Modeling of Personalized Anatomy using Plastic Strains

Modeling of Personalized Anatomy using Plastic Strains
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使用塑料应变进行个性化解剖学建模

DOI:
10.1145/3454118
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发表时间:
2021
影响因子:
6.2
通讯作者:
Bohan Wang, George Matcuk
Bohan Wang, George Matcuk
中科院分区:
计算机科学1区
文献类型:
--
作者:
Bohan Wang, George Matcuk

文献摘要

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我们提出了一种对经历大空间变化和/或各向异性应变的实体进行建模的方法,并用它从医学图像重建人体解剖结构。我们新颖的形状变形方法使用塑性应变和有限元方法成功地对经历大应变和/或各向异性应变的形状进行建模,这些应变由对象边界上的稀疏点约束指定。我们将我们的方法与标准二阶形状变形方法、变分方法和基于表面的方法进行了广泛比较,并证明我们的方法避免了以前方法的尖峰、摆动和其他伪影。我们演示了如何对附着和未附着(“自由飞行”)物体执行这种形状变形,使用一种新颖的方法来求解具有已知零空间的奇异矩阵的线性系统。虽然我们的方法适用于一般的大应变形状变形建模,但我们使用它基于磁共振成像或计算机断层扫描来创建人体器官的个性化 3D 三角形和体积网格。给定一般个体的医学上准确的解剖模板,我们优化器官的几何形状以匹配特定个体的磁共振成像或计算机断层扫描。我们的例子包括人类手部肌肉、肝脏、髋骨和臀中肌(“髋关节外展肌”)。
We present 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 artifacts 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. Although 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 magnetic resonance imaging or computed tomography scans. Given a medically accurate anatomy template of a generic individual, we optimize the geometry of the organ to match the magnetic resonance imaging or computed tomography scan of a specific individual. Our examples include human hand muscles, a liver, a hip bone, and a gluteus medius muscle (“hip abductor”).