Matlab绘制散点密度图

关于使用Matlab绘制散点密度图,以前有一些文章,比如博客园文章MATLAB实例:散点密度图,这里面使用了Matlab社区中的scatplot.m文件,代码长度(含注释)为226行。

下图为博客园MATLAB实例:散点密度图中的输出结果,其所用数据源于博客园文章MATLAB中“fitgmdist”的用法及其GMM聚类算法。

Matlab绘制散点密度图_第1张图片

在本文中所用数据同样源于MATLAB中“fitgmdist”的用法及其GMM聚类算法,或者参考文中末尾部分,由于数据共有1000条,在示例代码中数据的省略部分用…代替;或者将数据放在Excel中,直接读取Excel文件即可。

主要的思路为:
读入数据(此处只取前两列作为X和Y,第三列未考虑) -> 设置搜索半径 -> 记录目标点所在的半径内的点数 -> 使用scatter函数(scatter函数详细说明)进行显示,参考代码如下:

%%
clc;
clear;

%%
XYZ = [
    -0.752713846442762  2.48140797998545    1
    -0.798625575507672  2.14835001132099    1
    2.82002920206994    1.97084621196340    1
    0.913856576539988   2.24942313999122    1
    1.57243525115195    2.68322568351427    1
    0.241170005783610   1.89791938743627    1
    2.10634746115858    2.20631449410867    1
    1.61173455443266    2.69163655587553    1
    1.39436249281445    1.28104472307183    1
    1.65267727628557    1.85771163664832    1
    ...
    0.580602656916380   -1.38403756935533   2
    -1.27308082491469   -2.20514718975902   2
    -2.92790668922674   -1.98439888443983   2
    -1.62181912776895   -0.851506362212275  2
    ];

datamin = min(min(XYZ(:, 1)), min(XYZ(:, 2)));
datamax = max(max(XYZ(:, 1)), max(XYZ(:, 2)));
datamin = floor(datamin);
datamax = ceil(datamax);

Length = 600;
Width = 600;

axismin = datamin;
axismax = datamax;

% 绘制密度图
XYZ(:, 3) = XYZ(:, 3) - XYZ(:, 3);
sizeXYZ = size(XYZ);
searchR = 1.0;
for i = 1 : sizeXYZ(1)
    index_i = find(XYZ(:, 1) > XYZ(i, 1) - searchR & XYZ(:, 1) < XYZ(i, 1) + searchR ...
        & XYZ(:, 2) > XYZ(i, 2) - searchR & XYZ(:, 2) < XYZ(i, 2) + searchR);
    sizeIndexI = size(index_i);
    XYZ(i, 3) = sizeIndexI(1);
end
[sortXYZ, sortI] = sort(XYZ(:, 3));

scatter(XYZ(sortI, 1), XYZ(sortI, 2), [], XYZ(sortI, 3), 'filled');
hold on;
axis([axismin axismax axismin axismax]);
gc = get(gca);
set(gcf, 'position', [300, 100, Length, Width]);

此处的搜索为矩形搜索,大家可以根据自己的需求自行修改,绘制的结果如下:

Matlab绘制散点密度图_第2张图片
参考的数据如下:

