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Graphics > Image processing > Re: Fitting Int...
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Re: Fitting Intersecting Lines in 2D

by bite <anonimo.passante@[EMAIL PROTECTED] > Jun 29, 2008 at 02:34 PM

On 27 Giu, 19:51, PeterOut <MajorSetb...@[EMAIL PROTECTED]
> wrote:
> On Jun 27, 1:25 pm, Martin Leese <ple...@[EMAIL PROTECTED]
>
> wrote:
>
> > PeterOut wrote:
> > > If you have a set of points belonging to 2 or more intersecting
lines
> > > in 2D, what is the best way to fit the lines to the points.  Would
it
> > > be the Hough transform?
>
> > Is this a class assignment?  If so, say so.
> > If not, describe your problem (where do the
> > points come from).
>
> > --
> > Regards,
> > Martin Leese
> > E-mail: ple...@[EMAIL PROTECTED]
> > Web:http://members.tripod.com/martin_leese/
>
> No.  I finished with university cl***** 14 years ago.  For my
> particular problem, there are a number of reasons why I may not be
> more specific about the source.  I can say that they are fairly clean
> (as opposed to random) points on lines that intersect.  I would
> suspect the number of such lines is about 10 and there are roughly
> 5-10 points for each line.

I assume you are speaking of _straight_ lines.

I think you could use the Hough transform, with distance and angle as
parameters, to separate the points belonging to each line and get a
first approximation of the parameters.

Then if you need more precision you should fit straight lines to the
subsets you got. See eg David Alciatore, Rick Miranda, The Best Least-
Squares Line Fit, in Graphics Gems V for a method which minimizes the
normal squared distances.

You may also want to use a statistical method like Least Median of
Squares to get rid of possible outliers.
 




 4 Posts in Topic:
Fitting Intersecting Lines in 2D
PeterOut <MajorSetback  2008-06-27 08:30:08 
Re: Fitting Intersecting Lines in 2D
Martin Leese <please@[  2008-06-27 17:25:00 
Re: Fitting Intersecting Lines in 2D
PeterOut <MajorSetback  2008-06-27 10:51:47 
Re: Fitting Intersecting Lines in 2D
bite <anonimo.passante  2008-06-29 14:34:36 

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tan12V112 Fri Dec 5 1:02:53 CST 2008.