geodesic distances on a curved surface

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

Answer 1

[darova]

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

[Gefen Livne]

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]

See this

[x,y] = meshgrid(-5:5);
D = hypot(x,y);
surf(x,y,-D)