-0.752713846442762  2.48140797998545    1
-0.798625575507672  2.14835001132099    1
2.82002920206994    1.97084621196340    1
0.913856576539988   2.24942313999122    1
1.57243525115195    2.68322568351427    1
0.241170005783610   1.89791938743627    1
2.10634746115858    2.20631449410867    1
1.61173455443266    2.69163655587553    1
1.39436249281445    1.28104472307183    1
1.65267727628557    1.85771163664832    1
0.0927741368750946  2.00698799954306    1
2.79887910552062    1.70868183551872    1
0.652907219449091   1.88702134773695    1
3.43327629572431    2.17571612839302    1
1.96527202098605    2.34069549818768    1
0.867813825335363   1.68534433959204    1
2.08252259376894    1.02114736190308    1
0.613863159235077   2.17081564512242    1
0.399552396654452   2.11342763957560    1
2.91186118166440    1.82639334702902    1
0.377524852838774   3.08573945644000    1
1.98881806018168    1.98460069084178    1
2.68223790603780    1.96134300697451    1
-0.622058850926772  3.30007822155342    1
0.275231442237888   1.59279139683080    1
3.34643957013717    1.68055674830698    1
1.03601109129843    2.70541249651070    1
0.752332013138056   2.49601620599903    1
0.508824726005269   2.57436514443626    1
1.73027562632102    2.19502286037081    1
-0.713230300478002  3.73262960861479    1
0.00814731258125789 1.52233440802986    1
4.86084534117603    2.64339300870922    1
2.82851799598685    1.79094004967764    1
0.725784406602703   1.32609248276320    1
0.147485590657029   1.49033710171378    1
0.601129894478657   3.58795933263211    1
1.32767044246750    1.73683867424831    1
1.27723837775742    2.62061783710240    1
0.240726647338080   1.43127112737987    1
0.387110343064517   2.39576239976627    1
-0.735171242460893  2.21884994425795    1
0.821208540380224   2.28230651108960    1
2.84910757299470    2.40958045875721    1
-0.00305938218238255    1.36758622169689    1
0.664256129846708   1.22550082896155    1
-0.178114240634728  2.30408704591301    1
2.00786623874121    2.03129722636611    1
1.20272622506596    2.22475373629028    1
2.50250207292945    2.98770457384530    1
-0.874927698714206  1.71654280942273    1
2.39750117925196    1.84040401876970    1
0.369966892118764   2.74170598529279    1
2.15279953669453    1.58546917422906    1
0.591444584760838   2.29854661364821    1
2.57828408797099    2.37460697014727    1
0.816618335677021   1.11574196519408    1
1.86043373148875    2.20777177264008    1
0.100606202686330   3.21045350847405    1
2.53445397100630    0.854302259627375   1
1.39168420124415    1.49609940831950    1
1.93929865340817    1.15181790512326    1
-0.727792104505467  1.79285231965211    1
0.646252982052485   1.03986431564848    1
1.19673169055003    1.93448155511090    1
1.12984878643876    2.22883744483371    1
4.02666426647567    1.86649614448613    1
1.27117265547696    2.03774514826000    1
1.00533765244964    1.17061188123361    1
-0.414741919400961  2.28828102447677    1
0.495317556413179   1.83288455064957    1
2.76823223857300    2.97934893222715    1
1.08058855707478    2.26487370266768    1
1.38546325331279    1.40278788558597    1
1.52167644900484    2.69183023331115    1
1.67505702182493    2.85222287490608    1
4.10199034200796    2.18231282334728    1
2.40054022033848    2.07878116194682    1
1.49836399169312    1.92754270979332    1
1.52768214037169    0.604144369658773   1
1.48106369736206    1.89716183115311    1
1.88582351601666    2.33794971444330    1
2.26705524676369    1.71381451846972    1
1.60866449353269    1.49135394247519    1
-0.115055715038331  1.12849347288791    1
3.57622395160265    1.10664344270162    1
2.26630255633806    1.22083515972890    1
1.33163191466841    1.44619768873473    1
-1.45842213709207   2.22949005602252    1
1.70411565663116    3.47971193248190    1
1.48213175474953    2.96603725956335    1
1.72101076041395    3.01672973472638    1
-1.35146166439553   2.85558221164039    1
0.380649241141038   2.56729542762187    1
1.88667156332277    2.85630884112937    1
1.97758943297860    1.70558017430484    1
3.24821546740318    1.82804963183289    1
0.843823793198429   2.64758378735128    1
0.0405183480549609  1.71670699774521    1
0.976813370248264   2.49595625636074    1
-0.962694637418230  2.58074576675867    1
1.82963248497625    1.90436660429995    1
-0.0311001170696965 2.55990131230256    1
1.78671558216327    1.30722487774421    1
-0.0804210798437657 1.50783793009072    1
0.592128283430208   0.755659320204709   1
1.95365332837982    2.16200348956491    1
1.36682968081700    1.73744055959892    1
