[Insight-users] Question about NeighborhoodInnerProduct and AnisotropicDiffusionFunction

[Bing Jian]

Hi Yongqiang,

zhao yong qiang wrote:

> Hi all,
>
> When I read the classes of AnisotropicDiffusionFunction, I meet the 
> following problem:
>
> 1.       If I design another anisotropic diffusion function, It is 
> enough to change the method of ComputeUpdate(), is it right?
>
          I'm also interested in doing similar task, maybe we can help 
each other.

> 2.       Unlike the classes of levelsetfunction, the p.d.e according 
> to different level set methods is easy to find. However, in the 
> classes of AnisotropicDiffusionFunction, it is hard to find the 
> corresponding p.d.e, so how to find these corresponding p.d.e in the 
> files?
>
         You can find the PDE in 
DenseFiniteDifferenceImageFilter::ThreadedApplyUpdate()
         The general  PDE  is simply dI/dt  =  f(I), where f(I) depends.

> 3.       In the method ComputeUpdate(), it uses the 
> NeighborhoodInnerProduct. It made me puzzle and I cannot understand 
> the program. Can someone give me more detail explanation of this method?
>
         I figure it's just a way to implement the descrete differential 
operator, for me it's like
         to do a convolution with a stencil. 

> Thanks a lot!!!
>
>  
>
>  Regards,
>                             Zhao Yongqiang
>                             Dept. of Computer Science & Engineering
>                             Shanghai JiaoTong University
>                             Shanghai, China
>                             zhaoyq at cs.sjtu.edu.cn 
> <mailto:zhaoyq at cs.sjtu.edu.cn>
>
>  
>
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-- 
Best wishes,
Bing Jian
bjian at cise.ufl.edu