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Is the movement of the cursor on the screen a result of graphical transformation?

I am occupying myself with image processing right now, to be specific, with geometrical transformation and I was wondering, if the movement of the mouse cursor on the screen, is a result of geometrical transformation which is being calculated by the operating system. If it is, then I guess that behind every movement of a graphical object on a screen there is a system which calculates the geometrical transformation. Is that right? And does someone maybe know what keywords to search for, to obtain more information about graphical transformation on eg computers, smartphones? Thanks in advance.

It is entirely system specific. On some systems, mouse cursor movement is done in hardware. On other systems, it is done by drawing operations triggered either by interrupt or poling.

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