Laplace deconvolution on the basis of time domain data and its application to dynamic contrast‐enhanced imaging

@article{Comte2014LaplaceDO,
  title={Laplace deconvolution on the basis of time domain data and its application to dynamic contrast‐enhanced imaging},
  author={Fabienne Comte and Charles Andr{\'e} Cu{\'e}nod and Marianna Pensky and Yves Rozenholc},
  journal={Journal of the Royal Statistical Society: Series B (Statistical Methodology)},
  year={2014},
  volume={79}
}
  • F. Comte, C. Cuénod, Y. Rozenholc
  • Published 28 May 2014
  • Mathematics
  • Journal of the Royal Statistical Society: Series B (Statistical Methodology)
We consider the problem of Laplace deconvolution with noisy discrete non‐equally spaced observations on a finite time interval. We propose a new method for Laplace deconvolution which is based on expansions of the convolution kernel, the unknown function and the observed signal over a Laguerre functions basis (which acts as a surrogate eigenfunction basis of the Laplace convolution operator) using a regression setting. The expansion results in a small system of linear equations with the matrix… 
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