[vtkusers] Best fitting plane....

[Andres Barrera]

I just want to thank Goodwin and Malcolm for their help. I also found 
usefull info for my specific problem in comments posted by Leo van Ruijven 
(as Malcom said) and Rasmus Reinhold Paulsen among others...

     Andres


>
>Hi,
>
>You can use...
>
>void vtkOBBTree::ComputeOBB  (
>   vtkPoints *pts,
>   float    corner[3],
>   float    max[3],
>   float    mid[3],
>   float    min[3],
>   float    size[3]
>  )
>
>...to do what Malcolm suggests below. max[3] and mid[3] are in plane,
>and min[3] is the plane normal. You can use the mean of the points to be
>the plane origin.
>
>Hth,
>
>Goodwin
>
>
>From: "Malcolm Drummond" <malcolm at geovision.co.za>
>To: "vtkusers" <vtkusers at vtk.org>
>Subject: Re: [vtkusers] Best fitting plane....
>Date: Thu, 25 Mar 2004 12:09:18 +0200
>Organization: GeoVision cc
>
>Hi Andres
>
>Leo van Ruijven posted a response to a similar question some time back
>describing an eigenvector method.
>
>For every x,y,z calculate products xx,xy,xz,yy,yz,zz. Put sums of
>products in 3*3 matrix (ie. sxx,sxy,sxz;sxy,syy,syz;sxz,syz,szz) which
>now represents an ellipsoid bounding your point-set. Use vtkMath to
>calculate the eigenvectors and eigenvalues. The two largest values are
>in the plane, the smallest is normal to the plane.
>
>Let me know if you have any problems, I used this method recently and
>could dig up some demo code if you need it.
>
>HTH
>Malcolm
>
>----- Original Message -----
>From: "Andres Barrera" <andresba at hotmail.com>
>To: <vtkusers at vtk.org>
>Sent: Wednesday, March 24, 2004 7:06 PM
>Subject: [vtkusers] Best fitting plane....
>
>
> > Dear list,
> >
> > On Fri, 22 Mar 2002 16:39:55 +0100, Anner Adrian wrote:
> >
> > >>Hello,
> > >>
> > >>is in vtk a function to find the best fit for a plane with n-points?
>
> > >>I have n-points and now I want place a vtkPlaneSource so that the
> > >>distance from the plane to the points is minimal.
> >
> > I need to solve a similar problem now, but I could find any answer to
> > that in the User's List archives.
> >
> > Is there any defined way of calculating the best fitting plane through
>
> > a series of points in vtk?
> >
> >    Thank you in advance
> >
> >          Andres
> >
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