Definition of Verticality of Geometric Features

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sunzheng
Posts: 2
Joined: Thu Apr 21, 2022 2:44 am

Definition of Verticality of Geometric Features

Post 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
daniel
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Re: Definition of Verticality of Geometric Features

Post 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)
Daniel, CloudCompare admin
sunzheng
Posts: 2
Joined: Thu Apr 21, 2022 2:44 am

Re: Definition of Verticality of Geometric Features

Post by sunzheng »

Thank you Daniel!
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