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A spline interpolation based data reconstruction technique for estimation of strain time constant in ultrasound poroelastography

TLDR
A cubic spline–based interpolation method, which allows to use only good quality strain frames (i.e., frames with sufficiently high signal-to-noise ratio [SNR]) to estimate the strain TC, and is of great help in applications relying on the accurate assessment of the temporal behavior of strain data.
Abstract
Ultrasound poroelastography is a cost-effective non-invasive imaging technique, which is able to reconstruct several mechanical parameters of cancer and normal tissue such as Young's modulus, Poisson's ratio, interstitial permeability and vascular permeability To estimate the permeabilities, estimation of the strain time constant (TC) is required, which is a challenging task because of non-linearity of the exponential strain curve and noise present in the experimental data Moreover, noise in many strain frames becomes very high because of motion artifacts from the sonographer, animal/patient and/or the environment Therefore, using these frames in computation of strain TC can lead to inaccurate estimates of the mechanical parameters In this letter, we introduce a cubic spline based interpolation method, which uses only the good frames (frame of high SNR) to reconstruct the information of the bad frames (frames of low SNR) and estimate the strain TC We prove with finite element simulation that the proposed reconstruction method can improve the estimation accuracy of the strain TC by 46% in comparison to the estimates from noisy data, and 37% in comparison to the estimates from Kalman filtered data at an SNR of 30dB Based on the high accuracy of the proposed method in estimating strain TC from poroelastography data, the proposed method can be preferred technique by the clinicians and researchers interested in non-invasive imaging of tissue mechanical parameters

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References
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Journal ArticleDOI

Elastography: A Quantitative Method for Imaging the Elasticity of Biological Tissues

TL;DR: Initial results of several phantom and excised animal tissue experiments are reported which demonstrate the ability of this technique to quantitatively image strain and elastic modulus distributions with good resolution, sensitivity and with diminished speckle.
Journal ArticleDOI

Elastography: ultrasonic estimation and imaging of the elastic properties of tissues.

TL;DR: The strain filter formalism and its utility in understanding the noise performance of the elastographic process is given, as well as its use for various image improvements.
Journal ArticleDOI

Separable nonlinear least squares: the variable projection method and its applications

TL;DR: In this paper, the authors review 30 years of developments and applications of the variable projection method for solving separable nonlinear least-squares problems and present a variety of applications from electrical engineering, medical and biological imaging, chemistry, robotics, vision, and environmental sciences.
Book ChapterDOI

Cubic Spline Interpolation

Journal ArticleDOI

Real-Time Regularized Ultrasound Elastography

TL;DR: This paper introduces two real-time elastography techniques based on analytic minimization (AM) of regularized cost functions that produce axial strain and integer lateral displacement, while the second method produces both axial and lateral strains.
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