2012-04-03 2 views
1

Mathematica 7에서 ListDensityPlot을 사용하여 (x, y) 위치에 해당하는 일련의 데이터를 플롯하려고합니다. mydata은 데이터 {x, y, f}의 목록입니다. 여기서 f는 -4.5와 + 4.5 사이의 실수입니다.Mathematica의 ListDensityPlot에 대한 ColorFunction과 Blend

ListDensityPlot을 f = -4.5 일 때 진한 파란색으로, f = + 4.5 일 때 진한 빨간색으로, f가 -4.5와 +4.5 사이에 선형으로 보간 할 때마다 파란색과 빨간색으로 보간합니다. 나는 다음과 같은 얻을

Show[{ 
    ListDensityPlot[mydata, FrameLabel -> {"x", "y"}, 
    ColorFunction -> (Blend[{{-4.5, Blue}, {4.5, Red}}, #] &), 
    ImageSize -> 500], 
    Graphics[ 
    Map[Text[ToString[Round[#[[4]], 0.1]], #[[1 ;; 2]]] &, data] 
    ] 
    }] 

:

나는 다음과 같은 명령을 사용하려고 한 나는 아래 mydata를 붙여 넣은

ListDensityPlot of mydata

. ListDensityPlot은 플롯을 생성하지만, 이상하게도 매우 음수 인 f 영역은 흰색이 아닌 파란색으로 채색되어 있습니다. 이 문제를 해결할 수있는 방법에 대한 아이디어가 있습니까?

