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。
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:
-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
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0.430871671985252 2.95078063841104 1
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2.18596583418406 1.73505362502330 1
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0.320019483215927 1.82234886961005 1
2.22606598804851 2.92553777460368 1
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0.417690253375689 2.64425612559673 1
2.21840601718359 1.86213274353155 1
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2.18214937211589 2.81206394431873 1
0.0239657716321194 2.37810261200744 1
1.48366333882258 1.88062228076692 1
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1.00641966523359 1.82300801832677 1
0.229462398563604 0.218216163076399 1
3.08788315084484 2.44977421952063 1
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1.57689796637766 1.14148728120332 1
0.289637818858192 1.37410983329226 1
1.80546824398122 1.11123227831127 1
2.05342064550405 2.59331992761210 1
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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
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0.818034818369206 2.08879327658097 1
0.665710432632597 3.02252628314314 1
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0.884558977595650 2.40820510111672 1
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1.64997736187883 3.05662030735942 1
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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
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2.78697845539703 2.47701324514116 1
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3.02250396484622 2.55097729604176 1
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2.36877906808012 1.99152631129811 1
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2.85299832181112 0.880567071545951 1
1.95540343663813 1.24583714921799 1
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2.04391159921017 2.62263432946166 1
0.139422860698296 3.46606702350245 1
0.183723949354679 1.53015817186665 1
3.39797551359993 0.230231575623043 1
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0.0285425144832171 2.31933541717718 1
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2.41317338702067 3.04616386009345 1
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0.350088483934827 1.72226276593527 1
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