[Insight-users] How to compute the Hessian?

[Iván Macía]

Hi Rashed,

As an alternative you can have a look at my recently submitted paper

Generalized Computation of Gaussian Derivatives Using ITK
http://www.insight-journal.org/InsightJournalManager/publications.php?journa
lid=9

where I have implemented a Hessian computation based on discrete derivative
Gaussian kernels. 

In general it is slower (though I think more precise) than recursive
Gaussian computations but might be advantageous in the case you are
computing the Hessian in only a few points of the image (such as when
performing vessel tracking). The memory footprint is also much lower.

And if you like it it would be nice if you could make a review :)

Best regards

Iván Macía


-----Mensaje original-----
De: insight-users-bounces+imacia=vicomtech.org at itk.org
[mailto:insight-users-bounces+imacia=vicomtech.org at itk.org] En nombre de Dan
Mueller
Enviado el: viernes, 11 de enero de 2008 3:01
Para: rashedk
CC: insight-users at itk.org
Asunto: Re: [Insight-users] How to compute the Hessian?

Hi Rashed,

Have a look at itkHessianRecursiveGaussianImageFilter: it "computes
the Hessian matrix of an image by convolution with the Second and
Cross derivatives of a Gaussian."

You may also be interested in a paper on the Insight Journal by Luca
Antiga which provides easy to use implementations of both Frangi's and
Sato's "vesselness" filters, which utilise the Hessian matrix across
varying scales:
    http://insight-journal.org/midas/handle.php?handle=1926/576

HTH

Cheers, Dan


On 11/01/2008, rashedk <rashed.vtk at googlemail.com> wrote:
>
> Hi there,
>
> I am interested in finding ridges in intensity (for vessel detection). In
> order to do this I need to compute the Hessian. I couldn't a function or
> filter in ITK which computes the Hessian (although Curves3DExtraction
> somehow does it). Is there any?
>
> Thanks in advance,
>
> Rashed.
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