution over 3D body shape and pose, with which we can meaningfully quantify prediction uncertainty and sample multiple plausible 3D reconstructions to explain a given input image. Code is available at https://github.com/akashsengupta1997/HierarchicalProbabilistic3DHuman .

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BasicBlock akashsengupta1997/hierarchicalprobabilistic3dhuman/models/poseMF_shapeGaussian_net.py official repository ran · metamorphic tier: invariant MIT (permissive) · e8786ae7bf328e92 · report
Bottleneck akashsengupta1997/hierarchicalprobabilistic3dhuman/models/poseMF_shapeGaussian_net.py official repository ran MIT (permissive) · c30c22b8fd27de76 · report
conv1x1 akashsengupta1997/hierarchicalprobabilistic3dhuman/models/poseMF_shapeGaussian_net.py official repository ran · our draft was wrong MIT (permissive) · 5424e5b21df4db41 · report
conv3x3 akashsengupta1997/hierarchicalprobabilistic3dhuman/models/poseMF_shapeGaussian_net.py official repository ran · our draft was wrong MIT (permissive) · 76fdd94bb075ca26 · report
immediate_parents_to_all_parents akashsengupta1997/hierarchicalprobabilistic3dhuman/models/poseMF_shapeGaussian_net.py official repository ran · fixture could not drive it fingerprinted MIT (permissive) · 688d1f0421d66849 · report
rotmat_to_rot6d akashsengupta1997/hierarchicalprobabilistic3dhuman/models/poseMF_shapeGaussian_net.py official repository ran · fixture could not drive it fingerprinted MIT (permissive) · be4988bcecbd6579 · report
PoseMFShapeGaussianNet akashsengupta1997/hierarchicalprobabilistic3dhuman/models/poseMF_shapeGaussian_net.py official repository unverified MIT (permissive) · 8e25a50379d6e80c · report
ResNet akashsengupta1997/hierarchicalprobabilistic3dhuman/models/poseMF_shapeGaussian_net.py official repository unverified MIT (permissive) · b71c2cddf23fd677 · report
_resnet akashsengupta1997/hierarchicalprobabilistic3dhuman/models/poseMF_shapeGaussian_net.py official repository unverified MIT (permissive) · 3f598b597dbd6e90 · report
resnet18 akashsengupta1997/hierarchicalprobabilistic3dhuman/models/poseMF_shapeGaussian_net.py official repository unverified MIT (permissive) · 937d139408dd02ec · report
resnet50 akashsengupta1997/hierarchicalprobabilistic3dhuman/models/poseMF_shapeGaussian_net.py official repository unverified MIT (permissive) · da61eb0bc6999d45 · report

Tasks

3D Human Pose Estimation3D Human Shape Estimation3D ReconstructionMulti-Hypotheses 3D Human Pose EstimationPose Estimation

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
3D Human Pose Estimation 3DPW Hierarchical Probabilistic Humans MPJPE 84.9 #80 of 119 Archive leaderboard report
3D Human Pose Estimation 3DPW Hierarchical Probabilistic Humans PA-MPJPE 53.6 #80 of 119 Archive leaderboard report
3D Human Shape Estimation SSP-3D Hierarchical Probabilistic Humans PVE-T-SC 13.6 #1 of 11 Archive leaderboard report

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