0.979475411390431   2.42632494823554    1
1.39902046293800    1.73826197272758    1
-0.765939069959433  1.80573420327555    1
-0.635816070635523  2.54485465981086    1
0.430871671985252   2.95078063841104    1
1.07190555054187    2.60824897906429    1
0.190820867383636   1.56628799263572    1
-0.877375755503489  2.32098851030493    1
2.18596583418406    1.73505362502330    1
-0.858977422721553  1.67583237334513    1
-0.209010836036135  1.61369208932597    1
0.320019483215927   1.82234886961005    1
2.22606598804851    2.92553777460368    1
-1.34847806650935   1.73833614701202    1
-1.10055386975634   1.73836801433344    1
-0.742975839183661  2.56906224418957    1
0.417690253375689   2.64425612559673    1
2.21840601718359    1.86213274353155    1
-1.80189093986379   1.88663190741782    1
2.18214937211589    2.81206394431873    1
0.0239657716321194  2.37810261200744    1
1.48366333882258    1.88062228076692    1
-1.50485783728876   1.75467615653968    1
-0.156597929943039  2.92699154393160    1
1.00641966523359    1.82300801832677    1
0.229462398563604   0.218216163076399   1
3.08788315084484    2.44977421952063    1
-2.75317240661940   1.47607778387816    1
1.57689796637766    1.14148728120332    1
0.289637818858192   1.37410983329226    1
1.80546824398122    1.11123227831127    1
2.05342064550405    2.59331992761210    1
-0.908793900499392  1.78719275353105    1
0.366987870101896   0.201547399427021   1
0.449481220306850   3.37425663694842    1
1.77118120808653    1.75664778049838    1
-0.418491981240371  1.67286506452260    1
3.52677560506185    2.36946900535883    1
1.02163690286654    2.47962254560261    1
1.41689244102377    2.38217492483121    1
1.13691599064491    0.957013586442155   1
0.671020944057007   2.56279320248092    1
0.416289186862122   1.39483608724636    1
-0.0282160104049050 2.45786458707630    1
0.0521611900408511  2.82924447860124    1
1.24447082399573    3.12144145109146    1
2.55665751225502    2.59582682074224    1
-1.72738716416235   2.87567939582205    1
0.818034818369206   2.08879327658097    1
0.665710432632597   3.02252628314314    1
-0.830517107648893  1.19084685791838    1
-0.738848145854706  1.25759468066556    1
0.884558977595650   2.40820510111672    1
0.588696730035120   0.647436434761032   1
0.458454700841834   2.31765414523682    1
1.64997736187883    3.05662030735942    1
1.39057520552050    1.64617201786334    1
0.694081545245352   2.15199590331699    1
0.0806501948918665  1.80117182589078    1
-0.184406277418025  1.67502632215727    1
0.775990550072731   2.43159523244796    1
0.442197809595544   2.42563275519744    1
0.408665021617116   1.66059134779610    1
0.587376671955379   1.86069409237464    1
-0.342114019627880  1.33691809907463    1
-0.142841819015369  1.71852333719017    1
-0.260651941264746  1.99425566102537    1
1.09807519449644    2.47217799103807    1
2.62993953926983    0.646836252256355   1
3.36278068810442    3.41074385787854    1
1.80913370829291    3.17557239985633    1
-1.59335469603891   2.64454888986985    1
-0.735293470649240  1.69761457507026    1
1.46149445409731    2.51621553558738    1
0.0529118189982672  2.66819865723460    1
1.98005993371040    2.93220202949268    1
1.33800754576975    1.75196414069653    1
2.15416642093573    1.87958480581846    1
1.28247803384193    3.41980786237121    1
2.92917443686860    2.35403149513118    1
-0.470738428706770  0.823541040173880   1
2.78697845539703    2.47701324514116    1
0.518320239654389   2.40424725623016    1
3.02250396484622    2.55097729604176    1
-0.839762255830834  2.00164329123226    1
1.97089798972180    2.55221447381585    1
-0.289887426353096  2.07610884850028    1
-0.718531739571935  2.78476179702835    1
0.159548738233182   2.22484818846287    1
0.0714188829572822  2.17574623522435    1
0.464260706095287   2.07341615166054    1
2.02556814345805    1.45062673448325    1
0.737020824815466   3.63975837407915    1
2.14750623700563    2.23282234495443    1
2.53296991781638    2.22406578277892    1
0.240179086504137   1.76265939266772    1
2.36877906808012    1.99152631129811    1
-0.893624073060507  2.42679500507945    1
-0.723268011951694  2.32859127688179    1
-2.59545056360228   1.52181861224035    1
0.657633251364557   2.01724805594542    1
2.85299832181112    0.880567071545951   1
1.95540343663813    1.24583714921799    1
0.960390843211572   1.77723068955129    1
0.407588468887096   2.22032850805760    1
2.04391159921017    2.62263432946166    1
0.139422860698296   3.46606702350245    1
0.183723949354679   1.53015817186665    1
