Hi



Please help me to find relation between 2 coordinate sistem .
I need a program for this.




Thank you very much
iosif.daniel@gmail.com






1. Assume 'rotational' matrix called [R3] that is 3X3 having 9 unknowns to
be solved (ABCDEFGHI)

A B C
[R3]= D E F
G H I

2. Assume a translation matrix called T that is 3X1 having three unknowns PQR

U
T = V
W

3. You have measured 4 points P1, P2, P3, P4 in 2 coordinate systems M and N
P1 would have coordinates [P1M] and [P1N] in each of the coordinate systems
where

P1Mx
[P1M]= P1My
P1Mz

4. Now assume we are going from the M coordinate system to the N coordinate
system.

5. Now to generate the equations where we solve for the 12 unknowns we use
the equations

[R3][P1M] + T = [P1N]
[R3][P2M] + T = [P2N]
[R3][P3M] + T = [P3N]
[R3][P4M] + T = [P4N]

This generates 12 equations with 12 unknowns.

pointTo point (1).pdf
mathematics (34,752 bytes)