[R] Neighborhood distance calculator

Antonio, Fabio Di Narzo antonio.fabio at gmail.com
Wed Jan 28 22:14:48 CET 2009


The tseriesChaos package has an internal function "find_knearests"
which deals with a similar problem using a box-assisted search
strategy to alleviate time complexity explosion.
However, you will have to dig into the C sources, as these have no man pages.

HTH,
f.

2009/1/28 roger koenker <rkoenker at uiuc.edu>:
> If you are willing to dig into the adjacency information returned from
> tri.mesh in the tripack package, this could be done quite efficiently.
>
> url:    www.econ.uiuc.edu/~roger            Roger Koenker
> email    rkoenker at uiuc.edu            Department of Economics
> vox:     217-333-4558                University of Illinois
> fax:       217-244-6678                Champaign, IL 61820
>
> On Jan 28, 2009, at 2:33 PM, Kumudan wrote:
>
>> Hi all,
>>
>> I am new to R, hence this question. I have a set of points with X and
>> Y coordinates. I would like to build an R code to calculate the
>> distances of points within a specified neighborhood (circular range)
>> for each point. I would like the code to be a function, so that I can
>> call the function, specifying parameters (data file, distance), from
>> another piece of code. Also, I would like the output to be as:
>>
>> output = list(array)
>> .........code...........
>> ........new code.....
>> return(output)
>>
>> Something like this--
>> [[1496]]
>> [1] 1490 1491 1492 1493 1494 1495
>>
>> The most important thing, however, is that I want to run the code for
>> 100,000+ points. The current code I have calculates the neighborhood
>> distances for all the points with ever point, and then selects only
>> those points within the specified distance parameter. This code
>> crashes when I have over 40,000 points. Therefore, I need to figure
>> out a way to preclude the step where it calculates all of the paired
>> distances, and rather only those points within the specified distance
>> parameter. Please, see below for the existing code, and a sample data.
>> Thanks a lot for your time and effort.
>>
>> Best,
>> Kumudan
>>
>> Kumudan Grubh
>> EEB Graduate student
>> Iowa State University
>>
>>
>> -------------------------------------------------------------------------------------------------------------------------------------------------------
>> #--Code--
>> #transform coordinates in kilometers, and redefine origin
>> newx=(XCOORD-min(XCOORD))/1000
>> newy=(YCOORD-min(YCOORD))/1000
>> plot(newx,newy,pch=20,xlab="X coordinate (km)",ylab="Y coordinate (km)")
>>
>> #set of new locations to be used from here on
>> tr.locs=cbind(newx,newy)
>>
>> #the functions necessary for estimation are written in an external
>> program. All you need to do is to run this program one. To do this,
>> you could "source" this code
>> source("D:/...../Functions_distance.R")
>>
>> #define distance-based neighborhood
>> nb.tr=dist.neighbors(tr.locs,2)
>>
>> ----------------------------------------------------------------------------------------------------------------------------------------------------------
>> #---Function_distance.R   <- Function to calculate distance of pairs
>> of neighbors
>> #start by defining neighbors
>> library(spatstat)#need this to compute distances between all points in a
>> data
>>
>> dist.neighbors=function(data,distance)
>> #distance is set by user
>> {
>> #data has the x and y on the first two columns. Could have more than
>> two columns, or exactly two columns, it doesn't matter.
>> #produces a "list" object with a vector of the neighbors for each location
>> #distance defines the range within which we define neighbors
>> nd=length(data[,1])
>> nbmat=list(array)
>> dist=pairdist(data[,1:2])
>>  for(i in 1:nd){
>>  nbmat[[i]]=0
>>        for(j in 1:nd) if((dist[i,j]<distance)&(i!=j))
>> nbmat[[i]]=c(nbmat[[i]],j)
>>        nbmat[[i]]=nbmat[[i]][nbmat[[i]]!=0]}
>> return(nbmat)
>> }
>>
>> ------------------------------------------------------------------------------------------------------------------------------------
>>
>> Data
>>
>> -----------------------------------------------------------------------------------
>> XCOORD  YCOORD
>> 544312.87500000000      4851169.00000000000
>> 542705.87500000000      4851165.00000000000
>> 541068.87500000000      4851155.00000000000
>> 537861.81250000000      4851123.00000000000
>> 536246.81250000000      4851118.00000000000
>> 539476.87500000000      4851116.00000000000
>> 534612.81250000000      4851113.00000000000
>> 533004.75000000000      4851095.00000000000
>> 542714.87500000000      4850363.00000000000
