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BUILT-IN MATHEMATICA SYMBOL
FindGeometricTransform
FindGeometricTransform[pts1, pts2]
finds a geometric transformation between two geometries 
and 
, returning the alignment error together with the transformation function.
Details and Options
- FindGeometricTransform returns an expression of the form
, where err is an estimate of the average alignment error, and trfun is a transformation function. The function trfun can be applied to the positions 
to align them with the positions 
. - The geometries
and 
can be given as lists of position coordinates or Mathematica graphics objects. - FindGeometricTransform[image1, image2] uses corresponding points between the two images to find the geometric transformation.
- FindGeometricTransform works with points in any dimensions as well as with built-in 2D and 3D graphics primitives.
- FindGeometricTransform takes a
option. By default, it automatically finds the most suitable geometric transformation for the given sets of positions. - Possible settings for the
option include: -
"Translation" translation only "Rigid" translation and rotation "Similarity" translation, rotation, and scaling "Affine" linear transformation and translation "Perspective" linear fractional transformation - FindGeometricTransform can take a Method option. The default setting is Method->Automatic, which chooses a suitable fitting method for calculating the transformation.
- Available fitting methods:
-
"Linear" linear solver based on SVD "RANSAC" random sample consensus method "FindFit" uses FindFit - With the setting
, some positions may be considered as outliers and may not be used to determine the geometric transformation.
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