Hi All
I wonder could you tell me how Gaussian curvature values are computed at a vertex, i.e. Gauss_Bonnet scheme? Is there any way to vary the neighborhood over which the vertex curvature values are computed?
Thanks for your help,
Lisa Ronan
- - - - - - - - - - Research Associate Brain Mapping Unit Sir William Hardy Building Department of Psychiatry University of Cambridge
Hi Lisa,
we actually provide a discrete estimate using Gauss-Bonnet (Rudolph can give you the details), and a slightly larger-scale estimate by fitting a quadratic patch to each neighborhood (5mm on a side I think). The curvature then comes from the Hessian of the height function of that patch.
cheers, Bruce
On Fri, 26 Feb 2010, Lisa Ronan wrote:
Hi All
I wonder could you tell me how Gaussian curvature values are computed at a vertex, i.e. Gauss_Bonnet scheme? Is there any way to vary the neighborhood over which the vertex curvature values are computed?
Thanks for your help,
Lisa Ronan
Research Associate Brain Mapping Unit Sir William Hardy Building Department of Psychiatry University of Cambridge
Many thanks for that. Am I correct in thinking that the Gauss_Bonnet scheme is given by the "--discrete" option in mris_curvature_stats, while the latter option is given by the "--continuous" flag?
L
On Fri, Feb 26, 2010 at 1:46 PM, Bruce Fischl fischl@nmr.mgh.harvard.eduwrote:
Hi Lisa,
we actually provide a discrete estimate using Gauss-Bonnet (Rudolph can give you the details), and a slightly larger-scale estimate by fitting a quadratic patch to each neighborhood (5mm on a side I think). The curvature then comes from the Hessian of the height function of that patch.
cheers, Bruce
On Fri, 26 Feb 2010, Lisa Ronan wrote:
Hi All
I wonder could you tell me how Gaussian curvature values are computed at a vertex, i.e. Gauss_Bonnet scheme? Is there any way to vary the neighborhood over which the vertex curvature values are computed?
Thanks for your help,
Lisa Ronan
Research Associate Brain Mapping Unit Sir William Hardy Building Department of Psychiatry University of Cambridge
not sure about --continuous, Rudolph will know. The quadratic patch stuff is in mris_cuvature, but maybe also in mris_curvature_stats
On Fri, 26 Feb 2010, Lisa Ronan wrote:
Many thanks for that. Am I correct in thinking that the Gauss_Bonnet scheme is given by the "--discrete" option in mris_curvature_stats, while the latter option is given by the "--continuous" flag?
L
On Fri, Feb 26, 2010 at 1:46 PM, Bruce Fischl fischl@nmr.mgh.harvard.eduwrote:
Hi Lisa,
we actually provide a discrete estimate using Gauss-Bonnet (Rudolph can give you the details), and a slightly larger-scale estimate by fitting a quadratic patch to each neighborhood (5mm on a side I think). The curvature then comes from the Hessian of the height function of that patch.
cheers, Bruce
On Fri, 26 Feb 2010, Lisa Ronan wrote:
Hi All
I wonder could you tell me how Gaussian curvature values are computed at a vertex, i.e. Gauss_Bonnet scheme? Is there any way to vary the neighborhood over which the vertex curvature values are computed?
Thanks for your help,
Lisa Ronan
Research Associate Brain Mapping Unit Sir William Hardy Building Department of Psychiatry University of Cambridge
Yes -- that's exactly right. The '--discrete' is also the default so doesn't need to be specified. The '--continuous' uses the old curvature engine.
You will notice that each engine option results in slightly different curvature values.
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-----Original Message----- From: Lisa Ronan lisa.ronan@gmail.com Date: Fri, 26 Feb 2010 13:51:27 To: Bruce Fischlfischl@nmr.mgh.harvard.edu Cc: freesurfer@nmr.mgh.harvard.edu Subject: Re: [Freesurfer] Gaussian Curvature Calculation
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