In this paper we study several different methods, both deterministic and stochastic, to solve the nuclear magnetic resonance relaxometry problem. This problem is strongly related to finding a non-negative function given a finite number of values of its Laplace transform embedded in noise. Some of the methods considered here are new. We also propose a procedure which exploits and combines the main features of these methods. Finally, to show the performance of this procedure, some results of applying it to synthetic data are reported.
Barone, P., Ramponi, A., Sebastiani, G. (2001). On the numerical inversion of the Laplace transform for nuclear magnetic resonance relaxometry. INVERSE PROBLEMS, 17(1), 77-95 [10.1088/0266-5611/17/1/307].
On the numerical inversion of the Laplace transform for nuclear magnetic resonance relaxometry
RAMPONI, ALESSANDRO;
2001-01-01
Abstract
In this paper we study several different methods, both deterministic and stochastic, to solve the nuclear magnetic resonance relaxometry problem. This problem is strongly related to finding a non-negative function given a finite number of values of its Laplace transform embedded in noise. Some of the methods considered here are new. We also propose a procedure which exploits and combines the main features of these methods. Finally, to show the performance of this procedure, some results of applying it to synthetic data are reported.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
