Re: Johnson-Mehl process anyone?

Posted by Gabriel Landini on
URL: http://imagej.273.s1.nabble.com/Johnson-Mehl-process-anyone-tp3693473p3693474.html

On Wednesday 04 March 2009 18:07:43 Cihat wrote:
> After you have all of your seed lines, you can intersect them with each
> other and the boundaries of the plane as well mathematically and find
> the points of intersection. For a given line, you could list the t
> values for each intersection point and choose the smallest one. If your
> seed line is growing in one direction, the point (x0,y0) should be the
> fixed point which is on the non-growing side [so that your t values will
> always be positive]. If it is growing in both directions, then the
> stopping t value in the list will be the one with the smallest absolute
> value.

@ Cihat:
Thank you, Cihat for the suggestion.
The problem is (i think) that for a particular seed, the nearest intersection
point to any of all other possible lines is not necessarily the first
encountered. The seed of the intersected line could be very far away from the
intersecting line (which could be close).

@ Michael:
> if the lines keep their width and don't stop, I guess that you would  
> simply have the 1D case of Johnson-Mehl-Avrami-Kolmogorov growth (aka  
> Avrami equation, Kolmogorov-Johnson-Mehl-Avrami, KJMA, JMAK, ...).

Thanks! so this has a name (or rather several :-) ). Interesting that I still
cannot find through google an image similar to what I am imagining this would
look like (something like a broken glass).

Thank you again. I will think a bit more about this.

Cheers

Gabriel