[ITK] [ITK-users] How to Calculate Hessian Matrix from Gradient Image?

[Jakob Weiss]

Thank you a lot Matheus, this has been very helpful!

As to the question of using the Jacobian: Since the Hessian s the same as
the Jacobian of the Gradient, this just another equal formulation of the
same problem. I could not find any filter for computing the Jacobian on a
vector volume either, so not really a solution. For example [1] applies a
scheme to make these matrices symmetric.

Cheers,
J

[1] Goch, Caspar J., et al. "Liver vessel segmentation using gradient vector
flow." Bildverarbeitung für die Medizin 2011. Springer Berlin Heidelberg,
2011. 104-108.



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