geodesic distances on a curved surface

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Gefen Livne
Gefen Livne 2021 年 5 月 30 日
コメント済み: darova 2021 年 5 月 31 日
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

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darova
darova 2021 年 5 月 30 日
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 件のコメント
Gefen Livne
Gefen Livne 2021 年 5 月 31 日
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 2021 年 5 月 31 日
See this
[x,y] = meshgrid(-5:5);
D = hypot(x,y);
surf(x,y,-D)

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