Algebraic Methods for Direct and Feature Based Registration of Diffusion Tensor Images

机译：直接和基于特征的扩散张量图像配准的代数方法

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We present an algebraic solution to both direct and feature-based registration of diffusion tensor images under various local deformation models. In the direct case, we show how to linearly recover a local deformation from the partial derivatives of the tensor using the so-called Diffusion Tensor Constancy Constraint, a generalization of the brightness constancy constraint to diffusion tensor data. In the feature-based case, we show that the tensor reorientation map can be found in closed form by exploiting the spectral properties of the rotation group. Given this map, solving for an affine deformation becomes a linear problem. We test our approach on synthetic, brain and heart diffusion tensor images.

机译：我们提出了在各种局部变形模型下直接和基于特征的扩散张量图像配准的代数解决方案。在直接情况下，我们展示了如何使用所谓的“扩散张量常数约束”（从亮度常数约束到扩散张量数据的推广）从张量的偏导数线性恢复局部变形。在基于特征的情况下，我们表明张量重取向图可以通过利用旋转组的光谱特性以闭合形式找到。给定该图，仿射变形的求解成为线性问题。我们在合成，脑和心脏扩散张量图像上测试了我们的方法。

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来源
《European Conference on Computer Vision(ECCV 2006) pt.3; 20060507-13; Graz(AT)》|2006年|P.514-525|共12页
会议地点 Graz(AT)
作者
Alvina Goh; Rene Vidal;
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Center for Imaging Science, Department of BME, Johns Hopkins University, 308B Clark Hall, 3400 N. Charles St., Baltimore, MD 21218, USA;

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原文格式 PDF
正文语种 eng
中图分类信息处理（信息加工）;
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专利

1. Diffusion tensor image registration using hybrid connectivity and tensor features [J] . WangQ., YapP.-T., WuG., Human brain mapping . 2014,第7期

机译：使用混合连接和张量特征的扩散张量图像配准
2. Diffusion tensor image registration using hybrid connectivity and tensor features [J] . WangQ., YapP.-T., WuG., Human brain mapping . 2014,第7期

机译：扩散张量图像配准使用混合连接和张量特征
3. A local fast marching-based diffusion tensor image registration algorithm by simultaneously considering spatial deformation and tensor orientation. [J] . Xue Z, Li H, Guo L, NeuroImage . 2010,第1期

机译：同时考虑空间变形和张量方向的基于局部快速行进的扩散张量图像配准算法。
4. Algebraic Methods for Direct and Feature Based Registration of Diffusion Tensor Images [C] . Alvina Goh, René Vidal European Conference on Computer Vision pt.3 . 2006

机译：基于直接和特征的扩散张量图像登记的代数方法
5. Multichannel large deformation diffeomorphic metric mapping and registration of diffusion tensor images. [D] . Ceritoglu, Can. 2008

机译：多通道大变形微变形度量映射和扩散张量图像配准。
6. Diffusion Tensor Image Registration Using Hybrid Connectivity and Tensor Features [O] . Qian Wang, Pew-Thian Yap, Guorong Wu, 2014

机译：使用混合连接和张量功能的扩散张量图像配准
7. Algebraic methods for direct and feature based registration of diffusion tensor images [O] . Alvina Goh 2006

机译：用于扩散张量图像的直接和基于特征的配准的代数方法

Algebraic Methods for Direct and Feature Based Registration of Diffusion Tensor Images

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