Thin-Plate Spline 

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 Control Points include the four corners. (11 Control Points all together)

Template (Floating Image) Target (Reference Image)
Control Points in Template Control Points in Target

The Deformation from Template to Target  and the grid images

Template Image Deformed Template
Grid Image Deformed Grid Image

The deformation from Target image to Template Image

Target Image Deformed Target Image
Target Grid Deformed Target Grid

12/06/2002