mydata={{0.0706972,0.0612815,0.156232}, 
{0.353737,0.0612826,0.362632}, 
{0.495237,0.0612793,0.305966}, 
{0.778237,0.0612736,0.205575}, 
{0.919737,0.0612732,0.305138}, 
{1.34424,0.0612733,0.9149}, 
{1.62724,0.0612745,-0.0153983}, 
{1.76874,0.0612779,-0.0400239}, 
{2.05173,0.061282,0.0968682}, 
{2.19323,0.061269,0.24809}, 
{2.47623,0.0612574,0.830854}, 
{2.61773,0.0612641,0.792518}, 
{2.90075,0.0612581,0.627821}, 
{3.04225,0.0612652,0.914969}, 
{0.141468,0.183812,0.409818}, 
{0.282968,0.183814,0.768611}, 
{0.565988,0.183822,0.384961}, 
{0.707488,0.183816,0.17869}, 
{0.990485,0.183817,0.143558}, 
{1.41499,0.183815,0.105034}, 
{1.55649,0.183821,-0.124248}, 
{1.83948,0.183824,-0.0827487}, 
{1.98098,0.183826,0.0105883}, 
{2.26399,0.183803,0.337229}, 
{2.40549,0.183806,1.28208}, 
{2.68849,0.1838,0.949262}, 
{2.82999,0.183793,0.706267}, 
{3.113,0.18381,1.94937}, 
{0.07072,0.306355,0.287076}, 
{0.35373,0.30635,1.89559}, 
{0.49523,0.30636,0.880476}, 
{0.778235,0.306361,0.0173677}, 
{0.919735,0.30636,-0.166621}, 
{1.20273,0.306355,0.150628}, 
{1.34423,0.306353,-0.0607556}, 
{1.62724,0.306367,-0.318956}, 
{1.76874,0.30637,-0.145211}, 
{2.05175,0.306357,0.0208272}, 
{2.19325,0.30635,-0.0423171}, 
{2.61774,0.306343,1.56449}, 
{2.90073,0.306342,0.674011}, 
{3.04223,0.306341,0.953657}, 
{3.32522,0.306381,1.1894}, 
{0.141477,0.428894,0.618096}, 
{0.565987,0.428899,0.6901}, 
{0.707487,0.428905,0.106956}, 
{0.990492,0.428898,-0.0971399}, 
{1.13199,0.428902,0.00726246}, 
{1.41498,0.428898,-0.00873916}, 
{1.55648,0.428906,0.105947}, 
{1.83949,0.428908,0.766284}, 
{1.98099,0.428897,0.316873}, 
{2.264,0.428892,-0.00432865}, 
{2.68849,0.428889,0.67258}, 
{2.82999,0.428887,0.526888}, 
{3.11296,0.428893,0.628485}, 
{3.25447,0.428921,0.573774}, 
{0.0707381,0.551442,-0.14735}, 
{0.495233,0.551439,1.1216}, 
{0.778241,0.551445,-0.0890709}, 
{0.91974,0.55144,0.33001}, 
{1.20273,0.551448,0.563503}, 
{1.34423,0.551443,0.404971}, 
{2.05174,0.551439,0.367543}, 
{2.19324,0.551431,-0.0455066}, 
{2.47624,0.551445,0.35311}, 
{2.61774,0.551434,0.311075}, 
{2.90073,0.551435,0.3781}, 
{3.04223,0.551442,0.381492}, 
{3.32524,0.55145,0.277341}, 
{0.141493,0.673982,-0.145419}, 
{0.282993,0.673978,0.42935}, 
{0.565985,0.67398,0.256423}, 
{0.707485,0.673984,-0.000328871}, 
{1.13198,0.67399,1.95841}, 
{1.41498,0.673988,0.867256}, 
{1.55648,0.673977,1.69639}, 
{1.8395,0.673988,2.00345}, 
{1.981,0.673983,0.856412}, 
{2.26399,0.673977,-0.00904543}, 
{2.40549,0.673987,-0.0313169}, 
{2.68848,0.673979,0.216407}, 
{2.82998,0.673982,0.29249}, 
{3.11298,0.673982,0.272341}, 
{3.25448,0.673988,0.208162}, 
{0.0707369,0.796521,-0.0698865}, 
{0.353738,0.796524,0.200232}, 
{0.495237,0.796524,0.195742}, 
{0.778236,0.796526,0.531634}, 
{1.20273,0.796532,1.62237}, 
{1.34423,0.796532,1.03682}, 
{1.62724,0.796515,1.4727}, 
{1.76874,0.796526,1.51058}, 
{2.05174,0.796529,0.547837}, 
{2.19324,0.796521,0.197249}, 
{2.47624,0.79653,0.0709165}, 
{2.61774,0.796525,0.171138}, 
{2.90073,0.796525,0.322391}, 
{3.04223,0.796526,0.292232}, 
{3.32524,0.796526,0.112837}, 
{0.14148,0.919067,0.164426}, 
