Convert 3D polygon into homogeneous matrix
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Hi. I have defined a 3D polygon creating a vertice and a face matrix to use the function Patch. Now i would like to know: how do i transform my 3D polygon in an homogeneous matrix.
Any clues ?
Thanks for the help.
2 comentarios
Walter Roberson
el 13 de Oct. de 2012
What would the homogenous matrix consist of? For example are you looking to render it into a matrix? If so what value do you want at each location, taking into account that the polygon would in general be colored ?
João Viveiros
el 13 de Oct. de 2012
Editada: Walter Roberson
el 13 de Oct. de 2012
Respuesta aceptada
Walter Roberson
el 13 de Oct. de 2012
The matrix "vert" in your code is your homogenous matrix for your purposes described in your comment.
Más respuestas (2)
Matt J
el 13 de Oct. de 2012
Couldn't you just transform all of the vertices and recreate the patch? E.g.,
vert_translated=bsxfun(@plus, vert, [3,0,0]);
P=patch('Faces',faces,'Vertices',vert_translated,'FaceColor','r');
Note that invertible linear/affine transformations don't change the faces.
Matt J
el 13 de Oct. de 2012
Instead of using PATCH, you could also consider using these 2 FEX files,
So first, this willl let you obtain your polyhedron as a set of inequalities A*x<=b
[A,b]=lcon2vert(vert);
Now you can transform the polyhedron as you like by appropriately transforming A and b. In the case of your translation, this would be
Anew=A;
bnew=b-A*[3;0;0];
Finally, you can plot using the plotregion() tool
plotregion(-Anew,-bnew);
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