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| author | PROJ deploybot <proj.bot@proj.bot> | 2022-03-22 20:00:06 +0000 |
|---|---|---|
| committer | PROJ deploybot <proj.bot@proj.bot> | 2022-03-22 20:00:06 +0000 |
| commit | a3f43744feec86272fe532124679d3a013ef9a8c (patch) | |
| tree | 27e4198db6011e3097eb7bcfe7197684aba7583a /_sources/operations/transformations/affine.rst.txt | |
| download | PROJ-gh-pages.tar.gz PROJ-gh-pages.zip | |
update with results of commit https://github.com/OSGeo/PROJ/commit/53c07a8bd211b7aee4bc07a9c6726005504b7181gh-pages
Diffstat (limited to '_sources/operations/transformations/affine.rst.txt')
| -rw-r--r-- | _sources/operations/transformations/affine.rst.txt | 123 |
1 files changed, 123 insertions, 0 deletions
diff --git a/_sources/operations/transformations/affine.rst.txt b/_sources/operations/transformations/affine.rst.txt new file mode 100644 index 00000000..d2a4e26b --- /dev/null +++ b/_sources/operations/transformations/affine.rst.txt @@ -0,0 +1,123 @@ +.. _affine: + +================================================================================ +Affine transformation +================================================================================ + +.. versionadded:: 6.0.0 + +The affine transformation applies translation and scaling/rotation terms on the +x,y,z coordinates, and translation and scaling on the temporal coordinate. + ++---------------------+----------------------------------------------------------+ +| **Alias** | affine | ++---------------------+----------------------------------------------------------+ +| **Domain** | 4D | ++---------------------+----------------------------------------------------------+ +| **Input type** | XYZT | ++---------------------+----------------------------------------------------------+ +| **output type** | XYZT | ++---------------------+----------------------------------------------------------+ + +By default, the parameters are set for an identity transforms. The transformation +is reversible unless the determinant of the sji matrix is 0, or `tscale` is 0 + + +Parameters +################################################################################ + +Optional +------------------------------------------------------------------------------- + +.. option:: +xoff=<value> + + Offset in X. Default value: 0 + +.. option:: +yoff=<value> + + Offset in Y. Default value: 0 + +.. option:: +zoff=<value> + + Offset in Z. Default value: 0 + +.. option:: +toff=<value> + + Offset in T. Default value: 0 + +.. option:: +s11=<value> + + Rotation/scaling term. Default value: 1 + +.. option:: +s12=<value> + + Rotation/scaling term. Default value: 0 + +.. option:: +s13=<value> + + Rotation/scaling term. Default value: 0 + +.. option:: +s21=<value> + + Rotation/scaling term. Default value: 0 + +.. option:: +s22=<value> + + Rotation/scaling term. Default value: 1 + +.. option:: +s23=<value> + + Rotation/scaling term. Default value: 0 + +.. option:: +s31=<value> + + Rotation/scaling term. Default value: 0 + +.. option:: +s32=<value> + + Rotation/scaling term. Default value: 0 + +.. option:: +s33=<value> + + Rotation/scaling term. Default value: 1 + +.. option:: +tscale=<value> + + Time scaling term. Default value: 1 + + + +Mathematical description ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + +.. math:: + :label: formula + + \begin{align} + \begin{bmatrix} + X \\ + Y \\ + Z \\ + T \\ + \end{bmatrix}^{dest} = + \begin{bmatrix} + xoff \\ + yoff \\ + zoff \\ + toff \\ + \end{bmatrix} + + \begin{bmatrix} + s11 & s12 & s13 & 0 \\ + s21 & s22 & s23 & 0 \\ + s31 & s32 & s33 & 0 \\ + 0 & 0 & 0 & tscale \\ + \end{bmatrix} + \begin{bmatrix} + X \\ + Y \\ + Z \\ + T \\ + \end{bmatrix}^{source} + \end{align} + + |