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geodesic distances on a curved surface

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Hi,
I have a curved surface and I want to calculate the geodesic distances from its boundaries.
the surface and boundary matrices are attached
appreciate your help.
Thanks,
Gefen

Accepted Answer

darova
darova on 30 May 2021
Here is an example
[x,y,z] = peaks(20); % surface
% curve coordinates
x1 = linspace(-3,2,20);
y1 = linspace(-1,1,20);
z1 = interp2(x,y,z,x1,y1);
surf(x,y,z,'edgecolor',[1 1 1]*0.8)
line(x1,y1,z1,'color','red','linewidth',2)
% calculate curve length
L = sum(sqrt(diff(x1).^2+diff(y1).^2+diff(z1).^2))
L = 11.7772
  2 Comments
Gefen Livne
Gefen Livne on 31 May 2021
Hi,
Thank you for your help. I need to calculate the entire geodesic distances matrix from the object's boundary and not from the matrix boundaries.
something similar to the matrix Im attaching below- the 2D projected distances from the boundary
appriciate your help,
Gefen
darova
darova on 31 May 2021
See this
[x,y] = meshgrid(-5:5);
D = hypot(x,y);
surf(x,y,-D)

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