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arXiv 2101.03393math.OC
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弹性3D-2D图像配准

Elastic 3D-2D Image Registration

Paul Striewski, Benedikt Wirth

摘要:

我们提出了一种方法来非刚性地对准三维(3D)体积图像与二维(2D)平面图像表示的变形体积的投影。该应用程序来自生物学研究,其中记录活组织的2D活体显微镜视频,然后切除组织并进行更详细的3D体积显微镜检查。两个数据集的配准允许将时间(但2D)信息与更详细的空间3D信息相结合。我们的方法是变分的,并使用超弹性变形正则化,是适当的生物材料。作为特定特征,基于2D显微图像内的焦点模糊来估计平面外变形。通过使用由粗到细的优化策略和高阶最优化方法,该方法在计算上变得可行。

英文摘要:

We propose a method to non-rigidly align a three-dimensional (3D) volumetric image with a two-dimensional (2D) planar image representing a projection of the deformed volume. The application in mind comes from biological studies in which 2D intravital microscopy videos of living tissue are recorded, after which the tissue is excised and a more detailed 3D volume microscopy is performed. Coregistration of both data sets allows to combine the temporal (but 2D) information with more detailed spatial 3D information. Our approach is variational and uses a hyperelastic deformation regularization, as is appropriate for biological material. As a particular feature, the out of plane deformation is estimated based on the out of focus blur inside the 2D microscopy image. The approach becomes computationally feasible through the use of a coarse-to-fine optimization strategy and higher order optimization methods.

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