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Is there a name for 2D transformation with the least squares adjustment having the following parameters:

shift_x, shift_y, scale.

Transformation does not use any rotation... Thanks for your help.

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    Do you mean an affine transformation? All transformations of the form you've mentioned are affine, though affine transformations can include rotations too.2011-08-19
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    I'm not aware of any exact term; I would just call it a composition of a translation and a scaling. Although if you consider "affine transformation", then "similarity transformation" would be more specific as it rules out shearing.2011-08-19
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    I wonder, if this transformation has the exact name (like Helmert...). It belongs to the group of affine transformations.2011-08-19

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Homothety, or homothetic transformation

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    See here: http://en.wikipedia.org/wiki/Homothety2011-08-19
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    Thanks... And greetings to Israel, just I am reading a book from Amos Oz :-).2011-08-19