Azzera filtri
Azzera filtri

How can I plot a 3D plane knowing its center point coordinates and its Normal

107 visualizzazioni (ultimi 30 giorni)
How can I plot a 3D plane knowing its center point coordinates and its Normal ?

Risposta accettata

Roger Stafford
Roger Stafford il 23 Giu 2016
Modificato: Roger Stafford il 23 Giu 2016
Using Dr. Siva’s notation with the point at (x1,y1,z1) and normal vector v = [a,b,c], (v should be a row vector,) you can plot a surface version of the plane with this:
w = null(v); % Find two orthonormal vectors which are orthogonal to v
[P,Q] = meshgrid(-50:50); % Provide a gridwork (you choose the size)
X = x1+w(1,1)*P+w(1,2)*Q; % Compute the corresponding cartesian coordinates
Y = y1+w(2,1)*P+w(2,2)*Q; % using the two vectors in w
Z = z1+w(3,1)*P+w(3,2)*Q;
surf(X,Y,Z)
  2 Commenti
Abeer Heikal
Abeer Heikal il 26 Giu 2016
Thanks Roger a lot. I tried it and it works perfectly. I have a small wonder though. For this normal and the center point there can be infinite number of 3D planes. I do have a Dip and Dip Direction info for my planes. Can you kindly advise how can I implement this extra info into your suggested Matlbab script to generate a unique 3D plane?
Roger Stafford
Roger Stafford il 27 Giu 2016
If I understand you correctly Abeer, I have to disagree with your statement that "there can be infinite number of 3D planes". For a 3D plane to have a given normal direction and to contain a given point makes that plane absolutely unique - no other such plane is possible. Remember, we are speaking of mathematically perfectly flat planes, not curved ones.

Accedi per commentare.

Più risposte (2)

KSSV
KSSV il 22 Giu 2016
You know a point (x1,y1,z1) and normal vector (a,b,c). Then equation of plane should be:
a(x-x1)+b(y-y1)+c(z-z1) = 0 ;
  1 Commento
Abeer Heikal
Abeer Heikal il 22 Giu 2016
Modificato: Abeer Heikal il 22 Giu 2016
Thanks Dr. Siva
I know this, but I don't know how to write it in Matlab since I m new to Matlab. I appreciate it if you can help me by any way.

Accedi per commentare.


Nitin Phadkule
Nitin Phadkule il 18 Set 2021
% ax+by+cz+d plane
% 3x+2y+6z+2 plane
y =linspace(-4,4,51);
a=3;b=2;c=6;d=2;
x =linspace(-4,4,51);
[y2,x2]=meshgrid(y ,x );
z2=(1/c).*(d+(a.*x2)+(b.*y2));% ax+by+cz+d plane
surf( x2,y2,z2 );

Tag

Community Treasure Hunt

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

Start Hunting!

Translated by