Nonlinear elastic model for image registration and soft tissue simulation based on piecewise St. Venant-Kirchhoff material approximation

Evgeny Gladilin; Roland Eils

doi:10.1117/12.766366

11 March 2008 Nonlinear elastic model for image registration and soft tissue simulation based on piecewise St. Venant-Kirchhoff material approximation

Evgeny Gladilin, Roland Eils

Author Affiliations +

Proceedings Volume 6914, Medical Imaging 2008: Image Processing; 69142O (2008) https://doi.org/10.1117/12.766366
Event: Medical Imaging, 2008, San Diego, California, United States

Abstract

Linear elastic model widely applied for simulation of soft tissue deformations in biomedical imaging applications is basically limited to the range of small deformations and rotations. Thus, computation of large deformations and rotations using linear elastic approximation and its derivatives is associated with substantial error. More realistic modeling of mechanical behavior of soft tissue requires handling of different types of nonlinearities. This paper presents a framework for more accurate modeling of deformable structures based on the St. Venant-Kirchhoff law with the nonlinear Green-Lagrange strain tensor and variable material constants, which considers both material and geometric nonlinearities. We derive the governing partial differential equation of nonlinear elasticity, which represents consistent extension of the Lame-Navier PDE of linear elasticity, and describe two alternative numerical schemes for solving this nonlinear PDE via the Newton's and fixed point method, respectively. The results of our comparative studies demonstrate the advantages of nonlinear elastic model for accurate computing of large deformations and rotations in comparison to the linear elastic approximation.

Citation Download Citation

Evgeny Gladilin and Roland Eils "Nonlinear elastic model for image registration and soft tissue simulation based on piecewise St. Venant-Kirchhoff material approximation", Proc. SPIE 6914, Medical Imaging 2008: Image Processing, 69142O (11 March 2008); https://doi.org/10.1117/12.766366

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available