This enumeration defines the orientation associated to a transformation object.
| Identity | ||||||
| Simple rotation (90°) | ||||||
| Double rotation (180°) | ||||||
| Triple rotation (270°) | ||||||
| Horizontal symetry (Mirror X) | ||||||
| Horizontal symetry followed by a 90° rotation | ||||||
| Vertical symetry (Mirror Y) | ||||||
| Vertical symetry followed by a 90° rotation |
The transformation formula is given by:
![\[ \Large
\left \{
\begin{array}{r c l l l l l}
x' & = & (a \times x) & + & (b \times y) & + & tx \\
y' & = & (c \times x) & + & (d \times y) & + & ty
\end{array}
\right .
\]](form_2.png)
where x and y are the coordinates of any point, x' and y' the coordinates of the transformed point, tx and ty the horizontal and vertical components of the translation and where a, b, c and d are the coefficients of the matrix associated to the orientation.
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