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Re: Stereo topography

Posted by LMAnovitz on Oct 13, 2009; 3:17pm
URL: http://imagej.273.s1.nabble.com/Stereo-topography-tp3690806p3690810.html

Gabriel
   just fyi, here are a couple of more recent articles on the same problem

Three-dimensional reconstruction of cleavage fracture surface for duplex stainless steel
T. Kuroda, K. Ikeuchi, K. Nakade, K. Inoue and Y. Kitagawa
Vacuum
Volume 65, Issues 3-4  , 27 May 2002, Pages 541-546

Reconstruction of surface topographies by scanning electron microscopy for application in fracture research
J. Stampfl1  , S. Scherer2  , M. Gruber2 and O. Kolednik
Applied Physics A: Materials Science & Processing
Volume 63, Number 4 / October, 1996

I think these may directly yield DEM's - I'm looking them over.  A Google search on

"digital elevations from scanning electron microscope"

Turns up quite a bit.
Hopefully I can find a plug-in that will do this (I have no experience at writing one)

--Larry


On 10/12/09 7:07 PM, "Gabriel Landini" <[hidden email]> wrote:

On Monday 12 October 2009 22:56:31 Anovitz, Lawrence {Larry} M. wrote:
>  1.  most importantly, do you have any idea how do I get the elevation map

I read a paper long ago on this. I think it is this one, but I cannot access
it from here:
http://www.mrs.org/s_mrs/bin.asp?CID=7589&DID=186904&DOC=FILE.PDF

>  2.  what's the best way to try the flooding ?
You do a 'cut' at certain height. So everything higher than a value is set to
the foreground value (island) and evertyhing lower is set to the background
(water).
Then, extract the edges and compute the box dimension.
One could do a heightmap with pixel values and then threshold it.
Actually this is an intersection of your object with a plane.
One might try different orientations of the cutting plane.

>  3.  are you sure the 3d dimension is D(2)+1 ?
I seem to remember that there is a theorem on this in Tamas Vicsek's book
Fractal Growth Phenomena. So one reduces 1 the dimension by intersecting the
3d structure with a 2d plane.
I just tried to find that theorem and found this instead:
Chemical Physics Letters.  Volume 433, Issues 1-3, 29 December 2006, Pages
248-252.
which seems to argue that the relation does not always hold for some objects.
(I have not read the whole paper, just the abstract).

>  Could it be (3/2)D(2), or  even not necessarily directly related ?
Where is 3/2 coming from? if the 2D dimension of the zero set (the section) is
1, (e.g. a plane intersected by another plane) in 3d this would mean D(3)=1.5
instead of 2.

>  4.  I agree wrt the limitations of  the stereo pairs.  I may be able to
>  improve this by making and combining  several stereo pairs at different
>  tilts.

Depends on the object. If too irregular I think you will not get all the
detail, but perhaps your specimens are not that complex.

Cheers

G.