distance on a surface from its boundaries

Hi all!

Im trying to calculate the geodesic distances on a smoothed 3D surface from its boundaries. The surface and boundary are attached.

I tried msfm3d, and fast marching methods without any success.

Would appreciate your assistance.

Thanks,

Gefen

Answer 1

[Image Analyst]

bwdist() does that.

[Gefen Livne]

Thank you for your help.

I couldn't manage to get the desired result with this function, can you please attach a code that does that?

Im aimming to something similar to the distances in the attaced image.

thank you very much,

Gefen

Image ref. :

Geodesics in Heat: A New Approach to Computing Distance Based on Heat Flow. KEENAN CRANE, CLARISSE WEISCHEDEL and MAX WARDETZKY

[Image Analyst]

I'd need more than a 2-D rendering of a 3-D object. I'd need the actual volumetric 3-D array itself. Please attach it.

[Gefen Livne]

Probably I didn't explain myself properly, and the rabbit image I added confused more than helped. My object is a 2D rendering matrix of a curved plane or surface. So far I managed to calculate the projected 2D distances from the boundaries, by using msfm2d (I attached the projected 2D distances matrix). I need to calculate the 'real' 3D distances on the curved surface from its boundaries, with consideration of the height differences along the surface.

appriciate your help.

thanks, Gefen.

[Gefen Livne]

I need to compute the geodesic distance on the surface.

[Image Analyst]

I don't know how to do that. Perhaps one of the shortestpath functions.