A Tensor Approach to Elastography Analysis and Visualization

  • D. Sosa-Cabrera
  • M. A. Rodriguez-Florido
  • E. Suarez-Santana
  • Juan Ruiz-Alzola
Part of the Mathematics and Visualization book series (MATHVISUAL)


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.


Axial Strain Strain Tensor Contrast Ratio Elastographic Strain Symmetric Boundary Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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).


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • D. Sosa-Cabrera
    • 1
  • M. A. Rodriguez-Florido
    • 2
    • 1
  • E. Suarez-Santana
    • 1
    • 2
  • Juan Ruiz-Alzola
    • 1
    • 2
  1. 1.Center for Technology in MedicineUniversity of Las Palmas de Gran CanariaSpain
  2. 2.Canary Islands Institute of TechnologySpain

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