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Orientation documentation

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Christophe Alexandre 2008-09-26 14:07:10 +00:00
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hurricane/doc/hurricane/Transformation.dox
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@ -21,40 +21,83 @@
/*! \class Transformation::Orientation
* This enumeration defines the orientation associated to a
* transformation object.
* <TABLE><CAPTION>Orientation codes and associated transformation matrix</CAPTION>
* <TR>Name Aspect Code Signification a b c d</TR>
* <TR>
* <TD>ID</TD><TD><img src="gif/id.gif"></TD><TD>0</TD><TD>Identity</TD>
* <TD>1</TD><TD>0</TD><TD>0</TD><TD>1</TD>
* </TR>
* <TR>
* <TD>R1</TD><TD><img src="gif/r1.gif"></TD><TD>1</TD><TD>Simple rotation (90°)</TD>
* <TD>0</TD><TD>-1</TD><TD>1</TD><TD>0</TD>
* </TR>
* slots: R2 <img
* src='./gif/r2.gif'> 2 Double rotation (180°)
* &nbsp;&nbsp;-1&nbsp;&nbsp 0 0 &nbsp;&nbsp;-1&nbsp;&nbsp
* slots: R3 <img src='./gif/r3.gif'> 3 Triple rotation (270°) 0
* 1 &nbsp;&nbsp;-1&nbsp;&nbsp 0 slots: MX <img
* src='./gif/mx.gif'> 4 Horizontal symetry (Miror X)
* &nbsp;&nbsp;-1&nbsp;&nbsp 0 0 1 slots: XR <img
* src='./gif/xr.gif'> 5 Horizontal symetry followed by a 90°
* rotation 0 &nbsp;&nbsp;-1&nbsp;&nbsp
* &nbsp;&nbsp;-1&nbsp;&nbsp 0 slots: MY <img
* src='./gif/my.gif'> 6 Vertical symetry (Miror Y) 1 0 0
* &nbsp;&nbsp;-1&nbsp;&nbsp slots: YR <img src='./gif/yr.gif'>
* 7 Vertical symetry followed by a 90° rotation 0 1 1 0 To each
* orientation corresponds a 2x2 matrix whose coefficients are
* named a and b for the first line and c and d for the second
* one.
* </TABLE>
* This enumeration defines the orientation associated to a
* transformation object.
* <TABLE>
* <CAPTION>Orientation codes and associated transformation matrix</CAPTION>
* <TR>
* <TD>Name</TD><TD>Aspect</TD><TD>Code</TD><TD>Signification</TD><TD>a</TD><TD>b</TD><TD>c</TD><TD>d</TD>
* </TR>
* <TR>
* <TD>ID</TD>
* <TD>
* \image html id.gif
* </TD>
* <TD>0</TD><TD>Identity</TD>
* <TD>1</TD><TD>0</TD><TD>0</TD><TD>1</TD>
* </TR>
* <TR>
* <TD>R1</TD>
* <TD>
* \image html r1.gif
* </TD>
* <TD>1</TD><TD>Simple rotation (90°)</TD>
* <TD>0</TD><TD>-1</TD><TD>1</TD><TD>0</TD>
* </TR>
* <TR>
* <TD>R2</TD>
* <TD>
* \image html r2.gif
* </TD>
* <TD>2</TD><TD>Double rotation (180°)</TD>
* <TD>-1</TD><TD>0</TD><TD>0</TD><TD>-1</TD>
* </TR>
* <TR>
* <TD>R3</TD>
* <TD>
* \image html r3.gif
* </TD>
* <TD>3</TD><TD>Triple rotation (270°)</TD>
* <TD>0</TD><TD>1</TD><TD>-1</TD><TD>0</TD>
* </TR>
* <TR>
* <TD>MX</TD>
* <TD>
* \image html mx.gif
* </TD>
* <TD>4</TD><TD>Horizontal symetry (Mirror X)</TD>
* <TD>-1</TD><TD>0</TD><TD>0</TD><TD>1</TD>
* </TR>
* <TR>
* <TD>XR</TD>
* <TD>
* \image html xr.gif
* </TD>
* <TD>5</TD><TD>Horizontal symetry followed by a 90° rotation</TD>
* <TD>0</TD><TD>-1</TD><TD>-1</TD><TD>0</TD>
* </TR>
* <TR>
* <TD>MY</TD>
* <TD>
* \image html my.gif
* </TD>
* <TD>6</TD><TD>Vertical symetry (Mirror Y)</TD>
* <TD>1</TD><TD>0</TD><TD>0</TD><TD>-1</TD>
* </TR>
* <TR>
* <TD>YR</TD>
* <TD>
* \image html yr.gif
* </TD>
* <TD>7</TD><TD>Vertical symetry followed by a 90° rotation</TD>
* <TD>0</TD><TD>1</TD><TD>1</TD><TD>0</TD>
* </TR>
* </TABLE>
*
* The transformation formula is given by : x' = (a * x) + (b *
* y) + tx y' = (c * x) + (d * y) + ty Where x and y are the
* y) + tx y' = (c * x) + (d * y) + ty where x and y are the
* coordinates of any point, x' and y' the coordinates of the
* trasformed point, tx and ty the horizontal and vertical
* 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.
*