>> 543516.87500000000      4850360.00000000000
>> 544319.93750000000      4850358.00000000000
>> 541883.87500000000      4850353.00000000000
>> 541053.87500000000      4850342.50000000000
>> 540268.87500000000      4850326.50000000000
>> 537866.81250000000      4850313.50000000000
>> 538674.87500000000      4850311.50000000000
>> 539483.87500000000      4850310.50000000000
>> 537060.81250000000      4850310.00000000000
>> 536255.81250000000      4850307.00000000000
>> 535434.81250000000      4850306.00000000000
>> 534614.81250000000      4850305.00000000000
>> 533809.81250000000      4850297.00000000000
>> 533004.81250000000      4850289.00000000000
>> 542716.87500000000      4849553.50000000000
>> 541074.87500000000      4849537.50000000000
>> 539486.87500000000      4849508.50000000000
>> 537867.87500000000      4849507.50000000000
>> 536260.81250000000      4849503.50000000000
>> 534622.81250000000      4849498.50000000000
>> 533009.81250000000      4849483.00000000000
>> 542718.93750000000      4848744.50000000000
>> 543524.93750000000      4848743.50000000000
>> 544331.93750000000      4848743.50000000000
>> 541906.87500000000      4848738.50000000000
>> 541095.87500000000      4848733.50000000000
>> 540292.87500000000      4848720.50000000000
>> 539489.87500000000      4848707.50000000000
>> 538679.87500000000      4848704.50000000000
>> 537869.87500000000      4848702.50000000000
>> 536265.81250000000      4848701.50000000000
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>> 535447.81250000000      4848697.50000000000
>> 534630.81250000000      4848693.50000000000
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>> 547680.81250000000      4827842.50000000000
>> 546868.81250000000      4827840.50000000000
>> 546056.81250000000      4827839.50000000000
>> 545247.81250000000      4827823.50000000000
>> 544439.81250000000      4827808.50000000000
>> 581547.93750000000      4827342.50000000000
>> 579928.93750000000      4827326.50000000000
>> 578311.93750000000      4827303.50000000000
>> 576700.93750000000      4827288.50000000000
>> 575097.87500000000      4827262.50000000000
>> 573503.87500000000      4827255.50000000000
>> 571901.87500000000      4827229.50000000000
>> 570293.87500000000      4827212.50000000000
>> 568683.87500000000      4827208.50000000000
>> 567078.87500000000      4827184.50000000000
>> 565470.87500000000      4827164.50000000000
>> 563834.87500000000      4827155.50000000000
>> 562230.87500000000      4827134.50000000000
>> 560626.87500000000      4827118.50000000000
>> 559019.87500000000      4827109.50000000000
>> 557407.87500000000      4827100.50000000000
>> 555792.87500000000      4827098.50000000000
>> 554127.87500000000      4827090.50000000000
>> 552523.81250000000      4827076.50000000000
>> 550906.81250000000      4827065.50000000000
>> 549302.81250000000      4827052.50000000000
>> 547691.81250000000      4827037.50000000000
>> 546074.81250000000      4827034.50000000000
>> 581561.93750000000      4826547.50000000000
>> 580752.87500000000      4826537.50000000000
>> 579944.87500000000      4826527.50000000000
>> 579135.87500000000      4826516.50000000000
>> 578327.87500000000      4826506.50000000000
>> 577520.87500000000      4826498.50000000000
>> 576714.87500000000      4826490.50000000000
>> 575915.87500000000      4826475.50000000000
>> 575117.87500000000      4826460.50000000000
>> 574316.87500000000      4826455.50000000000
>> 573515.87500000000      4826450.50000000000
>> 572714.87500000000      4826439.50000000000
>> 571913.87500000000      4826429.50000000000
>> 571107.87500000000      4826421.50000000000
>> 570301.87500000000      4826413.50000000000
>> 569500.87500000000      4826406.50000000000
>> 568699.87500000000      4826400.50000000000
>> 567897.87500000000      4826390.50000000000
>> 567096.87500000000      4826381.50000000000
>> 566295.87500000000      4826370.50000000000
>> 565494.87500000000      4826359.50000000000
>> 564673.87500000000      4826354.50000000000
>> 563853.87500000000      4826350.50000000000
>> 563044.87500000000      4826344.50000000000
>> 562236.87500000000      4826339.50000000000
>> 561429.87500000000      4826328.50000000000
>> 560623.87500000000      4826317.50000000000
>> 559824.87500000000      4826310.50000000000
>> 559026.87500000000      4826303.50000000000
>> 558217.87500000000      4826299.50000000000
>> 557408.87500000000      4826295.50000000000
>> 556601.87500000000      4826293.50000000000
>> 555794.87500000000      4826291.50000000000
>> 554966.81250000000      4826287.50000000000
