Not having the correct transformation Matrix

[MeerssemanBastien]

Hi, Im trying to use your code for point cloud of small point (about 10 -20 points per pointscloud ) in order to test that i use a .xyz containing 20 points of the the 20 vertices of a dodecahedron (fixed point cloud). i created a second files of this one where i moved each X coordinate by ading +10 (movable point cloud) .
Im feeding the algorithm with this two files and the algorithm give me back this matrix :
H =
[ 0.930487 0.366326 0.000000 -9.831626]
[ -0.366326 0.930487 0.000000 0.130998]
[ -0.000000 -0.000000 1.000000 0.000000]
[ 0.000000 0.000000 0.000000 1.000000]
i saw on the README file that to move a point to the position of the fixed, i have to do this operation to get the movable point tof fit the fixed point ;
Xt = H*X
im doing so :
X =[ 10.57735027; 0.57735027 ;0.57735027 ; 1] coordinate of first point in the movable point cloud
H =
[ 0.930487 0.366326 0.000000 -9.831626]
[ -0.366326 0.930487 0.000000 0.130998]
[ -0.000000 -0.000000 1.000000 0.000000]
[ 0.000000 0.000000 0.000000 1.000000]

but when i'm trying it, im not recovering the correct point :
Xt=X*A
Xt=[0.2220
-3.2065
0.5774
1.0000]

and if i understand well i should get the coordinate of this :
xt =0.57735027 0.57735027 0.57735027 1 wich is the coordinate of the first point in the fixed point cloud

so im asking myself if the algorithm is working properly . or im not using it correctly

here is the two points cloud and some screenshot .
dode1.xyz (fixed pointcloud) :
0.57735027 0.57735027 0.57735027
0.57735027 0.57735027 -0.57735027
0.57735027 -0.57735027 0.57735027
0.57735027 -0.57735027 -0.57735027
-0.57735027 0.57735027 0.57735027
-0.57735027 0.57735027 -0.57735027
-0.57735027 -0.57735027 0.57735027
-0.57735027 -0.57735027 -0.57735027
0.35682209 0.93417236 0.00000000
-0.35682209 0.93417236 0.00000000
0.35682209 -0.93417236 0.00000000
-0.35682209 -0.93417236 0.00000000
0.93417236 0.00000000 0.35682209
0.93417236 0.00000000 -0.35682209
-0.93417236 0.00000000 0.35682209
-0.93417236 0.00000000 -0.35682209
0.00000000 0.35682209 0.93417236
0.00000000 -0.35682209 0.93417236
0.00000000 0.35682209 -0.93417236
0.00000000 -0.35682209 -0.93417236

dode2.xyz (movable pointcloud)
10.57735027 0.57735027 0.57735027
10.57735027 0.57735027 -0.57735027
10.57735027 -0.57735027 0.57735027
10.57735027 -0.57735027 -0.57735027
9,42264973 0.57735027 0.57735027
9,42264973 0.57735027 -0.57735027
9,42264973 -0.57735027 0.57735027
9,42264973 -0.57735027 -0.57735027
10.35682209 0.93417236 0.00000000
9,64317791 0.93417236 0.00000000
10.35682209 -0.93417236 0.00000000
9,64317791 -0.93417236 0.00000000
10.93417236 0.00000000 0.35682209
10.93417236 0.00000000 -0.35682209
9,06582764 0.00000000 0.35682209
9,06582764 0.00000000 -0.35682209
10.00000000 0.35682209 0.93417236
10.00000000 -0.35682209 0.93417236
10.00000000 0.35682209 -0.93417236
10.00000000 -0.35682209 -0.93417236

here is the image of the result of the multiplication of the matrix (i did on Matlab online )

and here the algorithm :

if you have any clue about it would help me !

[reox]

each X coordinate by adding +10 (movable point cloud) .

your desired matrix would look like this:

1  0  0 10
0  1  0  0
0  0  1  0
0  0  0  1

The matrix you got has a translation in x, y and z and a rotation.