computes the Laplace convolution of two functions f and g observed at discrete times t. Use trapezoidal formula and an expansion of f in the Laguerre function basis.
EX_DCEMRI_t0.rda, EX_DCEMRI_t1.rda
(Package: LaplaceDeconv) :
Data from two Dynamical Contrast Enhanced Computer Tomography (DCE-CT) image sequences realized one patient of the cohort REMISCAN before treatment starts (t0) and after 15 days of treatment (t1). These are the real data used to illustrate the paper in References.
Each dataset contains a variable ex_dcemri which is a list containing #'
Main function of this package : computes the Laplace deconvolution with noisy discrete non-equally spaced observations on a finite time interval (see reference).
build the matrix associated to the Laguerre function basis at given times, its QR decomposition, the coefficients of the kernel function of the Laplace convolution and the Toeplitz matrix associated to the Laplace convolution with the kernel g.
providing 
.