3.7 | 6 ratings Rate this file 60 downloads (last 30 days) File Size: 1002 Bytes File ID: #5229

Gaussian Curvature

11 Jun 2004 (Updated 15 Jun 2004)

No BSD License

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

File Information
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)

Tags for This File
Everyone's Tags	first fundamental form, gaussian curvature, mean curvature(2), second
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Comments and Ratings (8)
23 Jul 2004	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.
04 Mar 2005	lala conde	Thanks for your work.
22 Nov 2005	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
06 Mar 2007	ali samer	its very good
04 Apr 2007	lin van	what is z standing for
11 Jun 2007	Dr R P GUPTA	Excellent
07 Mar 2008	S. D.	Poor loopy code...
10 Jun 2009	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??

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Tag Activity for this File
Tag	Applied By	Date/Time
gaussian curvature	Ahmed Elnaggar	22 Oct 2008 07:23:30
mean curvature	Ahmed Elnaggar	22 Oct 2008 07:23:30
second	Ahmed Elnaggar	22 Oct 2008 07:23:31
first fundamental form	Ahmed Elnaggar	22 Oct 2008 07:23:31
mean curvature	Antti Niemistö	15 Jul 2009 14:41:50

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