Gaussian Curvature

Given a surface of point cloud data (x,y,z), the output is a matrix containing gaussian curvature.

Description

The input should be matrix containing points in (x,y,z). The output is the gaussian curvature at each point. The calculation is based on the first and second fundamental form. In order to calculate the k1 and k2, you need to use the first file 'mean curvature'.

• MATLAB release: MATLAB 6.1 (R12.1)

[Claude Gouédard]

Matlab is teaching elementary school students
not to use loops !
From a teaching point of vue, again, I propose to modify your function in this way.

[lala conde]

Thanks for your work.

[Daniel Claxton]

Thankyou for this code. I was just thinking of writing it myself and was pleased to see someone had already done it. As for Claude's comment, I don't think he is being fair or constructive. So, with that said, I have done a bit of optimization and vectorized your code. It seems to be running about 65 times faster... I'll post it soon

[ali samer]

its very good

[lin van]

what is z standing for

[Dr R P GUPTA]

Excellent

[S. D.]

Poor loopy code...

[Atul Kumar]

I am not able to run the code on point cloud data. Does x,y,z means three coordinates of the data or a meshgrid??

[Sokrates]

I cannot understand how can we estimate the curvature without knowing how the topology between these points is (triangle mesh, connectivity etc). Any help?

Thanks