We could probably borrow some tools from R

http://vincebuffalo.org/2012/11/14/learn-visualization.html makes some
interesting suggestions.

I particularly liked "color brewer" - I think that that concept could
fit well into j's plot.

-- 
Raul

On Thu, Apr 25, 2013 at 8:45 AM, Sarah Arnold <[email protected]> wrote:
> Many thanks to everybody for your input! J'ers seem to be very well
> supported...
>
>
> On 04/25/2013 11:17 AM, Cliff Reiter wrote:
>>
>> Hi Bob et al,
>> In J there is a wonderful conjunction that allows you to apply any
>> function to all sorts of tessellations of the data. I used u;._3 apparently.
>> I think Sharp APL had a similar thing but I don't know if that is available
>> in  your compiler.
>>
>> FVJ3 version is
>>
>> medianf=: 1 : 0
>> (2#m)"_ (<.-:*:m)&{@:(/:~)@,;._3 ]
>> )
>>
>> where
>>
>> 13 medianf g
>>
>> would apply a 13 by 13 median filter on g. The whole thing is a fork.
>> (<.-:*:m)&{@:(/:~)@, ravels the patch, orders the data and takes a datum
>> from the middle (lower choice if even size).
>> ;._3 distributes to tessellations. ] is the identity (g) and (2#m)"_ gives
>> 13 13, the desired size of the tessellation. Very substantial speed ups are
>> available for multiplicative filters using moving windows (\ as dyad), but
>> median isn't.
>> Best, Cliff
>>
>> On 4/24/2013 2:10 PM, Robert Bernecky wrote:
>>>
>>> Hi, Cliff,
>>>
>>> I'm looking to turn your medianf function into APL, but
>>> will have to relearn J in order to do so. Can you give me a
>>> quick translation into APLish of that?  If that's not trivial,
>>> or if you're up to your butt in alligators, it's no big deal:
>>> I'll dig out the J books and figure it out.
>>>
>>> What I want to do is to compile the APL code into
>>> SAC, then compile that and see how well it works in
>>> both serial and parallel environments.
>>>
>>> Thanks,
>>> Bob
>>>
>>> On 13-04-24 11:01 AM, Cliff Reiter wrote:
>>>>
>>>> In addition to my visualization book (OK fractals) you might look at
>>>> preprints of APL quote quad articles
>>>> http://webbox.lafayette.edu/~reiterc/j/withj/withj12_im_proc01_pp.pdf
>>>> http://webbox.lafayette.edu/~reiterc/j/withj/withj14_im_proc02_pp.pdf
>>>> and the vector paper
>>>> http://archive.vector.org.uk/art10500860
>>>> and ask the forum (or me) if you have questions -- I tend to always be a
>>>> couple days out of date on the forum, but I do browse it.
>>>> Those books and articles are best used with J6 but I hope that in a
>>>> semester or two I will transition to J8.
>>>> Best, Cliff
>>>>
>>>> On 4/24/2013 10:32 AM, Sarah Arnold wrote:
>>>>>
>>>>> Hi Ben
>>>>>
>>>>> Yes, in mathematica it takes approximately 2 minutes to do the 13x13
>>>>> medianfilter for a 2004 x 2006 picture... I usually use much bigger 
>>>>> boxsizes
>>>>> (about 120x120), so I can pick up a coffee while the program is running.
>>>>>
>>>>> What you write about your use of J sounds promising to me. I ordered
>>>>> the book from Reiter in the library and will have a look at it. The
>>>>> tutorials you mentioned: are they somehow available?
>>>>>
>>>>> Thanks a lot for your answers!
>>>>>
>>>>> On 04/24/2013 04:14 PM, Ben Gorte - CITG wrote:
>>>>>>
>>>>>> By the way, Cliff Reiter's median in J isn't slow at all, for example
>>>>>> compared to famous software like ImageMagick:
>>>>>>
>>>>>> $ time convert -median 3x3 p19.pgm m3.pgm
>>>>>>
>>>>>> real    0m11.961s
>>>>>> user    0m22.333s
>>>>>> sys    0m0.292s
>>>>>> $
>>>>>> $ time convert -median 13x13 p19.pgm m13.pgm
>>>>>>
>>>>>> real    1m13.204s
>>>>>> user    2m22.517s
>>>>>> sys    0m0.352s
>>>>>>
>>>>>> Good old xv uses 10s resp. 5 minutes.
>>>>>>
>>>>>> Ben
>>>>>>
>>>>>> ________________________________________
>>>>>> From: [email protected]
>>>>>> [[email protected]] on behalf of Ben Gorte - CITG
>>>>>> [[email protected]]
>>>>>> Sent: Wednesday, April 24, 2013 15:47
>>>>>> To: [email protected]
>>>>>> Subject: Re: [Jchat] J for Image Processing
>>>>>>
>>>>>>     6!:2 'med3 =: 3 medianf p19'
>>>>>> 17.9526
>>>>>>     6!:2 'med13 =: 13 medianf p19'
>>>>>> 47.2474
>>>>>>     $p19
>>>>>> 3072 4608
>>>>>>
>>>>>> (A median 3x3 median filter on a 3072x4608 image takes 18s, and a
>>>>>> 13x13 median takes 47s).
>>>>>>
>>>>>> This is on an Intel Core 2 Duo CPU at 2.00GHz , using the median
>>>>>> function from the already-mentioned book of Cliff Reiter "Fractals,
>>>>>> Visualization and J":
>>>>>>
>>>>>>     medianf =: 1 : '(2#m) "_ (<.-:*:m)&{@:(/:~)@,;._3 ]'
>>>>>>
>>>>>> I have a C program doing the same in 0.7s resp. 1.2s, but when I
>>>>>> consider how much time it took me to write that one, I must compute an 
>>>>>> awful
>>>>>> lot of medians with it before earning back that time.
>>>>>>
>>>>>> Ben
>>>>>> ________________________________________
>>>>>> From: [email protected]
>>>>>> [[email protected]] on behalf of Sarah Arnold
>>>>>> [[email protected]]
>>>>>> Sent: Wednesday, April 24, 2013 15:02
>>>>>> To: [email protected]
>>>>>> Subject: Re: [Jchat] J for Image Processing
>>>>>>
>>>>>> Hi
>>>>>> I should have been a bit more precise: I'm into astronomy. I'm mostly
>>>>>> interested in noise reduction / signal enhancement and therefore apply
>>>>>> different filters to the image. Some of this operations, like for
>>>>>> example the MedianFilter[] function, take a lot of computation time.
>>>>>>
>>>>>> ----------------------------------------------------------------------
>>>>>> For information about J forums see http://www.jsoftware.com/forums.htm
>>>>>> ----------------------------------------------------------------------
>>>>>> For information about J forums see http://www.jsoftware.com/forums.htm
>>>>>
>>>>>
>>>>> ----------------------------------------------------------------------
>>>>> For information about J forums see http://www.jsoftware.com/forums.htm
>>>>>
>>>>
>>>
>>> ----------------------------------------------------------------------
>>> For information about J forums see http://www.jsoftware.com/forums.htm
>>>
>>
>
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
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