학술논문

Evaluation of the Standard Error of the Regression and Coefficient of Determination as goodness-of-fit parameters for Reverberant Shear Wave Elastography
Document Type
Conference
Source
2021 IEEE UFFC Latin America Ultrasonics Symposium (LAUS) Ultrasonics Symposium (LAUS), 2021 IEEE UFFC Latin America. :1-4 Oct, 2021
Subject
Engineered Materials, Dielectrics and Plasmas
Engineering Profession
Fields, Waves and Electromagnetics
Vibrations
Measurement
Estimation error
Fitting
Numerical simulation
Frequency estimation
Acoustics
elastography
ultrasound
shear waves
reverberant field.
Language
Abstract
Several studies of Reverberant shear wave elastography (R-SWE) have shown its potential for clinical applications. Previous studies of R-SWE present a shear wave speed (SWS) estimation based on a curve-fitting of the regression of Bessel functions to find the wavenumber. Recently, the coefficient of determination (R 2 ) was proposed as a goodness-of-fit (GoF) parameter, however, this parameter is not optimal for non-linear fit according to the literature. For this reason, this study proposes the Standard error of the regression (S) as a (GoF). Numerical simulations were performed for 10 000 plane waves to produce a reverberant field. S and R 2 parameters were evaluated using a vibration frequency from 300 to 900 Hz with steps of 200 Hz. Besides, this study suggests a threshold value to reduce estimation error with S. Experiments showed negative values for R 2 even with 10 000 plane waves. Finally, a threshold of 0.15 for S reduced the bias and coefficient of variation, preserving a major percentage of information.