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Efficient Inverse Isoparametric Mapping Algorithm for Whole-Body Computed Tomography Registration using Deformations Predicted by Nonlinear Finite Element Modeling

Institution:
Intelligent Systems for Medicine Laboratory, School of Mechanical Engineering, The University of Western Australia, Perth, Western Australia, Australia.
Publication Date:
Aug-2014
Journal:
J Biomech Eng
Volume Number:
136
Issue Number:
8
Citation:
J Biomech Eng. 2014 Aug;136(8).
PubMed ID:
24828796
PMCID:
PMC4991307
Keywords:
image registration, inverse isoparametric mapping, finite element method, hexahedral element
Appears in Collections:
NA-MIC
Sponsors:
U54 EB005149/EB/NIBIB NIH HHS/United States
Generated Citation:
Li M., Wittek A., Miller K. Efficient Inverse Isoparametric Mapping Algorithm for Whole-Body Computed Tomography Registration using Deformations Predicted by Nonlinear Finite Element Modeling. J Biomech Eng. 2014 Aug;136(8). PMID: 24828796. PMCID: PMC4991307.
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Biomechanical modeling methods can be used to predict deformations for medical image registration and particularly, they are very effective for whole-body computed tomography (CT) image registration because differences between the source and target images caused by complex articulated motions and soft tissues deformations are very large. The biomechanics-based image registration method needs to deform the source images using the deformation field predicted by finite element models (FEMs). In practice, the global and local coordinate systems are used in finite element analysis. This involves the transformation of coordinates from the global coordinate system to the local coordinate system when calculating the global coordinates of image voxels for warping images. In this paper, we present an efficient numerical inverse isoparametric mapping algorithm to calculate the local coordinates of arbitrary points within the eight-noded hexahedral finite element. Verification of the algorithm for a nonparallelepiped hexahedral element confirms its accuracy, fast convergence, and efficiency. The algorithm's application in warping of the whole-body CT using the deformation field predicted by means of a biomechanical FEM confirms its reliability in the context of whole-body CT registration.

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