[Insight-users] hough transform for hyperbola detection

[Luis Ibanez]

Hi Albert,

There is currently no specific filter for detecting hyperbolas.

However, at first sight, it seems to be a solvable problem.

The key to it, is to find a good parameterization of the
hyperbola.

Once you find one, you could reuse most of the code in
the existing Hough filter classes in ITK.


Are you hyperbolas expected to be in any position,
orientation and scale ?

One tempting option is to look at the reciprocation of
a circle on another circle:

http://en.wikipedia.org/wiki/Hyperbola#Reciprocation_of_a_circle

which renders a hyperbola.

It may be possible to use this mapping in order to
reuse the Circle Hough Transform for Hyperbolas.


Should you find a way to implement such filter,
it will be great if you share it with others in the
Insight Journal.     :-)


                      http://insight-journal.org


     Regards,


          Luis


-----------------------------------------------------------------------------------------------------
On Wed, Oct 27, 2010 at 9:03 AM, Albert King <albert.king84 at yahoo.com>wrote:

> Hi List,
>
> I am a new user to itk.I am working on arbitrary shape detection
> algorithm.I am
> interest to know whether there is any in built function to detect
> hyperbolas in
> a image using hough transform in itk .The hough transform algorithm should
> detect hyperbolic structure in a image  and should display only  hyperbolic
> structure's.Can any please tell me if there is any hyperbola detection
> mechanism
> using hough transform in itk or vtk.Awaiting your positive response .Thanks
>
>
>
> With Best Regards
>
> Albert
>
>
>
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