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Main Authors: Liu, Yingcheng, Taymourtash, Athena, Liu, Yang, Turk, Esra Abaci, Wells, William M., Joskowicz, Leo, Grant, P. Ellen, Golland, Polina
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.02371
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author Liu, Yingcheng
Taymourtash, Athena
Liu, Yang
Turk, Esra Abaci
Wells, William M.
Joskowicz, Leo
Grant, P. Ellen
Golland, Polina
author_facet Liu, Yingcheng
Taymourtash, Athena
Liu, Yang
Turk, Esra Abaci
Wells, William M.
Joskowicz, Leo
Grant, P. Ellen
Golland, Polina
contents Automated analysis of articulated bodies is crucial in medical imaging. Existing surface-based models often ignore internal volumetric structures and rely on deformation methods that lack anatomical consistency guarantees. To address this problem, we introduce a differentiable volumetric body model based on the Skinned Multi-Person Linear (SMPL) formulation, driven by a new Kinematic Tree-based Log-Euclidean PolyRigid (KTPolyRigid) transform. KTPolyRigid resolves Lie algebra ambiguities associated with large, non-local articulated motions, and encourages smooth, bijective volumetric mappings. Evaluated on 53 fetal MRI volumes, KTPolyRigid yields deformation fields with significantly fewer folding artifacts. Furthermore, our framework enables robust groupwise image registration and a label-efficient, template-based segmentation of fetal organs. It provides a robust foundation for standardized volumetric analysis of articulated bodies in medical imaging.
format Preprint
id arxiv_https___arxiv_org_abs_2603_02371
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Aligning Fetal Anatomy with Kinematic Tree Log-Euclidean PolyRigid Transforms
Liu, Yingcheng
Taymourtash, Athena
Liu, Yang
Turk, Esra Abaci
Wells, William M.
Joskowicz, Leo
Grant, P. Ellen
Golland, Polina
Computer Vision and Pattern Recognition
Graphics
Automated analysis of articulated bodies is crucial in medical imaging. Existing surface-based models often ignore internal volumetric structures and rely on deformation methods that lack anatomical consistency guarantees. To address this problem, we introduce a differentiable volumetric body model based on the Skinned Multi-Person Linear (SMPL) formulation, driven by a new Kinematic Tree-based Log-Euclidean PolyRigid (KTPolyRigid) transform. KTPolyRigid resolves Lie algebra ambiguities associated with large, non-local articulated motions, and encourages smooth, bijective volumetric mappings. Evaluated on 53 fetal MRI volumes, KTPolyRigid yields deformation fields with significantly fewer folding artifacts. Furthermore, our framework enables robust groupwise image registration and a label-efficient, template-based segmentation of fetal organs. It provides a robust foundation for standardized volumetric analysis of articulated bodies in medical imaging.
title Aligning Fetal Anatomy with Kinematic Tree Log-Euclidean PolyRigid Transforms
topic Computer Vision and Pattern Recognition
Graphics
url https://arxiv.org/abs/2603.02371