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translation matrix 2d image

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computerwork

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hello,
how rotation of 2d work
as image are store in matrix form xXHLh.png
 

This is not a matrix rotation operator, but it just perform an axis offset of tx and ty respectively for X and Y. The 2D rotation operator has the sine and cosine functions there.
 
hi
but we will put x and y value of matrix one by one?
 

If you performs the above matricial operation, it would result in:

Code:
x' = x + t[SUB]x[/SUB]
y' = y + t[SUB]y[/SUB]

It is somewhat intuitive to deduce that this equation describes the shift of the original <x,y> coordinates to a new position <(x+tx),(y+ty)>, invariant is scale or orientation, which reinforce the statement that it is not a "2D rotation" operation as you supposed in the 1st post of this thread.

hello,
how rotation of 2d work
 
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