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 OptionsDetails 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 , 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.

## ExamplesExamplesopen allclose all

### Basic Examples (2)Basic Examples (2)

Determine the spatial transformation between two sets of positions:

 Out[1]=

Find the similarity transformation between two sets of two points:

 Out[1]=