Linearized form of the 09 parameter transformation model.

This program derives the symbolic expressions of the nine-parameter (9-P) transformation model in linearized form.

In the computation of the transformation parameters for the passage from one system to another, all global transformation models, such as Bursa-Wolf, Veis, and Molodensky-Badekas, can be applied in simplified or linearized form.

The 9-parameter transformation model is an extension of the 7-transformation model, where the single scale factor K is decomposed into three scale factors, Kx, Ky, and Kz, along the three axes X, Y, and Z.

This program implements the linearized form of the 9-parameter transformation model.(3 translations, 3 rotations, and 3 scale factors).

'NineP\_TransC'' uses the MATLAB Symbolic Math Toolbox to perform symbolic computations of the linearized form of the 09-parameter transformation model.

The main program allows the execution of four (1) (2) (3) (4) programs for the symbolic and numerical computation of the nine-parameter transformation model in its complex form (linearized to first order).

(1) Program 1: writing 1 of the 09 transformation model

(2) Program 2: writing 2 of the 09 transformation model

(3) Program 3: writing 3 of the 09 transformation model

(4) Program 4: Numerical Example and Application of the 09 transformation parameters .

This program uses an external function,'' func_Nine_Transformation_Parameters '' , to compute the symbolic

forms and numerical value of the nine-parameter transformation model.