我在 Texlive 上使用 Xualatex 和 PGFplot 1.13,我想平滑地绘制一个离散曲面,像这样(只是为了说明,这不是我的问题)。
我的代码和我的数据:
\documentclass{standalone}
\usepackage{pgfplots}
\usepgfplotslibrary{patchplots}
\pgfplotsset{compat=1.13}
\begin{document}
\begin{tikzpicture}
\begin{axis}[]
\addplot3[surf]
table [] {
%%% DISCRETE X Y Z DATA %%%
};
\end{axis}
\end{tikzpicture}
\end{document}
结果是:
我基本上得到了一条穿过所有点的线。我想要的是:我想要一个表面,也就是说,在数据点之间进行表面插值。我该怎么做?我找到了 addplot3, shader=interp
-option,但这在这里不起作用,但结果是
软件包 pgfplots 错误:严重:shader=interp:获得不支持的 pdf 着色类型“0”。这可能会损坏您的 pdf!。\end{axis}
pgfmanual 主要涉及连续函数图,我在网上找到的解决方案是 DATA 离散数据矩阵的解决方案,而不是数据列表的解决方案。
感谢您的时间。
答案1
该表必须可转换为矩阵,因此它始终需要相同数量的采样点(在这个较小的例子中为 3x4)
\documentclass{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\begin{document}
\begin{tikzpicture}
\begin{axis}[]
\addplot3[surf,mesh/rows=4,shader=interp]
table [] {
-100 0 0.890242
-100 5 0.891759
-100 10 0.891854
-97.5 0 0.0472445
-97.5 5 0.0464595
-97.5 10 0.0465202
-95 0 -0.113663
-95 5 -0.114502
-95 10 -0.114424
-92.5 0 0.227895
-92.5 5 0.229116
-92.5 10 0.229294
};
\end{axis}
\end{tikzpicture}
\end{document}
编辑
现在,图中包含了几乎完整的数据集。我只是丢弃了更精细(2.5 步宽)网格上的点,以确保第一行中的每个值在第二行中具有相同数量的点。还请注意,这mesh/cols=21
是根据数据集大小进行更新的,并且我z buffer = sort
在图中添加了正确的深度信息。
\documentclass{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{colormaps}
\begin{document}
\begin{tikzpicture}
\begin{axis}[]
\addplot3[surf,mesh/cols=21,shader=interp,z buffer=sort,colormap/viridis]
table []
{-100 0 0.890242
-100 5 0.891759
-100 10 0.891854
-100 15 0.891187
-100 20 0.891288
-100 25 0.891627
-100 30 0.89161
-100 35 0.889975
-100 40 0.891411
-100 45 0.891342
-100 50 0.890376
-100 55 0.8908
-100 60 0.891042
-100 65 0.891422
-100 70 0.890359
-100 75 0.892868
-100 80 0.894885
-100 85 0.896399
-100 90 0.903371
-100 95 0.895422
-100 100 0.789038
-95 0 -0.113663
-95 5 -0.114502
-95 10 -0.114424
-95 15 -0.114218
-95 20 -0.114142
-95 25 -0.114514
-95 30 -0.114592
-95 35 -0.113424
-95 40 -0.114547
-95 45 -0.114289
-95 50 -0.113987
-95 55 -0.113841
-95 60 -0.114299
-95 65 -0.114445
-95 70 -0.113315
-95 75 -0.115157
-95 80 -0.116474
-95 85 -0.119704
-95 90 -0.124744
-95 95 -0.125946
-95 100 -0.0910245
-90 0 -0.153883
-90 5 -0.154824
-90 10 -0.154834
-90 15 -0.154443
-90 20 -0.154291
-90 25 -0.154848
-90 30 -0.154812
-90 35 -0.153392
-90 40 -0.154674
-90 45 -0.154394
-90 50 -0.154004
-90 55 -0.153643
-90 60 -0.154539
-90 65 -0.154699
-90 70 -0.153451
-90 75 -0.15615
-90 80 -0.157962
-90 85 -0.162141
-90 90 -0.161701
-90 95 -0.161825
-90 100 -0.130185
-85 0 0.00912283
-85 5 0.0101553
-85 10 0.0101936
-85 15 0.00971271
-85 20 0.00977144
-85 25 0.01032
-85 30 0.0103496
-85 35 0.0096031
-85 40 0.0104384
-85 45 0.010801
-85 50 0.0102221
-85 55 0.0104293
-85 60 0.0106782
-85 65 0.0102876
-85 70 0.00850681
-85 75 0.00743402
-85 80 0.0048742
-85 85 0.000298269
-85 90 0.00068327
-85 95 0.0104809
-85 100 0.0338374
-80 0 0.039272
-80 5 0.0394088
-80 10 0.0394886
-80 15 0.0393642
-80 20 0.0394712
-80 25 0.0396478
-80 30 0.0396488
-80 35 0.0398504
-80 40 0.0398055
-80 45 0.0401175
-80 50 0.0399814
-80 55 0.0399929
-80 60 0.039754
-80 65 0.0390279
-80 70 0.0380515
-80 75 0.036015
-80 80 0.0336199
-80 85 0.0309498
-80 90 0.0328582
-80 95 0.0428488
-80 100 0.0602838
-75 0 0.0622751
-75 5 0.0618247
-75 10 0.0618694
-75 15 0.062187
-75 20 0.0622391
-75 25 0.0620305
-75 30 0.0622043
-75 35 0.0628393
-75 40 0.0622727
-75 45 0.0625394
-75 50 0.0625974
-75 55 0.0627189
-75 60 0.0619139
-75 65 0.0613664
-75 70 0.0606612
-75 75 0.0581718
-75 80 0.05638
-75 85 0.0544441
-75 90 0.0572797
-75 95 0.0668457
