Affintransformation

Top  Previous 

The Affintransformation can adapt compared with the Helmerttransformation still the relation width to length.

 

Given

 

yAP, i

xAP, i                Co-ordinates of the identical points in the old system

yNP, i

xNP, i                Co-ordinates of the identical points in the new system

yA

xA                Co-ordinates of a point in the old system (before the transformation)

n                Number of the identical points

 

In request

 

yN

xN                Co-ordinates of the point (yA, xA) after the transformation in the new system)

 

Calculation

 

The main focus in the old system

 

image5_455 image5_456

 

The main focus in the new system

 

image5_457 image5_458

 

The transformation constants a1 to a4.

 

an is the change of the graduation, o is the rotation.

 

image5_459

 

image5_460

image5_461

image5_462

image5_463

image5_464

image5_465