About the intersection of planes

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ivanotero76
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Joined: Wed Jan 18, 2017 11:24 am

About the intersection of planes

Post by ivanotero76 »

I review other topics but, I didn't find information about this:

What about intersect of planes (I am interesting to intersection of three planes).

First of all I will try to extrack planes from my point cloud.

Then I will try to get points.

The points that are the intersection of those planes for example in a square classroom. Calculate the 8 points.

Could you type me some links that talk about this?

Thanks and best regards.
daniel
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Re: About the intersection of planes

Post by daniel »

Well, CC will help you to fit the planes ont the point cloud... And that's about all ;)

You could of course sample points on one plane and then compute the distances to another plane to get the points that are close to 0 (approximately).

And for the maths there are many sites that will explain you how to compute the intersection between two planes (resulting in a line... or nothing). And then you can compute the intersection between the line and the third plane. It's generally full of degenerate cases so it's a little bit cumbersome.
Daniel, CloudCompare admin
ccadiou01
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Joined: Wed Jan 18, 2017 12:20 pm

Re: About the intersection of planes

Post by ccadiou01 »

ivanotero76 wrote:What about intersect of planes (I am interesting to intersection of three planes).

First of all I will try to extrack planes from my point cloud.

Then I will try to get points.
Hello,

You can use the RANSAC tool http://www.cloudcompare.org/doc/wiki/in ... n_(plugin) in order to extract the planes.
Then, export your plane in .dxf format.
plan.png
plan.png (44.01 KiB) Viewed 4616 times
Then, open your planes with Sketchup pro (if you have Sketchup pro of course). Sketchup allows you to compute the intersection of three planes.
If you can't see any intersection between the plans, you can make them bigger in Autocad before exporting them in Sketchup.
Planes_in_Autocad.png
Planes_in_Autocad.png (29.92 KiB) Viewed 4616 times
Indeed, the scale tool in Sketchup makes the planes bigger but it also modifies the orientation of the plane. You have a bigger plane, but it's not the same plane anymore. Autocad doesn't modify the orientation, only the size.

I only know this method, so I hope you have sketchup pro :p
daniel
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Re: About the intersection of planes

Post by daniel »

Interesting. You can now also extend the plane size in CC (with the latest versions). See the 'Edit > Plane > Edit' method (or right click on the plane entry in the DB tree).
Daniel, CloudCompare admin
ccadiou01
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Joined: Wed Jan 18, 2017 12:20 pm

Re: About the intersection of planes

Post by ccadiou01 »

daniel wrote:You can now also extend the plane size in CC (with the latest versions).
Version 2.9 alpha?
I have version 2.7.0. I don't really trust alpha and beta versions. But maybe I'm wrong.
A few weeks ago I had version 2.6.3 beta and this version crashed sometimes, maybe because of the size of my clouds. Now with version 2.7.0, I don't have any problems.
daniel
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Re: About the intersection of planes

Post by daniel »

The official version is now 2.8 (but for once 2.9.alpha is very good as it's mainly bugfixes of the 2.8 ;).

The 2.6.3 version is very old. 2.7 has more than 6 months.
Daniel, CloudCompare admin
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