Surface Curvature

Vectorized surface curvature computation

Description

[K,H,P1,P2] = surfature(X,Y,Z) returns the gaussian curvature of a surface (K), mean curvature (H), and principal curvatures (P1,P2). The inputs (X,Y,Z) are 2D arrays corresponding to the surface being analyzed.

Example
[X,Y,Z] = peaks;
[K,H,P1,P2] = surfature(X,Y,Z);
surf(X,Y,Z,H,'facecolor','interp');
set(gca,'clim',[-1,1])

• MATLAB release: MATLAB 7 (R14)

[Tao Ye]

i've been trying to find code to perform some computational geometry tasks, this one is very much helpful. Thank you.

[mustafa yagci]

 

[Michael Girard]

COOL

[Giancanio Sileo]

Very good tool for curvature computation.

[ewe wewe]

 

[Su Ping]

cool, I'm looking for this

[krog babuz']

Hi, could you please specify what the 2D arrays for X,Y,Z actually are?

[Jason Zhang]

Cool, see how it works!

[Ted Teng]

By definition, H>0 for convex surface, so it seems negative Z corresponding to convex?

[Lucas Lorensi]

Excellent! Is there a way to compute principal directions?

[vinu arasu]

Could you please explain what is 2D arrays corresponding to the surface being analyzed??