Laplace Deconvolution on the Basis of Time Domain Data and its Application to Dynamic Contrast-Enhanced Imaging
基于时域数据的拉普拉斯反卷积及其动态对比增强成像应用
Summary 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…