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reference:ft_warp_apply [2018/08/23 14:43] (current)
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 +=====  FT_WARP_APPLY =====
 +Note that this reference documentation is identical to the help that is displayed in MATLAB when you type "help ft_warp_apply"​.
 +  <a href=/​reference/​ft_warp_apply><​font color=green>​FT_WARP_APPLY</​font></​a>​ performs a 3D linear or nonlinear transformation on the input
 +  coordinates,​ similar to those in AIR 3.08. You can find technical
 +  documentation on warping in general at http://​bishopw.loni.ucla.edu/​AIR3
 +  Use as
 +    [warped] = ft_warp_apply(M,​ input, method, tol)
 +  where
 +    M        vector or matrix with warping parameters
 +    input    Nx3 matrix with coordinates
 +    warped ​  Nx3 matrix with coordinates
 +    method ​  ​string describing the warping method
 +    tol      (optional) value determining the numerical precision of the
 +              output, to deal with numerical round off imprecisions due to
 +              the warping
 +  The methods '​nonlin0',​ '​nonlin2'​ ... '​nonlin5'​ specify a
 +  polynomial transformation. The size of the transformation matrix
 +  depends on the order of the warp
 +    zeroth order :  1 parameter ​ per coordinate (translation)
 +    first  order :  4 parameters per coordinate (total 12, affine)
 +    second order : 10 parameters per coordinate
 +    third  order : 20 parameters per coordinate
 +    fourth order : 35 parameters per coordinate
 +    fifth  order : 56 parameters per coordinate (total 168)
 +  The size of M should be 3xP, where P is the number of parameters
 +  per coordinate. Alternatively,​ you can specify the method to be
 +  '​nonlinear',​ where the order will be determined from the size of
 +  the matrix M.
 +  If the method '​homogeneous'​ is selected, the input matrix M should be
 +  a 4x4 homogenous transformation matrix.
 +  If the method '​sn2individual'​ or '​individual2sn'​ is selected, the input
 +  M should be a structure based on nonlinear (warping) normalisation parameters
 +  created by SPM8 for alignment between an individual structural MRI and the
 +  template MNI brain. ​ These options call private functions of the same name.
 +  M will have subfields like this:
 +      Affine: [4x4 double]
 +          Tr: [4-D double]
 +          VF: [1x1 struct]
 +          VG: [1x1 struct]
 +       ​flags:​ [1x1 struct]
 +  If any other method is selected, it is assumed that it specifies the name of an
 +  auxiliary function that will, when given the input parameter vector M, return an
 +  4x4 homogenous transformation matrix. Supplied functions are '​translate',​ '​rotate',​
 +  '​scale',​ '​rigidbody',​ '​globalrescale',​ '​traditional',​ '​affine',​ '​perspective',​
 +  '​quaternion'​.
 +  See also <a href=/​reference/​ft_warp_optim><​font color=green>​FT_WARP_OPTIM</​font></​a>,​ <a href=/​reference/​ft_warp_error><​font color=green>​FT_WARP_ERROR</​font></​a>​