An inverse hyper-spherical harmonics-based formulation for reconstructing 3D volumetric lung deformations

    Authors

    A. P. Santhanam; Y. G. Min; S. P. Mudur; A. Rastogi; B. H. Ruddy; A. Shah; E. Divo; A. Kassab; J. P. Rolland;P. Kupelian

    Comments

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    Abbreviated Journal Title

    C. R. Mec.

    Keywords

    Biomechanics; Inverse problems; 3D lung dynamics; Hyper-spherical; harmonics; REAL-TIME; TISSUE; ELASTOGRAPHY; MOTION; MODEL; Mechanics

    Abstract

    A method to estimate the deformation operator for the 3D volumetric lung dynamics of human subjects is described in this paper. For known values of air flow and volumetric displacement, the deformation operator and subsequently the elastic properties of the lung are estimated in terms of a Green's function. A Hyper-Spherical Harmonic (HSH) transformation is employed to compute the deformation operator. The hyper-spherical coordinate transformation method discussed in this paper facilitates accounting for the heterogeneity of the deformation operator using a finite number of frequency coefficients. Spirometry measurements are used to provide values for the airflow inside the lung. Using a 3D optical flow-based method, the 3D volumetric displacement of the left and right lungs, which represents the local anatomy and deformation of a human subject, was estimated from 4D-CT dataset. Results from an implementation of the method show the estimation of the deformation operator for the left and right lungs of a human subject with non-small cell lung cancer. Validation of the proposed method shows that we can estimate the Young's modulus of each voxel within a 2% error level. (C) 2010 Academic des sciences. Published by Elsevier Masson SAS. All rights reserved.

    Journal Title

    Comptes Rendus Mecanique

    Volume

    338

    Issue/Number

    7-8

    Publication Date

    1-1-2010

    Document Type

    Article

    Language

    English

    First Page

    461

    Last Page

    473

    WOS Identifier

    WOS:000282154700010

    ISSN

    1631-0721

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