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longest inscribed lines?

Posted by Michael Schmid on Jul 17, 2009; 10:49am
URL: http://imagej.273.s1.nabble.com/longest-inscribed-lines-tp3690610.html

Hi everyone,

maybe someone of you has a solution for the following problem:
I have images of elongated martensitic grains, e.g.:
   http://www.iap.tuwien.ac.at/~schmid/MartensiticGrains.png

I want to get some indication of the lengths of the grains to compare  
it with other images.
The Fourier transform is dominated by the grain widths, so it does  
not help.
Often, the grains are not separated but touch others, so caliper  
length (Feret's diameter) won't work either.

A possibility would be searching for the "longest inscribed lines",  
i.e., the longest straight lines that fit into the foreground of the  
image, or even better, the longest line with a limited curvature (to  
follow slightly curved grains). Does anyone know about a plugin or  
some other transform/method that could do this?

Thank you,

Michael