7 Parameter Transformation

[sling blade]

Hi,

I have a formula for coordinate conversion called the "Helmert seven parameter similarity transformation".

The formula can be seen here (around the middle of the page) titled Seven parameter transformation: http://www.linz.govt.nz/core/surveysyst ... index.html (sorry the link is to an image because this formula is very hard to draw/reproduce in a text editor)

I can find all of the values to plug into the formula, however I do not know how to enter this into a calculator to be able to solve it.

Can you please help explain how one enters this kind of formula into a calculator?

 

[stapel]

The formula can be seen here (around the middle of the page) titled Seven parameter transformation: http://www.linz.govt.nz/core/surveysyst ... index.html (sorry the link is to an image because this formula is very hard to draw/reproduce in a text editor)

Am I maybe looking at the wrong page...? Because the only thing I can find under the title provided is as follows:

[X_2]   [T_X]
[Y_2] = [T_Y] +
[Z_2]   [T_Z] 
                            [  1  +R_Z -R_Y][X_1]
  [1 + (delta-S)*(10^(-6))] [-R_Z   1  +R_X][Y_1]
                            [+R_Y -R_X   1 ][Z_1]

...which can also be formatting using forum tools, as:

. . . . .\(\displaystyle \left[\begin{array}{c}X_2\\Y_2\\Z_2\end{array}\right]\, =\,\left[\begin{array}{c}T_X\\T_Y\\T_Z\end{array}\right]\, +\, \left[1\, +\, \Delta_S \times 10^{-6}\right] \left[\begin{array}{ccc}1&+R_Z&-R_Y\\-R_Z&1&+R_X\\+R_Y&-R_X&1\end{array}\right] \left[\begin{array}{c}X_1\\Y_1\\Z_1\end{array}\right]\)

What "drawing" had you meant?

I do not know how to enter this into a calculator to be able to solve it.

The particular key-strokes necessary will vary with the calculator model used. Consult your owners manual for specifics. (If you have lost your manual, try downloading a copy from the manufacturer's web site.) If the manual has a chapter on matrices, this would probably be a good place to start.

Eliz.

 

[sling blade]

Hi,

Thanks for trying to help.

I was able to find the answer. I just didn't know how to enter a formula with 3 layers into my calculator. I see now where I should work on each layer by itself (if that make since).

Here is what I have:
x2 = Tx + (1 + Ds * 0.000001) * (1 * x1 + Rz * y1 - Ry * z1)
y2 = Ty + (1 + Ds * 0.000001) * (-Rz * x1 + 1 * y1 + Rx * z1)
z2 = Tz + (1 + Ds * 0.000001) * (Ry * x1 - Rx * y1 + 1 * z1)

Cheers