[Insight-users] GradientAnistropicDiffusionImageFilter
Samuel Rodríguez Bescos
srodrigu at gbt . tfo . upm . es
Wed, 21 May 2003 17:39:43 +0200
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Hi everybody!!!!
I have a question related to the anisotropic diffusion. In the =
itkSoftwareGuide It's said that the Smoothed Image is the solution to =
the heat equation. With g(x,y,t) the result of the convolution of the =
image with a Gaussian:
g(x,y,t) =3D G ( sqrt(2t)) * f (x,y )
with f (x,y) the original image. (pages 91 and 92)=20
is this fact related to Catt=E9 revision of the method of Perona and =
Malik in order to reduce the noise effects of the image?
Thanks in advance
Sam
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<DIV><FONT face=3DArial size=3D2>Hi everybody!!!!</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>I have a question related to the =
anisotropic=20
diffusion. In the itkSoftwareGuide It's said that the Smoothed =
Image=20
is the solution to the heat equation. With g(x,y,t) the result of the=20
convolution of the image with a Gaussian:</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>g(x,y,t) =3D G ( sqrt(2t)) * f (x,y =
)</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>with f (x,y) the original image. (pages =
91 and=20
92) </FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>is this fact related to Catt=E9 =
revision of the=20
method of Perona and Malik in order to reduce the noise effects of the=20
image?</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>Thanks in advance</FONT></DIV>
<DIV><FONT face=3DArial size=3D2></FONT> </DIV>
<DIV><FONT face=3DArial size=3D2>Sam</FONT></DIV></BODY></HTML>
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