Translate rotate and scale STL surfaces

I imported three STL files (3d) as patch data. I merged nodes. These objects can be plotted with faces and vertices. My next step is to rotate, translate and scale one surface to two surfaces based on vertices. Vizually, I know where should be insertion points of fitted surface to two surfaces.

What would be steps to perform these operations?

[Brice Kabore]

For translation

[V, F]=stlread("isopoison.stl"); %although the new stlread version gives a different structure
P=(8,0,0)% translate in x by 8
V = V+ P

For scaling

scale=2.0
V=V*scale% or V(:,1)=V(:,1)*scale

For rotatation you can use this function basically creating a rotation matrix that will be multiplied by V which contain your vertices indice is the axis, 1 for x axis 2 for y ...

function vertex = rotation(V, indice, angle)
%     [V, F]=stlread("isopoison.stl"); 
%     angle=-pi/2;
    Rz = [ cos(angle), -sin(angle), 0 ;
          sin(angle), cos(angle), 0 ;
    0, 0, 1 ];
    Ry = [ cos(angle), 0, sin(angle) ;
    0, 1, 0 ;
          -sin(angle), 0, cos(angle) ];
    Rx = [ 1, 0, 0 ;
    0, cos(angle), -sin(angle);
    0, sin(angle), cos(angle) ];
    
    if(indice==1)
           vertex = V*Rx;
    end
    if(indice==2)
           vertex = V*Ry;
    end
    if(indice==3)
           vertex = V*Rz;
    end
end 
  

Answer 1

[KSSV]

You need to know about geometric transformations...read here https://pages.mtu.edu/~shene/COURSES/cs3621/NOTES/geometry/geo-tran.html

[Nataliya Perevoshchikova]

Thank you KSSV.

Do you think it would be possibel to tranform geometric objects based on new coordinate system? What I mean by this is to create a new coordinate system of two geometrical objects (Wx, Wz, Wy) where Wx and Wx will be based on minimum distance between vertices from two geometris and max distance between vertices of one geometry, respectively. Wz will be multiplication of Wx and Wz. Same way define coordinate system for object which will be fitted. Somehow translate object to objects based on coordinate systems.

[KSSV]

It should be possible...