Hello Holger,

we ran into the same problem some time ago - with the assumption of 
linearity it's totally fine to linear 'distort' the image in Gwyddion 
based on the measured lateral drift velocities. We calculated the 
necessary coefficients for Gwyddion in [J. Vac. Sci. Technol. B 28 
(2010) C4E31], Eq 28 to 31. (Sorry for the house advertising)

Good luck,
Philipp

David Nečas (Yeti) schrieb:
> On Thu, Dec 06, 2012 at 03:32:15PM -0200, holgermw wrote:
>> Sorry, i was not explaining well. Actually X and X' should be vectors. X 
>> describes a vector for each pixel of the original image and X' a vector 
>> after the drift compensation, while the vector Vd*t is moving the image 
>> opposite to the direction of the drift. The absolute value of the 
>> movement is depending on the time t, which depends on the columns, lines 
>> and scan velocity.
> 
> Then I would say you need the inverse transformation, i.e. specify how
> to calculate X from X', to compensate the drift using Polynomial
> Distortion.
> 
>> For me seems that this transformation and the reverse transformation 
>> should both be possible, but maybe i did not understand you well.
> 
> They should be both possible for physically meaningful transformations
> (more or less).
> 
> But you can enter arbitrary polynomials (up to some degree) and these
> are not invertible in general.
> 
>> Maybe i also do things too complicated. How do you usually compensate a 
>> linear drift from an spm image? Sorry for asking so basic question.
> 
> If you cannot use Compensate Drift that attempts to compensate drift in
> the direction of the fast axis (the most common problem) by correlating
> neighbour lines then general polynomial distortion is probably the only
> other possibility Gwyddion offers.
> 
> Regards,
> 
> Yeti
> 
> 
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