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==Deformable templates in computational anatomy== {{Further|Computational anatomy|Group actions in computational anatomy}} Template matching is a central tool in [[computational anatomy]] (CA). In this field, a [[Computational anatomy#The deformable template orbit model of computational anatomy|deformable template model]] is used to model the space of human anatomies and their [[Orbit (control theory)|orbits]] under the [[Group (mathematics)|group]] of [[Diffeomorphism|diffeomorphisms]], functions which smoothly deform an object.<ref>{{cite journal |last1=Christensen |first1=G.E. |last2=Rabbitt |first2=R.D. |last3=Miller |first3=M.I. |date=October 1996 |title=Deformable template model using large deformation kinematics |journal=IEEE Transactions on Image Processing |volume=5 |issue=10 |pages=1435β1447 |doi=10.1109/83.536892 |pmid=18290061}}</ref> Template matching arises as an approach to finding the unknown diffeomorphism that acts on a template image to match the target image. Template matching algorithms in CA have come to be called [[large deformation diffeomorphic metric mapping|large deformation diffeomorphic metric mappings]] (LDDMMs). Currently, there are LDDMM template matching algorithms for matching anatomical [[Landmark point|landmark points]], [[Curve|curves]], [[Surface (topology)|surfaces]], volumes.
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