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.
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页码：326 / 368
页数：42
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