I want to have a deeper insight into the implementation of jacobian determinant in itkGeometricJacobianDeterminantImageFilter.hxx, but I’m unable to find some theory which explains on what basis this code is implemented. It would be nice if someone could refer some books or literature on jacobian implementation, especially the method used here, the connection between triangular area and tetrahedral volume computation and jacobian determinant. It would be of a great help to me, if someone can direct me towards it.
You may be interested in this related Insight Journal Article:
Thank you Matt