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Tissue elasticity reconstruction using linear perturbation method

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2 Author(s)
Kallel, F. ; Inst. de Genie Biomed., Ecole Polytech., Montreal, Que., Canada ; Bertrand, M.

A new method to reconstruct the elastic modulus of soft tissue subjected to an external static compression is presented. In this approach the Newton-Raphson method is used to vary a finite element (FE) model of the elasticity equations to fit, in a least squared sense, a set of axial tissue displacement fields estimated using a correlation technique applied to ultrasound signals. The ill-conditioning of the Hessian matrix is eliminated using the Tikhonov regularization technique. This regularization provides a compromise between fidelity to the observed data and a priori information of the solution. Using an echographic image formation model, it is shown that the method converges within a few iterations (8-10) and that strain images artifacts which are common in elastography are significantly reduced after the resolution of the inverse problem

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Medical Imaging, IEEE Transactions on  (Volume:15 ,  Issue: 3 )