>> 554138.81250000000      4826284.50000000000
>> 553335.81250000000      4826274.50000000000
>> 552533.81250000000      4826265.50000000000
>> 551723.81250000000      4826261.50000000000
>> 550913.81250000000      4826258.50000000000
>> 550112.81250000000      4826253.50000000000
>> 549311.81250000000      4826248.50000000000
>> 548506.81250000000      4826240.50000000000
>> 547702.81250000000      4826232.50000000000
>> 546897.81250000000      4826230.50000000000
>> 546092.81250000000      4826229.50000000000
>> 545271.81250000000      4826211.50000000000
>> 544451.81250000000      4826193.50000000000
>> 581563.87500000000      4825740.50000000000
>> 579949.87500000000      4825722.50000000000
>> 578340.87500000000      4825707.50000000000
>> 576725.87500000000      4825683.50000000000
>> 575118.87500000000      4825665.50000000000
>> 573522.87500000000      4825647.50000000000
>> 571918.87500000000      4825633.50000000000
>> 570310.87500000000      4825621.50000000000
>> 568704.87500000000      4825603.50000000000
>> 567101.87500000000      4825596.50000000000
>> 565496.87500000000      4825581.50000000000
>> 563853.87500000000      4825546.50000000000
>> 562244.87500000000      4825530.50000000000
>> 560635.87500000000      4825522.50000000000
>> 559024.87500000000      4825504.50000000000
>> 557409.81250000000      4825499.50000000000
>> 555792.81250000000      4825488.50000000000
>> 554144.81250000000      4825480.50000000000
>> 552537.81250000000      4825455.50000000000
>> 549324.81250000000      4825451.50000000000
>> 546093.81250000000      4825424.50000000000
>> 547705.81250000000      4825420.50000000000
>> 581566.87500000000      4824933.50000000000
>> 580760.87500000000      4824925.50000000000
>> 579954.87500000000      4824918.50000000000
>> 579153.87500000000      4824913.50000000000
>> 578353.87500000000      4824909.50000000000
>> 577544.87500000000      4824892.50000000000
>> 576736.87500000000      4824876.50000000000
>> 575928.87500000000      4824873.50000000000
>> 575120.87500000000      4824870.50000000000
>> 574325.87500000000      4824857.50000000000
>> 573530.87500000000      4824844.50000000000
>> 572726.87500000000      4824840.50000000000
>> 571923.87500000000      4824837.50000000000
>> 571121.87500000000      4824833.50000000000
>> 570319.87500000000      4824829.50000000000
>> 569514.87500000000      4824818.50000000000
>> 567106.87500000000      4824812.50000000000
>> 567907.87500000000      4824809.50000000000
>> 566302.87500000000      4824808.50000000000
>> 568709.87500000000      4824807.50000000000
>> 565499.87500000000      4824804.50000000000
>> 564676.87500000000      4824773.50000000000
>> 563854.87500000000      4824743.50000000000
>> 563053.87500000000      4824732.50000000000
>> 560648.87500000000      4824727.50000000000
>> 561450.87500000000      4824724.50000000000
>> 562252.87500000000      4824721.50000000000
>> 559835.81250000000      4824716.50000000000
>> 559023.81250000000      4824705.50000000000
>> 557410.81250000000      4824704.50000000000
>> 558216.81250000000      4824704.50000000000
>> 556600.81250000000      4824694.50000000000
>> 555791.81250000000      4824685.50000000000
>> 554971.81250000000      4824681.50000000000
>> 554151.81250000000      4824677.50000000000
>> 553346.81250000000      4824661.50000000000
>> 549337.81250000000      4824655.50000000000
>> 552541.81250000000      4824645.50000000000
>> 548522.81250000000      4824632.50000000000
>> 546095.81250000000      4824619.50000000000
>> 546901.81250000000      4824614.50000000000
>> 547708.81250000000      4824609.50000000000
>> 581576.87500000000      4824131.50000000000
>> 579957.87500000000      4824114.50000000000
>> 578352.87500000000      4824104.50000000000
>> 576744.87500000000      4824073.50000000000
>> 575129.87500000000      4824064.50000000000
>> 573538.87500000000      4824041.50000000000
>> 571927.87500000000      4824036.50000000000
>> 570323.87500000000      4824023.50000000000
>> 567100.87500000000      4824009.50000000000
>> 568715.87500000000      4824005.50000000000
>> 565496.81250000000      4823998.50000000000
>> 563861.81250000000      4823935.50000000000
>> 562256.81250000000      4823919.50000000000
>> 560644.81250000000      4823918.50000000000
>> 557409.81250000000      4823902.50000000000
>> 559026.81250000000      4823899.50000000000
>> 581587.87500000000      4823329.5000
>
> ...
>
> [Messaggio troncato]



-- 
Antonio, Fabio Di Narzo
Ph.D. student at
Department of Statistical Sciences
University of Bologna, Italy




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