{0.28298,0.919062,0.352007}, 
{0.565982,0.91907,0.227861}, 
{0.707482,0.919067,0.223424}, 
{0.990472,0.919081,1.51778}, 
{1.13197,0.919068,1.43614}, 
{1.41499,0.91907,0.928125}, 
{1.55649,0.919058,1.02439}, 
{1.83949,0.919069,1.29591}, 
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{2.82998,0.919068,0.419197}, 
{3.11299,0.919065,0.297583}, 
{3.25449,0.919069,0.112569}, 
{0.0707326,1.04161,0.271365}, 
{0.353732,1.0416,1.35402}, 
{0.495232,1.04161,0.73555}, 
{0.778227,1.04161,0.266921}, 
{0.919727,1.04163,0.558285}, 
{1.20274,1.0416,0.990328}, 
{1.34424,1.04161,0.853826}, 
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{1.76873,1.04161,1.8516}, 
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{2.19324,1.04161,0.286579}, 
{2.47623,1.04162,0.192482}, 
{2.61773,1.04161,0.327713}, 
{2.90072,1.04162,0.75709}, 
{3.04222,1.0416,0.671078}, 
{3.32523,1.04162,-0.0649734}, 
{0.141487,1.16415,0.674372}, 
{0.565979,1.16416,0.382277}, 
{0.707479,1.16416,0.130031}, 
{0.990489,1.16416,0.359462}, 
{1.13199,1.16414,0.878039}, 
{1.41498,1.16416,0.61436}, 
{1.55648,1.16415,0.689871}, 
{2.26398,1.16415,0.192415}, 
{2.40548,1.16416,0.170731}, 
{2.68848,1.16416,0.542642}, 
{2.82998,1.16417,1.02121}, 
{3.11298,1.16413,0.922837}, 
{3.25448,1.16416,-0.179699}, 
{0.0707247,1.28669,0.0677972}, 
{0.495222,1.28669,0.499906}, 
{0.778234,1.2867,0.0477497}, 
{0.919734,1.2867,0.124899}, 
{1.34422,1.2867,0.521025}, 
{1.62723,1.28669,0.575308}, 
{1.76873,1.28669,1.32615}, 
{2.05174,1.2867,1.37879}, 
{2.19324,1.2867,0.30413}, 
{2.47624,1.2867,0.211985}, 
{2.61774,1.2867,0.407686}, 
{2.90075,1.2867,1.85405}, 
{3.32522,1.2867,-0.534791}, 
{0.141484,1.40922,-0.175515}, 
{0.282984,1.40925,0.108059}, 
{0.565982,1.40923,-0.103901}, 
{0.707482,1.40924,-0.0534677}, 
{0.990496,1.40924,0.457061}, 
{1.41498,1.40923,-0.00897326}, 
{1.55648,1.40924,0.177633}, 
{1.83948,1.40923,0.627124}, 
{1.98098,1.40924,0.705649}, 
{2.26399,1.40924,0.0823105}, 
{2.40549,1.40924,0.118441}, 
{2.68849,1.40924,0.463805}, 
{2.82999,1.40924,0.807462}, 
{3.25446,1.40924,-0.334339}, 
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{0.495236,1.53178,-0.30149}, 
{0.778233,1.53178,-0.00087831}, 
{0.919733,1.53177,0.13351}, 
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{2.47623,1.53179,0.157959}, 
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{3.04224,1.53181,0.455576}, 
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{0.28297,1.65433,-0.417088}, 
{0.565986,1.65432,-0.196449}, 
{0.707486,1.65432,0.00604892}, 
{0.990476,1.65432,0.106779}, 
{1.13198,1.65434,0.0467161}, 
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{1.55648,1.65432,0.144174}, 
{1.83949,1.65431,0.0504401}, 
{1.98099,1.65433,-0.0920306}, 
{2.26398,1.65431,0.237136}, 
{2.40548,1.65433,0.206919}, 
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{3.11299,1.65435,-0.0697331}, 
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{0.35373,1.77686,-0.428184}, 
{0.49523,1.77686,-0.201981}, 
{0.778235,1.77687,0.281973}, 
{0.919735,1.77687,0.21639}, 
{1.20274,1.77687,-0.0273937}, 
{1.34424,1.77687,0.0617077}, 
