USC Logo Modeling of Personalized Anatomy using Plastic Strains
ACM Transaction on Graphics (TOG) 2021


  • Bohan Wang
    University of Southern California
  • George Matcuk
    University of Southern California
  • Jernej Barbič
    University of Southern California

Project material


  • Bohan Wang, George Matcuk, Jernej Barbič:
    Modeling of Personalized Anatomy using Plastic Strains, ACM Transaction on Graphics (TOG), 40(2), 2021. BIBTEX


We give a method for modeling solid objects undergoing large spatially varying and/or anisotropic strains, and use it to reconstruct human anatomy from medical images. Our novel shape deformation method uses plastic strains and the Finite Element Method to successfully model shapes undergoing large and/or anisotropic strains, specified by sparse point constraints on the boundary of the object. We extensively compare our method to standard second-order shape deformation methods, variational methods and surface-based methods and demonstrate that our method avoids the spikiness, wiggliness and other artefacts of previous methods. We demonstrate how to perform such shape deformation both for attached and un-attached ("free flying") objects, using a novel method to solve linear systems with singular matrices with a known nullspace. While our method is applicable to general large-strain shape deformation modeling, we use it to create personalized 3D triangle and volumetric meshes of human organs, based on MRI or CT scans. Given a medically accurate anatomy template of a generic individual, we optimize the geometry of the organ to match the MRI or CT scan of a specific individual. Our examples include human hand muscles, a liver, a hip bone, and a gluteus medius muscle ("hip abductor").

Comments, questions to Jernej Barbič.

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Conflict of interest statement

The hip bone and hip muscle template meshes were obtained at Ziva Dynamics. Jernej Barbic is a shareholder, CTO and board member of Ziva Dynamics. Ziva Dynamics was not involved in this research. Nothing in this paper is to be understood as endorsement of Ziva Dynamics or its products.


Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.

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