[Insight-users] Diffusion

[Einstein, Daniel R]

Thanks for the reply Zach,

Looking at the Gradient Anisotropic Diffusion filter, it is not
immediately obvious to me how one might specify a single source pixel.
Thoughts?

Dan


Daniel R Einstein, PhD
Biological Monitoring and Modeling
Pacific Northwest National Laboratory
P.O. Box 999; MSIN P7-58
Richland, WA 99352
Tel: 509/ 376-2924
Fax: 509/376-9064
daniel.einstein at pnl.gov


-----Original Message-----
From: Zachary Pincus [mailto:zpincus at stanford.edu] 
Sent: Saturday, November 05, 2005 4:45 PM
To: Einstein, Daniel R
Cc: insight-users at itk.org
Subject: Re: [Insight-users] Diffusion

You'll probably want to look at the implementation for the Gradient
Anisotropic Diffusion filter (http://www.itk.org/Doxygen/html/
classitk_1_1GradientAnisotropicDiffusionImageFilter.html ). Given your
description of your needs, it sounds like you've read Perona and Malik's
original paper on anisotropic diffusion; this class basically implements
that.

Since what you're describing is a not-too-different sort of anisotropic
diffusion,  I suspect that this class could be simply modified for your
needs.

Zach

On Nov 5, 2005, at 2:34 PM, Einstein, Daniel R wrote:

>
> Hello,
>
> I would like to something familiar but with a twist. Specifically, I 
> would like to compute the diffusion equation (heat equation) on a 
> binary image. Here's the twist. Say black is outside and white is 
> inside. I would like to treat the black-white border as a reflective 
> boundary so that all of the calculation occurs in the white zone. Then

> I would like to iteratively pick one of the white voxels as a source 
> and run the diffusion equation on the domain and save the resulting 
> field. For example, if I pick a very interior voxel, the resulting 
> field will be roughly spherical. If I pick a boundary voxel the field 
> will be biased away form the boundary. I am not very familiar with 
> lower level ITK classes. Any advise to get me off on the right track 
> would be greatly appreciated.
>
> Dan
>
>
> Daniel R Einstein, PhD
> Biological Monitoring and Modeling
> Pacific Northwest National Laboratory
> P.O. Box 999; MSIN P7-58
> Richland, WA 99352
> Tel: 509/ 376-2924
> Fax: 509/376-9064
> daniel.einstein at pnl.gov
>
>
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