{1.62724,1.77686,0.446966}, 
{1.76874,1.77686,0.232278}, 
{2.05175,1.77687,-0.00366157}, 
{2.47623,1.77687,0.590334}, 
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{2.90072,1.77687,0.144399}, 
{3.04222,1.77688,0.0118864}, 
{3.32523,1.77687,-0.173756}, 
{0.14148,1.8994,1.02011}, 
{0.28298,1.8994,-0.061488}, 
{0.565979,1.8994,0.17958}, 
{0.707479,1.89941,0.835386}, 
{0.990494,1.8994,0.440723}, 
{1.13199,1.89942,-0.0329292}, 
{1.415,1.89941,0.366622}, 
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{1.83948,1.8994,0.293736}, 
{1.98098,1.8994,0.00525588}, 
{2.40546,1.89941,1.61209}, 
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{2.82997,1.89941,0.22748}, 
{3.11299,1.89942,-0.00597278}, 
{3.25449,1.89941,-0.092036}, 
{0.0707248,2.02194,0.636689}, 
{0.353732,2.02195,-0.058178}, 
{0.495232,2.02194,0.0810127}, 
{1.20274,2.02196,-0.140002}, 
{1.34424,2.02195,0.0609502}, 
{1.76874,2.02195,1.1271}, 
{2.05174,2.02194,0.317189}, 
{2.19324,2.02198,1.20302}, 
{2.47623,2.02194,0.845124}, 
{2.61773,2.02196,0.433377}, 
{2.90076,2.02192,0.26099}, 
{3.04226,2.02197,0.106698}, 
{3.32522,2.02196,-0.0906011}, 
{0.141485,2.14448,0.374416}, 
{0.282984,2.14449,0.0356299}, 
{0.565983,2.14449,0.144408}, 
{0.707483,2.14449,0.471678}, 
{0.990483,2.14449,-0.148388}, 
{1.13198,2.1445,-0.218279}, 
{1.41499,2.14449,0.573905}, 
{1.83948,2.14449,0.604341}, 
{1.98098,2.14448,0.294743}, 
{2.264,2.14452,0.728224}, 
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{0.565992,2.38958,-0.061663}, 
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{0.0707321,2.51211,1.44201}, 
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{0.495241,2.51212,-0.097323}, 
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{3.04225,2.51212,-0.343601}, 
{3.32523,2.51212,-0.207826}, 
{0.14149,2.63464,0.760709}, 
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{0.565986,2.63466,-0.200649}, 
{0.990483,2.63467,0.38127}, 
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{1.41498,2.63467,0.080896}, 
{1.55648,2.63466,0.131224}, 
{2.26399,2.63466,0.318763}, 
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{1.62723,2.7572,0.187936}, 
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{3.04224,2.75721,0.138748}, 
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{0.14149,2.87974,0.363203}, 
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{0.565983,2.87975,-0.409196}, 
{0.707483,2.87975,-0.416919}, 
{0.99048,2.87975,-0.115925}, 
{1.13198,2.87975,-0.0307684}, 
{1.41498,2.87975,0.0458043}, 
{1.55648,2.87975,0.118416}, 
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{2.40549,2.87975,0.230943}, 
{2.68848,2.87976,0.269828}, 
{2.82998,2.87976,0.305987}, 
{0.0707505,3.00229,0.393115}, 
{0.353735,3.00229,0.400262}, 
{0.495235,3.0023,-0.338383}, 
{0.778234,3.00229,-0.349416}, 
{0.919734,3.00229,-0.222599}, 
{1.20273,3.00229,-0.0503835}, 
{1.34423,3.00229,-0.000876455}, 
{1.62723,3.00229,0.197986}, 
{1.76873,3.00228,0.612382}, 
{2.05173,3.00227,1.57516}, 
{2.19323,3.0023,0.482992}, 
{2.47623,3.0023,0.264858}, 
{2.61773,3.0023,0.374041}, 
{2.90073,3.0023,0.630716}, 
