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首页> 外文会议>Conference on Medical Imaging 2008: Imaging Processing; 20080217-19; San Diego,CA(US) >Bi-planar 2D-to-3D Registration in Fourier Domain for Stereoscopic X-Ray Motion Tracking
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Bi-planar 2D-to-3D Registration in Fourier Domain for Stereoscopic X-Ray Motion Tracking

机译：立体X射线运动跟踪的傅里叶域中的双平面2D到3D配准

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摘要

In this paper we present a new method to track bone movements in stereoscopic X-ray image series of the knee joint. The method is based on two different X-ray image sets: a rotational series of acquisitions of the still subject knee that allows the tomographic reconstruction of the three-dimensional volume (model), and a stereoscopic image series of orthogonal projections as the subject performs movements. Tracking the movements of bones throughout the stereoscopic image series means to determine, for each frame, the best pose of every moving element (bone) previously identified in the 3D reconstructed model. The quality of a pose is reflected in the similarity between its theoretical projections and the actual radiographs. We use direct Fourier reconstruction to approximate the three-dimensional volume of the knee joint. Then, to avoid the expensive computation of digitally rendered radiographs (DRR) for pose recovery, we develop a corollary to the 3-dimensional central-slice theorem and reformulate the tracking problem in the Fourier domain. Under the hypothesis of parallel X-ray beams, the heavy 2D-to-3D registration of projections in the signal domain is replaced by efficient slice-to-volume registration in the Fourier domain. Focusing on rotational movements, the translation-relevant phase information can be discarded and we only consider scalar Fourier amplitudes. The core of our motion tracking algorithm can be implemented as a classical frame-wise slice-to-volume registration task. Results on both synthetic and real images confirm the validity of our approach.
机译：在本文中，我们提出了一种在膝关节的X射线立体图像序列中跟踪骨骼运动的新方法。该方法基于两个不同的X射线图像集：静止对象膝盖的旋转采集序列，允许对三维体积（模型）进行断层摄影重建，以及对象执行时正交投影的立体图像序列动作。跟踪整个立体图像系列中骨骼的运动意味着对于每个帧，确定先前在3D重建模型中确定的每个运动元素（骨骼）的最佳姿势。姿势的质量反映在其理论预测与实际X射线照片之间的相似性。我们使用直接傅立叶重构来近似膝盖关节的三维体积。然后，为避免进行姿态恢复所需的数字化射线照相（DRR）的昂贵计算，我们对3维中心切片定理进行了推论，并在傅立叶域中重新制定了跟踪问题。在平行X射线束的假设下，信号域中投影的沉重2D到3D配准由傅立叶域中的有效切片到体积配准代替。着眼于旋转运动，可以舍弃与平移有关的相位信息，我们只考虑标量傅立叶振幅。我们的运动跟踪算法的核心可以实现为经典的逐帧切片到卷配准任务。合成图像和真实图像上的结果都证实了我们方法的有效性。

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