transformPlane3d

TRANSFORMPLANE3D Transform a 3D plane with a 3D affine transform.

   PLANE2 = transformPlane3d(PLANE, TRANS)

   Example
     p1 = [10 20 30];
     p2 = [30 40 50];
     p3 = [0 -10 -20];
     plane = createPlane(p1, p2, p3);
     rot = createRotationOx(p1, pi/6);
     plane2 = transformPlane3d(plane, rot);
     figure; hold on;
     axis([0 100 0 100 0 100]); view(3);
     drawPlane3d(plane, 'b');
     drawPlane3d(plane2, 'm');

   See also:
   lines3d, transforms3d, transformPoint3d, transformVector3d,
   transformLine3d

0001 function plane2 = transformPlane3d(plane, trans)
0002 %TRANSFORMPLANE3D Transform a 3D plane with a 3D affine transform.
0003 %
0004 %   PLANE2 = transformPlane3d(PLANE, TRANS)
0005 %
0006 %   Example
0007 %     p1 = [10 20 30];
0008 %     p2 = [30 40 50];
0009 %     p3 = [0 -10 -20];
0010 %     plane = createPlane(p1, p2, p3);
0011 %     rot = createRotationOx(p1, pi/6);
0012 %     plane2 = transformPlane3d(plane, rot);
0013 %     figure; hold on;
0014 %     axis([0 100 0 100 0 100]); view(3);
0015 %     drawPlane3d(plane, 'b');
0016 %     drawPlane3d(plane2, 'm');
0017 %
0018 %   See also:
0019 %   lines3d, transforms3d, transformPoint3d, transformVector3d,
0020 %   transformLine3d
0021 %
0022 
0023 % ------
0024 % Author: David Legland, oqilipo
0025 % e-mail: david.legland@inra.fr
0026 % Created: 2017-07-09
0027 % Copyright 2017 INRA - BIA PV Nantes - MIAJ Jouy-en-Josas.
0028 
0029 plane2 = [...
0030     transformPoint3d( plane(:,1:3), trans) ...  % transform origin point
0031     transformVector3d(plane(:,4:6), trans) ...  % transform 1st dir. vect.
0032     transformVector3d(plane(:,7:9), trans)];    % transform 2nd dir. vect.