[Insight-users] How to get equivalent output from RecursiveGaussian and DiscreteGaussian filters?
Parag Chandra
pchandra at radonc . unc . edu
Thu, 22 May 2003 16:43:25 -0400
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Hi Luis,
Thanks for the suggestion, but I am already enabling the
NormalizeAcrossScale flag. Maybe an example would help. I've attached a
small MetaImage, and when I blur it with a sigma of 0.0417, the Discrete
filter gives a height of 1 in the result, while the Recursive version =
gives
a height of 2.65. Below is the guts of the code for the Discrete filter:
DBlurFilterType::Pointer dBlur =3D DBlurFilterType::New();
variance[0] =3D pow((sigma / imageXSpacing), 2);
variance[1] =3D pow((sigma / imageYSpacing), 2);
dBlur->SetVariance(variance);
dBlur->SetInput(reader->GetOutput());
dBlur->Update();
And here is the code for the Recursive filter:
RBlurFilterType::Pointer rBlurX =3D RBlurFilterType::New();
rBlurX->SetSigma(sigma);
rBlurX->SetInput(reader->GetOutput());
rBlurX->SetNormalizeAcrossScale(true);
rBlurX->SetDirection(0);
RBlurFilterType::Pointer rBlurY =3D RBlurFilterType::New();
rBlurY->SetSigma(sigma);
rBlurY->SetInput(rBlurX->GetOutput());
rBlurY->SetNormalizeAcrossScale(true);
rBlurY->SetDirection(1);
rBlurY->Update();
I checked the changes in the updated Discrete filter that Bill was =
talking
about. It's just doing the (sigma / spacing) step internal to the =
filter, so
the net result is the same as using the 1.2.0 version of the filter and
doing the division manually, as I have done above. If you have the time,
please let me know if you are able to try out this simple example and =
what
results you got. Thanks.
Best regards,
-Parag
-----Original Message-----
From: Luis Ibanez [mailto:luis . ibanez at kitware . com]=20
Sent: Wednesday, May 21, 2003 6:06 PM
To: Parag Chandra
Cc: insight-users at public . kitware . com
Subject: Re: [Insight-users] How to get equivalent output from
RecursiveGaussian and DiscreteGaussian filters?
Hi Parag,
The RecursiveGaussianImageFilter has a method for selecting
Scale Space normalization.
void SetNormalizeAcrossScale( bool );
http://www . itk . org/Insight/Doxygen/html/classitk_1_1RecursiveGaussianImag=
eFi
lter.html#a1
In the normal convolution with a gaussian, the larger the Sigma, the=20
lower the maximum of the output. This is because convolving with a sigma
is like solving a diffusion equation. Basically melting the intensity
values of your image. Larger sigmas are equivalent to longer melting
times.
For scale space analysis this behavior is undesirable since it prevents
you from making intensity comparisons at differents scales.
You may want to enable this flag in order to obtain maxima that have
similar values when you change sigma.
BTW
Thanks for letting us know that the ITK_AUTOLOAD_PATH is working now.
Regards,
Luis
-------------------------------
Parag Chandra wrote:
> Hi all,
>=20
> I was using the DiscreteGaussianImageFilter for quite a while, until I
> started having problems with large sigma, at which point I switched =
over
to
> using the RecursiveGaussianImageFilter applied over each dimension of =
the
> image. I had thought that=20
>=20
> variance[0] =3D (sigma / xSpacing)^2
> variance[1] =3D (sigma / ySpacing)^2
> discreteGaussian->SetVariance(variance);
>=20
> would be equivalent to=20
>=20
> recursiveGaussian->SetOrder(GaussianFilterType::ZeroOrder);
> recursiveGaussian->SetNormalizeAcrossScale(true);=09
> recursiveGaussian->SetSigma(sigma)
>=20
> but that doesn't seem to be the case. The resulting images have the =
same
> shape, but the discrete version always has a maximum value of at most =
1,
> like I would expect. The recursive version has a maximum value that is
> sometimes very close to the discrete version's, but at other times is =
much
> greater. The disparity seems to be directly proportional to the image
> spacing and inversely proportional to the value of sigma (larger =
sigmas
> result in a smaller disparity for an identical image). Can someone =
explain
> how to use the Recursive filter to obtain results that would be more =
or
less
> identical to the results obtained with the Discrete filter? Do I need =
to
> somehow transform sigma? Should I apply the recursive filter to each
> dimension independently and then sum the results, or should I apply =
the
> recursive filter to the input image along the x dimension, and then =
apply
it
> again to the result of that along the y dimension? Thanks.
>=20
> By the way, Bill and Luis, I appreciate you looking into the problems =
I
was
> having with ITK_AUTOLOAD_PATH. I've had success under both Linux and
> Windows, so I'm happy ;)
>=20
> Best regards,
> Parag Chandra
>=20
>=20
> _______________________________________________
> Insight-users mailing list
> Insight-users at public . kitware . com
> http://public . kitware . com/mailman/listinfo/insight-users
>=20
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------=_NextPart_000_000D_01C32081.43B548D0--