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Definition of Verticality of Geometric Features

Posted: Thu Apr 21, 2022 2:52 am
by sunzheng
Hello all,

There is a very userful tool in CloudCompare for point cloud computation: Geometric features. The geometric features include Roughness, Linearity, Planatiry, etc. And I find there mathmatical equations in paper such as the one below:

GEOMETRIC FEATURES ANALYSIS FOR THE CLASSIFICATION OF CULTURAL HERITAGE POINT CLOUDS

In the paper above, "Verticality" is denoted as V = 1 - nz, but I donot understand the meaning of "n" and "z" in this equation.

Do you have any ideas? Thank you.

Zheng

Re: Definition of Verticality of Geometric Features

Posted: Thu Apr 21, 2022 2:57 pm
by daniel
I think it's simply the 'z' component of the normal vector? (and we are speaking about the normal vector of the locally 'least squares' fitted plane)

Re: Definition of Verticality of Geometric Features

Posted: Fri Apr 22, 2022 12:48 pm
by sunzheng
Thank you Daniel!