Morphological and Linear Scale Spaces for Fiber Enhancement in DW-MRI

被引：0

作者：

Remco Duits

Tom Dela Haije

Eric Creusen

Arpan Ghosh

机构：

[1] Eindhoven University of Technology,Department of Mathematics and Computer Science

[2] IST/e,Department of Biomedical Engineering

[3] Eindhoven University of Technology,undefined

[4] IST/e,undefined

来源：

Journal of Mathematical Imaging and Vision | 2013年 / 46卷

关键词：

Morphological scale spaces; Sub-Riemannian manifolds; Hamilton-Jacobi-Bellman equations; Viscosity solutions; Bellman processes; Diffusion-Weighted MRI; Diffusion Tensor Imaging;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider morphological and linear scale spaces on the space ℝ3⋊S2 of 3D positions and orientations naturally embedded in the group SE(3) of 3D rigid body movements. The general motivation for these (convection-)diffusions and erosions is to obtain crossing-preserving fiber enhancement on probability densities defined on the space of positions and orientations. The strength of these enhancements is that they are expressed in a moving frame of reference attached to fiber fragments, allowing us to diffuse along the fibers and to erode orthogonal to them.

引用

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页码：326 / 368

页数：42

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