[Insight-users] muliple pahse Chan Vese, one partition totally shrink

[wlzhu]

The reason i use 3 pahese segmentation is the following two folds:

1. Explicitly impose constraints that 3 regions only. (for real situation,
for instance brain tissue segmentation, due to the bias field or other
artifacts, if you set 4 phases, you will get 4 segmented regions, unless you
input image is perfectly composed of 3 regions).
2. Introduce mutual competition for any two regions. (which is based on any
two region has a boundary(WM/GM, WM/CSV and GM/CSF).

I will send you the draft.



On Fri, Mar 26, 2010 at 2:44 AM, Baoyun Li <baoyun_li123 at yahoo.com> wrote:

> Hi, Wanlin:
>
> I looked your paper at google book. However, I am still not clear.
>
> I would like to following Chan vese multiphase scheme. My object may
> contain 4 segments or 3 segments. How to make the method having the
> flexibiltiy to deal with 2-4 segments? Does you method provide the
> flexibility to deal with varies number of phases?
>
> Also what numerical scheme are you used? Can you send me your paper?
>
> Thanks
>
> Baoyun
> --- On *Thu, 3/25/10, wlzhu <wanlinzhu at gmail.com>* wrote:
>
>
> From: wlzhu <wanlinzhu at gmail.com>
> Subject: Re: [Insight-users] muliple pahse Chan Vese, one partition totally
> shrink
> To: "Baoyun Li" <baoyun_li123 at yahoo.com>
> Cc: insight-users at itk.org
> Date: Thursday, March 25, 2010, 2:55 PM
>
>
> Hi, baoyun,
>     You may have a look at this paper.
>
> http://www.springerlink.com/content/q0186ju536h0gw6p/
>
> which proposed 3-phase level set brain tissue segmentation.
>
>
>
> On Thu, Mar 25, 2010 at 8:52 AM, Baoyun Li <baoyun_li123 at yahoo.com<http://us.mc1110.mail.yahoo.com/mc/compose?to=baoyun_li123@yahoo.com>
> > wrote:
>
>>   Dear All:
>>
>> I have a theoritical question about Chen Vese multiplse pahse leve set.
>>
>> I have two level set and the two level set can segment the image to 4
>> segments, then I can calculate the mean for each segments as following
>>
>> %c11 = mean (phi1>0 & phi2>0)
>> %c12 = mean (phi1>0 & phi2<0)
>> %c21 = mean (phi1<0 & phi2>0)
>> %c22 = mean (phi1<0 & phi2<0)
>>
>> How about if I only have three segments, let say segment (phi1<0 & phi2<0)
>> will finally shrink to zeros.
>>
>> Then how to I calcuate c22, and also what value of c22 I should use
>> to update leve set equation as shown below:
>>
>> ((u-c22)^2-(u-c12)^2)H(phi2).
>>
>> I saw somebody use the mininum number of the machine to replace c22, but I
>> could not imagine what will happen and why to do that.
>>
>> Thanks
>> Baoyun
>>
>>
>>
>>
>>
>>
>>
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