Fractal Dimension: Minimum object size

Previous Topic Next Topic
 
classic Classic list List threaded Threaded
2 messages Options
Reply | Threaded
Open this post in threaded view
|

Fractal Dimension: Minimum object size

jumpfunky
Hi,

I'm wondering what is the minimum object size (in pixel) for the box
counting method using box sizes from x (standard value is 2) to y
(standard value is 64) to find a good estimate of the object's fractal
dimension.

Is there a way to calculate such a minimal size?

Cheers!
Thorsten

--
ImageJ mailing list: http://imagej.nih.gov/ij/list.html
Reply | Threaded
Open this post in threaded view
|

Re: Fractal Dimension: Minimum object size

Gabriel Landini
On Thursday 30 Jan 2014 18:34:34 you wrote:
> I'm wondering what is the minimum object size (in pixel) for the box
> counting method using box sizes from x (standard value is 2) to y
> (standard value is 64) to find a good estimate of the object's fractal
> dimension.
> Is there a way to calculate such a minimal size?

No, unfortunately. But you can investigate in your data which is the range of
values that make the log-log plot more or less straight.
My suggestion is not to use too small boxes unless you are measuring a
"constructed" mathematical fractal because you are playing at the limit of
image resolution in captured images.
Too large boxes have a similar problem: you are just measuring the object
size.

Maybe this review in JMicrosc would be useful as it deals with several of
these technical issues.

http://www.ncbi.nlm.nih.gov/pubmed/21118245

Cheers

Gabriel

--
ImageJ mailing list: http://imagej.nih.gov/ij/list.html