Combining Image Reconstruction and Image Analysis with an Application to Two-Dimensional Tomography
Combining Image Reconstruction and Image Analysis with an Application to Two-Dimensional Tomography
复制标题
将图像重建和图像分析与二维断层扫描应用相结合
DOI：
10.1137/070700863
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
A. Louis
中科院分区：
文献类型：
--
作者：
A. Louis
根据测量数据重建图像的任务和对结果图像进行分析的任务或多或少是严格分开的。一组科学家通过对图像应用重建算法进行计算；另一个然后对这些图像进行操作以增强分析。以非系统方式将图像重建和图像分析结合起来的首次尝试被称为 Lambda 断层扫描或带有 $\ell_1$-范数或水平集方法的 Tikhonov-Phillips 方法。本文的目的是提供一个通用工具来结合这两个步骤；即，即使在重建步骤中，也会考虑未来的图像分析步骤，从而产生新的重建内核。这里我们集中讨论线性方法。作为一个实际的例子，我们考虑计算机断层扫描中的图像重建问题，然后进行边缘检测。我们计算新的重建内核并给出模拟结果。
The tasks of image reconstruction from measured data and the analysis of the resulting images are more or less strictly separated. One group of scientists computes by applying reconstruction algorithms to the images; the other then operates on these images to enhance the analysis. First attempts at combining image reconstruction and image analysis, in a nonsystematic way, are known as Lambda tomography or Tikhonov-Phillips methods with $\ell_1$-norms or with level-set methods. The aim of this paper is to provide a general tool to combine these two steps; i.e., even in the reconstruction step the future image analysis step is taken into account, leading to a new reconstruction kernel. Here we concentrate on linear methods. As a practical example we consider the image reconstruction problem in computerized tomography followed by an edge detection. We calculate a new reconstruction kernel and present results from simulations.