Accelerated Exponential Fitting for Rapid Relaxation Time Mapping
Eggers H, Boesiger P
The quantification of relaxation times is commonly based on the fitting of an exponential function to a time series of signal intensities. Solving a non-linear regression problem for this purpose provides accurate estimates, but is rather time-consuming in form of the popular Levenberg-Marquardt method. It is proposed to perform a search for a real root of a polynomial in a small interval instead. This approach is shown to permit a substantial acceleration of the quantification compared to the Levenberg-Marquardt method, while achieving the same accuracy.