mdreg.defo_jacobian_2d#

mdreg.defo_jacobian_2d(defo)[source]#

Calculate the Jacobian matrix and determinant from a 2D deformation field. Can process multi-slice images, but the actual deformation field/registration must be 2D.

Parameters:

defo (np.ndarray) – The deformation field to calculate the Jacobian from. Dimensions are expected in the order [x, y, z, d, t], where x, y, z are the spatial dimensions, d is the dimension of the deformation field (two for 2D registration), and t is the time/dynamic.

Returns:

  • jac_mat (np.ndarray) – The Jacobian matrix of the deformation field with dimensions [x, y, z, t]

  • jac_det (np.ndarray) – The determinant of the Jacobian matrix.