论文标题

时间模型的动态逆问题中的图像重建

Image reconstruction in dynamic inverse problems with temporal models

论文作者

Hauptmann, Andreas, Öktem, Ozan, Schönlieb, Carola

论文摘要

本文调查了动态反问题中图像重建的变异方法。重点是依靠参数化的时间模型的方法。在这里,它们被编码为与时间相关参数的差异变形,或者作为运动模型通过部分微分方程给出的运动的重建。该调查还包括在整合深度学习以解决这些计算苛刻的变分方法方面的发展。给出了2D动态断层扫描的示例,但方法适用于一般的反问题。

The paper surveys variational approaches for image reconstruction in dynamic inverse problems. Emphasis is on methods that rely on parametrised temporal models. These are here encoded as diffeomorphic deformations with time dependent parameters, or as motion constrained reconstruction where the motion model is given by a partial differential equation. The survey also includes recent development in integrating deep learning for solving these computationally demanding variational methods. Examples are given for 2D dynamic tomography, but methods apply to general inverse problems.

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