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LaplaceDeconv (version 1.0.4)

Laplace Deconvolution with Noisy Discrete Non-Equally Spaced Observations on a Finite Time Interval

Description

Solves the problem of Laplace deconvolution with noisy discrete non-equally spaced observations on a finite time interval based on expansions of the convolution kernel, the unknown function and the observed signal over Laguerre functions basis. It implements the methodology proposed in the paper "Laplace deconvolution on the basis of time domain data and its application to Dynamic Contrast Enhanced imaging" by F. Comte, C-A. Cuenod, M. Pensky and Y. Rozenholc in ArXiv (http://arxiv.org/abs/1405.7107).

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Version

Install

install.packages('LaplaceDeconv')

Monthly Downloads

59

Version

1.0.4

License

MIT + file LICENSE

Maintainer

Last Published

January 27th, 2016

Functions in LaplaceDeconv (1.0.4)

LagLaplDeconv

function LagLaplDeconv
MakeLaguerreMatrix

function MakeLaguerreMatrix
LaplaceConvolution

function LaplaceConvolution
EX_DCEMRI_t0.rda, EX_DCEMRI_t1.rda

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.
BuildLaguerreSystem

function BuildLaguerreSystem
LaguerreLaplaceConvolution

function LaguerreLaplaceConvolution