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References
Bajcsy, R., Lieberson, R., and Reivich, M. (1983). A computerized system for the elastic matching of deformed radiographic images to idealized atlas images. J. Comput. Ass. Tomography 7:618–625.
Bathe, K.-J. (1982). Finite Element Procedures in Engineering Analysis. Englewood Cliffs: Prentice Hall.
Bathe, K.-J. (1996). Finite Element Procedures. New Jersey: Prentice Hall.
Davatzikos, C. (1996). Spatial normalization of 3D brain images using deformable models. J. Comput. Ass. Tomography 20:656–665.
Dou, J., Tseng, W. Y., Reese, T. G., and Wedeen, V. J. (2003). Combined diffusion and strain MRI reveals structure and function of human myocardial laminar sheets in vivo. Magn. Reson. Med. 50:107–113.
Fletcher, R. (1989). Practical Methods of Optimization. New Delhi: John Wiley & Sons.
Gee, J., Reivich, M., and Bajcsy, R. (1993). Elastically deforming 3D atlas to match anatomical brain images. J. Comput. Ass. Tomography 17:225–236.
Gilchrist, C. L., Xia, J. Q., Setton, L. A., and Hsu, E. W. (2004). Highresolution determination of soft tissue deformations using MRI and firstorder texture correlation. IEEE Trans. Med. Imaging 23:546–553.
Gonzalez, R. C., and Woods, R. E. (1992). Digital image processing. Reading, Massachusetts: Addison-Wesley.
Holmes, J. W., Takayama, Y., LeGrice, I., and Covell, J. W. (1995). Depressed regional deformation near anterior papillary muscle. Am. J. Physiol. 269:H262–H270.
Humphrey, J. D., Strumpf, R. K., and Yin, F. C. P. (1990a). Determination of a constitutive relation for passive myocardium: I. A new functional form. J. Biomech. Eng. 112:333–339.
Humphrey, J. D., Strumpf, R. K., and Yin, F. C. P. (1990b). Determination of a constitutive relation for passive myocardium: II. Parameter estimation. J. Biomech. Eng. 112:340–346.
Klein, G. J., Reutter, B. W., and Huesman, R. H. (1997). Non-rigid summing of gated PET via optical flow. IEEE Trans. Nucl. Sci. 44:1509–1512.
Maker, B. N., Ferencz, R. M., and Hallquist, J. O. (1990). NIKE3D: A nonlinear, implicit, three-dimensional finite element code for solid and structural mechanics. Technical report UCRL-MA, Lawrence Livermore National Laboratory.
Matthies, H., and Strang, G. (1979). The solution of nonlinear finite element equations. Int. J. Numer. Meth. Engr. 14:1613–1626.
McCulloch, A. D., Smaill, B. H., and Hunter, P. J. (1989). Regional left ventricular epicardial deformation in the passive dog heart. Circ. Res. 64:721–733.
Miller, M. I., Trouvé, A., and Younes, L. (2002). On the metrics and Euler-Lagrange equations of computational anatomy. Ann. Rev. Biomed. Eng. 4:375–405.
Rabbitt, R. D., Weiss, J. A., Christensen, G. E., and Miller, M. I. (1995). Mapping of hyperelastic deformable templates using the finite element method. SPIE 2573:252–265.
Reddy, J. N. (2002). EnergyPrinciples and Variational Methods in Applied Mechanics. 2nd edition.
Simo, J. C., and Hughes, T. J. R. (1998). Computational Inelasticity. New York: Springer.
Spencer, A. (1980). Continuum Mechanics. New York: Longman.
Veress, A. I., Weiss, J. A., Gullberg, G. T., Vince, D. G., and Rabbitt, R. D. (2003). Strain measurement in coronary arteries using intravascular ultrasound and deformable images. J. Biomech. Eng. 124:734–741.
Veress, A. I., Phatak, N., and Weiss, J. A. (2004). Deformable image registration with hyperelastic warping. In The Handbook of Medical Image Analysis: Segmentation and Registration Models. New York: Marcel Dekker.
Weiss, J. A., Maker, B. N., and Govindjee, S. (1996). Finite element implementation of incompressible, transversely isotropic hyperelasticity. Comput. Meth. Appl. Mech. Engr. 135:107–128.
Weiss, J. A., Rabbitt, R. D., and Bowden, A. E. (1998). Incorporation of medical image data in finite element models to track strain in soft tissues. SPIE 3254:477–484.
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Weiss, J.A. et al. (2006). Strain Measurement Using Deformable Image Registration. In: Holzapfel, G.A., Ogden, R.W. (eds) Mechanics of Biological Tissue. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31184-X_35
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DOI: https://doi.org/10.1007/3-540-31184-X_35
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