Mean Curvature

Calculate the Mean curvature of a given surface (x,y,z).

Description

The function calculates the mean curvature of a given point cloud data. The input is the coordinates matrix of x,y,z. The output is a matrix containing the mean curvature at each point.

• Acknowledgements: This submission has inspired the following:; Mean Curvature (Fast code)
• MATLAB release: MATLAB 6.1 (R12.1)

[Dan Barrett]

Thank you

[Matt Morris]

Passing a vector to the gradient() function will yield a vector solution. Lines 3-12 request a matrix solution from the gradient function. This will error off a 'Too many output arguments' error.

[Deepak Chittajallu]

Will, these two snippets of code for computing surface mean and gaussian curvatures, also work for raw arbitrary/triangular meshes where in the mesh topology information is given in the form of polygonal/triangular faces ?

what are the pre-conditions on the data for the two functions ?

It sounds to me that the two functions assume an isometric surface ?

Howisit possible to compute the mesh curvatures without any knowledge about the "neighborhood/mesh topology" information.

[pati aziz]

what is input should be? Whether it is in 1 matrix or 2 times matrix or 3 times matrix?

[mustafa yagci]

 

[Chuancai Liu]

 

[DR R P GUPTA GUPTA]

excellent

[mehdi ravanbakhsh]

Hi Ahmed,
Can you please let me know how I can use your code to calculate the curvature of a 2-D curve?
Thanks,Mehd

[Hasan Rai]