3.39797551359993    0.230231575623043   1
-0.497286845513600  3.06777504068115    1
2.70349699479679    2.60386143158266    1
0.185856815839956   2.77421368229388    1
-1.25352566567544   2.61455356095118    1
2.97698189327392    2.79489518362215    1
2.96340883068021    1.70435402189933    1
-2.93795294934390   1.69031063599255    1
3.20630707170919    1.90544165791216    1
-0.781101952149974  1.34505757509867    1
-0.110254964395879  1.88887924037098    1
-0.148493182169401  2.78931982306986    1
1.57894475487651    1.95012113995437    1
0.358692212589937   2.45874960327494    1
-0.552629537041592  1.95247795012209    1
1.32766937201009    1.23501275935944    1
1.34151713650691    2.68772457510701    1
-0.268674132203379  1.66058617107181    1
1.25359742611476    1.23987634100201    1
2.46812252319339    1.25605626114578    1
3.09198334328765    2.36801154533005    1
-0.566282976514046  1.25079006691005    1
1.85783758415852    2.81172759538976    1
0.875253856836606   1.99065650370977    1
0.535551500053441   1.93194332848913    1
2.07892805534457    2.03389849312396    1
1.10683822574576    2.60514294021722    1
-0.0297454662589745 1.33412963408874    1
-0.274875295549741  1.98869630893035    1
-0.611926311082764  2.95137346161668    1
-0.215504880369949  2.27174327492410    1
0.403380418836380   2.04217817886391    1
3.55063319312173    2.10491549317915    1
0.795219956773059   1.21562325860728    1
0.789938421848367   1.90695351738886    1
1.29465079260286    2.47202780980209    1
-1.12683343851593   3.06350234612551    1
-0.0799676654748724 1.69008029097531    1
0.487673784247081   1.50046684588507    1
3.91777486308584    1.52272565018330    1
-1.15152954154729   1.99965584856603    1
2.47432687749385    2.74948515633273    1
1.00678950632924    2.25465914519267    1
-0.227915979053637  2.45191696972133    1
-0.0543477750084895 1.12278291234785    1
1.51878847200521    1.85528303596989    1
-1.91498109886475   2.76529330031460    1
-1.78417806800794   1.60752691808620    1
-0.578763215473953  2.10444755619117    1
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-2.30764835245406   1.08991109739254    1
1.89064200659468    2.00785978957407    1
2.03976346376942    1.82002963509455    1
1.24263738709720    3.19095386811925    1
0.0285425144832171  2.31933541717718    1
-0.625828512267571  1.82791530314014    1
-1.29694211271572   1.59645498766398    1
0.0985414341762946  2.13809274804248    1
1.34787113097625    2.07350197353985    1
0.175544605294486   2.90718939546573    1
2.41317338702067    3.04616386009345    1
0.875591407386426   2.24008553295827    1
0.344523616420434   2.77887075834446    1
0.350088483934827   1.72226276593527    1
1.42188219517947    2.57859804737845    1
3.21381719211517    1.86799247354647    1
1.74589088462987    1.00573740899835    1
2.11557922702034    1.58199599894400    1
-2.04013802060973   2.60232796518928    1
3.20205165328965    2.60390719877483    1
1.56234192734599    2.30558982629769    1
2.08517734695935    1.31728822189134    1
-1.48620907555365   2.55332048785093    1
2.61148249074725    1.71621279484903    1
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3.16479611450917    1.41887494399374    1
0.154029113586113   2.28452711486875    1
1.91264842854147    2.50351640809194    1
-0.582913589306954  2.19705796223473    1
1.31322945294724    2.22036323126808    1
-0.228788488980173  3.05928224414262    1
-0.857386001496367  1.96205173656563    1
2.76983398450783    1.24742630849804    1
2.44015841669802    2.31394357034122    1
0.408432233213481   3.09948140659388    1
-0.114410818902137  2.88941697026244    1
0.407100252949123   3.41779243528360    1
0.712740414645104   1.70908969851738    1
0.593558606206566   1.35437115259034    1
-1.96654861654142   2.28811237465077    1
-0.0767496998679684 2.44666392158934    1
1.26057334891416    0.945631825339162   1
-0.351949202522450  2.25900916459579    1
-1.17945381425960   2.46633417748718    1
-0.467568620732904  2.40136460898594    1
1.23862083846545    2.22083791435337    1
0.420694076530883   1.86990301998729    1
-0.531859248789545  2.62637095213525    1
3.32802355934814    1.67779513521650    1
2.90746315820912    2.33166989338252    1
1.43223079754213    1.85780610453333    1
0.360886580813031   1.84795416252802    1
1.41836527275590    1.72693535248849    1
2.02833084383351    1.35904677193309    1
0.435180523147467   2.64715310736853    1
-0.698375319323621  1.43125428012617    1
1.19444497158568    1.57143006912886    1
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