A Tensor Approach to Elastography Analysis and Visualization
Elastography measures the elastic properties of soft tissues using principally ultrasound (US) or magnetic resonance (MR) signals. The elastic behavior of tissues can be analyzed with tensor signal processing. In this work, we propose an analysis of elastography through the deformation tensor and its decomposition into both strain and vorticity tensors. The vorticity gives information about the rotation of the inclusions (simulated tumors) that might be helpful in the discrimination between malign and benign tumors without using biopsy. The tensor strain field visualizes in one image the standard scalar parameters that are usually represented separately in elastography. By using this technique physicians would have complementary information. In addition, it offers them the possibility of extracting new discriminant and useful parameters related to the elastic behavior of tissues. Although clinical validation is needed, synthetic experiments from finite element and ultrasound simulations present reliable results.
KeywordsAxial Strain Strain Tensor Contrast Ratio Elastographic Strain Symmetric Boundary Condition
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Funding was provided by the Spanish Ministry of Science and Technology (TEC-2004-06647-C03-02), the European NoE SIMILAR FP6-507609 and for the second and third author, cofunded by MEC and Social European Funds, (Torres Quevedo PTQ2004-1443 and PTQ2004-1444, respectively).
- Programme in medicinal chemistry, university of Cambridge.Google Scholar
- B.S. Garra, I. Céspedes, J. Ophir, S. Spratt, R.A. Zuurbier, CM. Magnant, and M.F. Pennanen, Elastography of breast lesions: initial clinical results. Radiology, 202:79–86, 1997.Google Scholar
- T.A. Krouskop, T.M. Wheeler, F. Kallel, B.S. Garra, and T. Hall, Elastic moduli of breast and prostate tissue under compression. Ultrasonic Imaging, 20:260–274, 1998.Google Scholar
- R.M. Lerner and K.J. Parker, Sonoelasticity imaging. In Proceedings of the 16th International Acoustical Imaging Symposium (Plenum), volume 16, The Netherlands. Luxembourg, pp. 317–327, 1998.Google Scholar
- L.E. Malvern, Introduction to the Mechanics of a Continuous Medium. Prentice Hall, Englewood, NJ, 1969.Google Scholar
- T. Otake, T. Kawano, T. Sugiyama, T. Mitake, and S. Umemura. High-quality/high-resolution digital ultrasound diagnostic scanner. Hitachi Review, 52(4), 2003.Google Scholar
- E. Reissner, Note on the theorem of the symmetry of the stress tensor. Journal of Mathematics and Physics, 25, 1946.Google Scholar
- M.A. Rodriguez-Florido, C.-F. Westin, and J. Ruiz-Alzola, DT-MRI regularization using anisotroipic tensor field filtering. IEEE International Symposium on Biomedical Imaging, pp. 15–18, April 2004.Google Scholar
- M. Shling, M. Arigovindan, C. Jansen, P. Hunziker, and M. Unser, Myocardial motion analysis from b-mode echocardiograms. IEEE Transactions on Image Processing, 14(4), April 2005.Google Scholar
- D. Sosa-Cabrera, Novel Processing Schemes and Visualization Methods for Elasticity Imaging. PhD Dissertation, University of Las Palmas de Gran Canaria, 2008.Google Scholar
- D. Sosa-Cabrera, J. Ophir, T. Krouskop, A. Thitai-Kumar, and J Ruiz-Alzola, Study of the effect of boundary conditions and inclusion’s position on the contrast transfer efficiency in elastography. In IV International Conference on the Ultrasonic Measurement and Imaging of Tissue Elasticity, p. 94, October 2005.Google Scholar
- D. Sosa-Cabrera, M.A. Rodriguez-Florido, E. Suarez-Santana, and J. Ruiz-Alzola, Vorticity visualization: Phantom study for a new discriminant parameter in elastography. In Proceedings of SPIE in Medical Imaging, volume 6513, 2007.Google Scholar
- S. Srinivasan, F. Kallel, R. Souchon, and J. Ophir, Analysis of an adaptive strain estimation technique in elastography. Ultrasonic Imaging, 24:109–118, 2002.Google Scholar
- U. Techavipoo, Q. Chen, T. Varghese, and J. A. Zagzebski, Estimation of displacement vectors and strain tensors in elastography using angular insonifications. IEEE Transactions on Medical Imaging, 23(12), December 2004.Google Scholar