Efficient algorithms for linear dynamic inverse problems with known motion
Efficient algorithms for linear dynamic inverse problems with known motion
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DOI：
10.1088/0266-5611/30/3/035008
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发表时间：
2014-03-01
期刊：
影响因子：
2.1
通讯作者：
Hahn, B. N.
中科院分区：
文献类型：
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作者：
Hahn, B. N.
如果对象在数据采集过程中发生变化，则逆问题称为动态问题。这发生在例如医学应用中，当对快速移动的器官（如肺或心脏）进行成像时。大多数正则化方法都是基于物体在测量过程中是静态的假设。因此，它们在动态情况下的应用经常导致重建中的严重运动伪影。因此，算法必须考虑所研究对象的时间变化。本文针对动态线性逆问题，提出了一种补偿物体运动的重建方法。通过计算机断层扫描算例验证了该算法的有效性。
An inverse problem is called dynamic if the object changes during the data acquisition process. This occurs e.g. in medical applications when fast moving organs like the lungs or the heart are imaged. Most regularization methods are based on the assumption that the object is static during the measuring procedure. Hence, their application in the dynamic case often leads to serious motion artefacts in the reconstruction. Therefore, an algorithm has to take into account the temporal changes of the investigated object. In this paper, a reconstruction method that compensates for the motion of the object is derived for dynamic linear inverse problems. The algorithm is validated at numerical examples from computerized tomography.