Don't think that is quite right (it reverses the left arg (w h) too).
I think this is the desired result?
  viewmat |. 320 240 houghTransform |. _1 > Img

If we want to integrate that into the houghTransform verb here are a couple of 
options:
houghTransform=: 4 :0 &.|.
  'h w'=. x
  rho=. y hough~ o. (%~ 0.5+i.) w        NB. rho for each pixel at each theta
  'min max'=. (<./ , >./) ,rho
  rho=. <. 0.5+ h * (rho-min) % max-min  NB. Rescale rho from 0 to h and round 
to int
  ([: <:@(#/.~) (i.h)&,)"1&.|: rho       NB. consolidate into picture
)

houghTransform=: 4 :0
  'w h'=. x
  rho=. (|.y) hough~ o. (%~ 0.5+i.) w     NB. rho for each pixel at each theta
  'min max'=. (<./ , >./) ,rho
  rho=. <. 0.5+ h * (rho-min) % max-min   NB. Rescale rho from 0 to h and round 
to int
  |.([: <:@(#/.~) (i.h)&,)"1&.|: rho      NB. consolidate into picture
)

What do you mean by "load .png files"? 
If you mean as an array in J then see the "Example Use" Note in my last post.
Or do you mean load a .png on RosettaCode?


> From: Marshall Lochbaum
> Sent: Thursday, 16 September 2010 10:22
> 
> To make the center the lower left corner and have theta go in the right
> direction, we actually need houghTransform&.|.
> 
> Everything else looks satisfactory.
> 
> Also, does anybody know how to load .png files?
> 
> Marshall
> 
> From: Sherlock, Ric
> Sent: Tuesday, September 14, 2010 11:52 PM
> 
> I think theta should only go to 1p1. I'd leave viewmat out of the main verb.
> 
> NB.*houghTransform v Produces a density diagram of image y in hough space
> NB. y is picture as an array with 1 at non-white points, NB. x is resolution
> (width,height) of resulting image
> houghTransform=:4 :0
>   'w h'=.x
>   rho=. y hough~ o. (%~ 0.5+i.) w      NB. rho for each pixel at each theta
>   'min max'=. (<./ , >./)@, rho
>   rho=. <. 0.5+ h * (max-min) %~ min -~ rho  NB. Rescale and round rho to
> int from 0 to h
>   ([: <:@(#/.~) (i.h)&,)"1&.|: rho     NB. consolidate into picture
> )
> 
> NB. Where hough is one of these equivalent verbs:
> 
> NB.*hough v Returns rho values of each theta value x for picture y.
> NB. y is picture as an array with 1 at non-white points, NB. x is values to
> test at
> hough=:4 :0
>   ind=. 4$.$. y     NB. Indices of points in y
>   ind +/ .* 2 1 o./ x
> )
> hough=: 4 :'(2 1 o./ x) +/ .*~ 4$.$.y'
> hough=: 2 1&(o./)@[ +/ .*~ 4 $. $...@]
> 
> Note 'Example use:'
>    require 'viewmat media/platimg'
>    Img=: readimg jpath '~temp/pentagon.png'
>    viewmat 320 240 houghTransform _1 > Img
> )
> 
> 
> > From: Marshall Lochbaum
> > Sent: Wednesday, 15 September 2010 13:30
> >
> > I think this gives the correct plot. It also uses viewmat, but just to
> > plot the final array.
> >
> > NB. Y is picture as an array with 1 at black points, x is values to
> > test at NB. Returns r values of each theta value x.
> >    hough=:4 :0
> > ind=. ($ #: I.@,) y     NB. Indices of points in y
> > ind +/ .* 2 1 o./ x
> > )
> >
> > NB. Y is picture, x is resolution. Produces and sends to viewmat a
> > density diagram NB. In hough space with resolution x
> >    drawhough=:4 :0
> > 'w h'=.x
> > val=. y hough~ +:o. (%~ 0.5+i.) w   NB. Test r values for each pixel at
> each
> > theta given by the centers of pixels
> > 'min max'=. (<./@, , >./@,) val
> > rel=.h * (max-min) %~ min -~ val   NB. Rescale so that y values go from 0
> to
> > h
> > pixels=.([: <:@(#/.~) (i.h) , ])"1&.|: <:@>. rel  NB. Round y values;
> > consolidate into picture viewmat pixels
> > )
> >
> > I have tested this on |. =/~ i. 100, but not on the actual picture.
> > Note that it uses the top left corner as the natural coordinate center.
> > Also, I made theta go from 0 to 2p1. Should these be the bounds, or
> > just 0 to 1p1?
> >
> > Marshall
> >
> > -----Original Message-----
> > From: [email protected]
> > [mailto:[email protected]] On Behalf Of Aai
> > Sent: Tuesday, September 14, 2010 10:16 AM
> > To: Programming forum
> > Subject: Re: [Jprogramming] Hough transform
> >
> > Hi David,
> > I don't know exactly what you expect but here's an alternative using
> > viewmat.
> >
> > require 'viewmat'
> >
> > Because you just increment coordinate values by 1 for every iteration
> > it's sufficient to compose a triple X Y Z  in which Z is the 'height'
> > or 'density' of a point in hough space.
> >
> > hough2=: 4 : 0
> > radii=: (>:length>:$y)*_0.5+grid {. x
> > angle=: 1r1p1*grid {: x
> > b=: 0 < ,y
> > inter=: b # , y
> > coord=: ($y) #: I. b
> > rhoug=: (coord,.1)+/ .*(1 0,0 _1,:_0.5 0.5*$y)+/ .*1 2 o./angle
> > r=: (<:@# - I.&rhoug)radii
> > 'X Y Z'=.|:({.,#)/.~,/r ,."1 i. {: x
> > viewmat Z (;/ X,.Y) } 0 $~ 0 _1 { x
> > )
> >
> >
> > try e.g.
> >
> > 250 hough2 data
> >
> >
> > --
> > Met vriendelijke groet,
> > =@@i
> >
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