Re: Looking for applications for this math idea

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Good points.

Rockwalrus

On Sat, Feb 28, 2015, 8:54 AM Bill Skaggs <weskaggs@xxxxxxxxx> wrote:

> Decomposing a distribution into Gaussians is the essence of unblurring.  A
> good algorithm for doing that would of course be very useful, but there is
> an enormous literature on the topic, and the most important fact about it
> is that it is mathematically ill-posed.  In other words, unless you add
> extra constraints, tiny changes in the source distribution result in very
> large changes in the output.  (In image-processing terms, transforms of
> that type tend to create large artifacts.) Unless the new method has some
> way of handling that problem, it probably isn't going to be useful.
>
> Bill
>
>
> On Fri, Feb 27, 2015 at 10:29 PM, Nathan Summers <rockwalrus@xxxxxxxxx>
> wrote:
>
> > The first thing that comes to mind is that it might be a good method for
> > resizing images.
> >
> > Rockwalrus
> >
> > On Fri, Feb 27, 2015, 4:10 PM Ben Thurston <benpaulthurston@xxxxxxxxx>
> > wrote:
> >
> > > Well I guess I should add that it also interpolates the known points
> of a
> > > distribution...
> > >
> > > On Fri, Feb 27, 2015 at 3:56 PM, Ben Thurston <
> benpaulthurston@xxxxxxxxx
> > >
> > > wrote:
> > >
> > > > Sorry of course you need the link:
> > > >
> > > > http://benpaulthurstonblog.blogspot.com/2015/02/
> > > supposing-you-have-process-that-reaches.html
> > > >
> > > > On Fri, Feb 27, 2015 at 3:56 PM, Ben Thurston <
> > benpaulthurston@xxxxxxxxx
> > > >
> > > > wrote:
> > > >
> > > >> I developed this type of function that I feel is sort of like the
> > > >> statistical analogue of the Fourrier series, it breaks a
> distribution
> > up
> > > >> into simple normal distribution components as the Fourrier series
> > > breaks a
> > > >> wave into simple sine wave components. I thought maybe there could
> be
> > an
> > > >> application for it in image processing but I don't know enough about
> > > image
> > > >> processing to figure out how it would apply... Anyone have any
> ideas?
> > > >>
> > > >
> > > >
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