{3.04223,3.00228,0.969562}, 
{3.32525,3.00228,0.694023}, 
{0.141493,3.12484,0.767782}, 
{0.565987,3.12484,-0.426869}, 
{0.707487,3.12484,-0.36955}, 
{0.990482,3.12484,-0.171065}, 
{1.13198,3.12483,-0.0992636}, 
{1.41498,3.12483,0.00664908}, 
{1.55648,3.12484,0.0897731}, 
{1.83947,3.12483,1.42719}, 
{2.26396,3.12485,0.458249}, 
{2.40546,3.12483,0.304871}, 
{2.68848,3.12484,0.801844}, 
{2.82998,3.12485,1.08225}, 
{3.11299,3.12482,0.735036}, 
{3.25449,3.12482,0.543969}, 
{0.0707704,3.2474,0.337828}, 
{0.495241,3.24738,0.0492609}, 
{0.778239,3.24738,-0.266473}, 
{0.919739,3.24738,-0.191448}, 
{1.20273,3.24737,-0.0773949}, 
{1.34423,3.24738,-0.0336819}, 
{1.62723,3.24738,0.104047}, 
{1.76873,3.24738,0.35747}, 
{2.1932,3.24738,1.35879}, 
{2.47622,3.24737,0.423317}, 
{2.61772,3.24738,1.0282}, 
{2.90075,3.24738,1.71781}, 
{3.04225,3.24737,0.920995}, 
{3.32527,3.24734,0.391254}, 
{0.141494,3.36996,0.398991}, 
{0.282994,3.36993,0.781157}, 
{0.565987,3.36993,-0.142879}, 
{0.707488,3.36992,-0.214649}, 
{0.990493,3.36992,-0.13519}, 
{1.13199,3.36992,-0.0936401}, 
{1.41499,3.36992,-0.0212588}, 
{1.55649,3.36992,0.0246321}, 
{1.83948,3.36992,0.392014}, 
{1.98098,3.36993,1.38817}, 
{2.26397,3.36991,0.686709}, 
{2.40547,3.36991,0.401295}, 
{3.113,3.36991,0.697915}, 
{3.2545,3.36987,0.410655}, 
{0.350533,0.545888,-3.34869}, 
{0.286178,0.434433,-3.12058}, 
{3.11939,2.87975,-3.85729}, 
{3.24809,2.87974,-3.97301}, 
{1.63364,0.551441,-2.89924}, 
{1.76234,0.551449,-2.45674}, 
{3.2577,0.17828,-2.21177}, 
{3.322,0.0667906,-2.87983}, 
{2.19645,1.78241,-3.95525}, 
{2.26076,1.89388,-2.79573}, 
{0.784635,2.02195,-3.4546}, 
{0.913335,2.02194,-3.7655}, 
{1.62404,2.02749,-2.66478}, 
{1.55969,2.13895,-2.61346}, 
{3.04545,1.29223,-2.72883}, 
{3.10976,1.40371,-3.71563}, 
{1.19954,0.0668163,-3.07412}, 
{1.13518,0.178269,-3.79084}, 
{2.4087,0.423353,-3.80006}, 
{2.47304,0.311891,-2.87613}, 
{2.83324,2.38408,-3.94676}, 
{2.89749,2.27256,-3.89199}, 
{0.0739331,1.77132,-2.43054}, 
{0.13827,1.65985,-3.79017}, 
{1.19952,1.29223,-3.81822}, 
{1.1352,1.40371,-3.82112}, 
{0.710686,2.62912,-4.17169}, 
{0.775036,2.51766,-3.21561}, 
{1.97458,1.16415,-2.66581}, 
{1.84588,1.16415,-2.24801}, 
{2.0485,3.24183,-2.45355}, 
{1.98417,3.13036,-2.41862}, 
{0.286188,1.16969,-3.49617}, 
{0.350522,1.28116,-3.46633}, 
{0.286193,3.13038,-3.37545}, 
{0.350541,3.24184,-3.61583}, 
{1.97459,2.63466,-3.70206}, 
{1.84589,2.63466,-3.88873}, 
{0.147892,2.38957,-2.94446}, 
{0.276592,2.38957,-3.06616}, 
{0.987283,0.679529,-2.82093}, 
{0.922936,0.790989,-3.25907}, 
{2.69488,3.36991,-2.91215}, 
{2.82358,3.36992,-2.66107}}; 

대단히 감사합니다. 플롯의 모든 값을 포함 ListDensityPlot에서 PlotRange -> All 설정

앤드류 드영 카네기 멜론 대학

답변

4

. 또한 슬캘링되는 ColorFunction에 공급되는 데이터를 방지하기 위해 ColorFunctionScaling -> False을 설정해야합니다

Show[{ListDensityPlot[mydata, FrameLabel -> {"x", "y"}, 
    ColorFunction -> (Blend[{{-4.5, Blue}, {4.5, Red}}, #] &), 
    ImageSize -> 500, 
    ColorFunctionScaling -> False, 
    PlotRange -> All], 
    Graphics[Map[Text[ToString[Round[#[[3]], 0.1]], #[[1 ;; 2]]] &, 
    mydata]]}] 

Mathematica graphics