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Numerical Schemes for Linear and Non-Linear Enhancement of DW-MRI 被引量:1
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作者 eric creusen Remco Duits +1 位作者 Anna Vilanova Luc Florack 《Numerical Mathematics(Theory,Methods and Applications)》 SCIE 2013年第1期138-168,共31页
We consider the linear and non-linear enhancement of diffusion weighted magnetic resonance images(DW-MRI)to use contextual information in denoising and inferring fiber crossings.We describe the space of DW-MRI images ... We consider the linear and non-linear enhancement of diffusion weighted magnetic resonance images(DW-MRI)to use contextual information in denoising and inferring fiber crossings.We describe the space of DW-MRI images in a moving frame of reference,attached to fiber fragments which allows for convection-diffusion along the fibers.Because of this approach,our method is naturally able to handle crossings in data.We will perform experiments showing the ability of the enhancement to infer information about crossing structures,even in diffusion tensor images(DTI)which are incapable of representing crossings themselves.We will present a novel non-linear enhancement technique which performs better than linear methods in areas around ventricles,thereby eliminating the need for additional preprocessing steps to segment out the ventricles.We pay special attention to the details of implementation of the various numeric schemes. 展开更多
关键词 DTI DW-MRI scale spaces finite differences CONVECTION-DIFFUSION adaptive diffusion Perona-Malik diffusion Lie groups
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