Filter löschen
Filter löschen

calculate the normal of a 3D plane

24 Ansichten (letzte 30 Tage)
Alberto Acri
Alberto Acri am 16 Mai 2024 um 16:19
Bearbeitet: Torsten am 16 Mai 2024 um 19:39
Hi! I have a circular plane, whose coordinates of the points of the circumference are:
P = importdata("node_plane.mat");
plot3(P(:,1),P(:,2),P(:,3))
I would like to know if it is correct to calculate the normal of this plane in the following way:
N = cross(P(1,:) - P(2,:), P(3,:) - P(2,:));
N = N/norm(N);

Akzeptierte Antwort

Torsten
Torsten am 16 Mai 2024 um 17:19
Verschoben: Torsten am 16 Mai 2024 um 17:19
I would like to know if it is correct to calculate the normal of this plane in the following way:
N = cross(P(1,:) - P(2,:), P(3,:) - P(2,:));
N = N/norm(N);
If you are sure that all points lie in exactly one plane: yes, you can choose any three points and do as you did above.
If you first need to fit a plane to your data points: no.
  4 Kommentare
Alberto Acri
Alberto Acri am 16 Mai 2024 um 19:24
Okay, I am not very familiar with it. So the best normal that can be determined with the 'node_plane' points is the one indicated in your code with N? Correct?
Torsten
Torsten am 16 Mai 2024 um 19:30
Bearbeitet: Torsten am 16 Mai 2024 um 19:31
Yes, N is the normal and C is the centroid of your points, and the best-fit plane is N'*(x-C)' = 0.

Melden Sie sich an, um zu kommentieren.

Weitere Antworten (0)

Produkte


Version

R2021b

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by