How can I define custom image transformations to use in imwarp?

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With imwarp (which is recommended over imtransform), apparently only use one of these three geometric transformation objects: affine2d, projective2d or affine3d can be used. Is there no option for a custom geometric transformation which is created using the call:
T = maketform('custom',NDIMS_IN,NDIMS_OUT,FORWARD_FCN,INVERSE_FCN,TDATA);
What options one has to define custom image transformations in MATLAB?

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