-75 100 0.0801762
-70 0 0.0645191
-70 5 0.0646034
-70 10 0.0646341
-70 15 0.0646918
-70 20 0.0648443
-70 25 0.0648074
-70 30 0.0649239
-70 35 0.0651508
-70 40 0.0650559
-70 45 0.0652394
-70 50 0.0651299
-70 55 0.0651387
-70 60 0.0644883
-70 65 0.0637946
-70 70 0.0628513
-70 75 0.0611306
-70 80 0.0595632
-70 85 0.058235
-70 90 0.060668
-70 95 0.0696308
-70 100 0.0790782
-65 0 0.064869
-65 5 0.0649853
-65 10 0.065092
-65 15 0.0651028
-65 20 0.0653063
-65 25 0.0653267
-65 30 0.0652692
-65 35 0.0654794
-65 40 0.0654436
-65 45 0.0656237
-65 50 0.065499
-65 55 0.0654945
-65 60 0.0649111
-65 65 0.0640349
-65 70 0.0632004
-65 75 0.0618811
-65 80 0.0604164
-65 85 0.0594519
-65 90 0.0616514
-65 95 0.069209
-65 100 0.0777868
-60 0 0.0521012
-60 5 0.0519069
-60 10 0.0519221
-60 15 0.0520155
-60 20 0.0521632
-60 25 0.0520775
-60 30 0.0522229
-60 35 0.0527261
-60 40 0.0523243
-60 45 0.0524736
-60 50 0.0523714
-60 55 0.0523741
-60 60 0.0515217
-60 65 0.0510051
-60 70 0.0507322
-60 75 0.0488871
-60 80 0.0477937
-60 85 0.0467088
-60 90 0.0482752
-60 95 0.0551092
-60 100 0.0633594
-55 0 0.0445773
-55 5 0.0444265
-55 10 0.0444374
-55 15 0.044451
-55 20 0.0446589
-55 25 0.0445716
-55 30 0.044669
-55 35 0.0451928
-55 40 0.0448067
-55 45 0.0449068
-55 50 0.0447231
-55 55 0.0448177
-55 60 0.0440015
-55 65 0.0433819
-55 70 0.043338
-55 75 0.0416083
-55 80 0.0405917
-55 85 0.0394043
-55 90 0.0406738
-55 95 0.0468451
-55 100 0.0544926
-50 0 0.0385063
-50 5 0.0387616
-50 10 0.038835
-50 15 0.0387826
-50 20 0.0387964
-50 25 0.039051
-50 30 0.0390817
-50 35 0.0389553
-50 40 0.0390997
-50 45 0.0392247
-50 50 0.0390029
-50 55 0.0387386
-50 60 0.0385911
-50 65 0.0380272
-50 70 0.0369711
-50 75 0.0361371
-50 80 0.0350073
-50 85 0.0339582
-50 90 0.0348838
-50 95 0.0405394
-50 100 0.0483927
-45 0 0.0319868
-45 5 0.0320539
-45 10 0.0320857
-45 15 0.0320946
-45 20 0.0321906
-45 25 0.032244
-45 30 0.0322991
-45 35 0.0324237
-45 40 0.0323291
-45 45 0.032425
-45 50 0.0322518
-45 55 0.0321145
-45 60 0.0317483
-45 65 0.0312053
-45 70 0.0305852
-45 75 0.0295309
-45 80 0.0284939
-45 85 0.0275173
-45 90 0.0281629
-45 95 0.033167
-45 100 0.0398894
-40 0 0.0274829
-40 5 0.0274908
-40 10 0.0275393
-40 15 0.027577
-40 20 0.0275702
-40 25 0.0276695
-40 30 0.0277726
-40 35 0.0277929
-40 40 0.0277193
-40 45 0.0277977
-40 50 0.0275554
-40 55 0.0274914
-40 60 0.027154
-40 65 0.026782
-40 70 0.0260139
-40 75 0.0250202
-40 80 0.0241737
-40 85 0.0228488
-40 90 0.0238491
-40 95 0.0281195
-40 100 0.0349745
-35 0 0.0230801
-35 5 0.0230516
-35 10 0.0230804
-35 15 0.023145
-35 20 0.0232265
-35 25 0.0231808
-35 30 0.0232302
-35 35 0.0233941
-35 40 0.0232351
-35 45 0.023285
-35 50 0.0231809
-35 55 0.023092
-35 60 0.022656
-35 65 0.0222403
-35 70 0.0217801
-35 75 0.0208057
-35 80 0.0199439
-35 85 0.0190505
-35 90 0.019606
-35 95 0.0233013
-35 100 0.0285802
-30 0 0.0206402
-30 5 0.0203142
-30 10 0.0203473
-30 15 0.0205433
-30 20 0.0206759
-30 25 0.0204423
-30 30 0.0204086
-30 35 0.0209167
-30 40 0.0204581
-30 45 0.0205004
-30 50 0.0206073
-30 55 0.0205024
-30 60 0.0199296
-30 65 0.0194584
-30 70 0.0194772
-30 75 0.0183544
-30 80 0.0175017
-30 85 0.0170997
-30 90 0.0174029
-30 95 0.0202895
-30 100 0.0249889
-25 0 0.0139628
-25 5 0.014102
-25 10 0.0141115
-25 15 0.0140401
-25 20 0.0141183
-25 25 0.0141627
-25 30 0.0142119
-25 35 0.0141946
-25 40 0.0142221
-25 45 0.0142393
-25 50 0.0140314
-25 55 0.0140538
-25 60 0.0136485
-25 65 0.0133743
-25 70 0.0130107
-25 75 0.0122952
-25 80 0.0116699
-25 85 0.0108161
-25 90 0.0112173
-25 95 0.0138145
-25 100 0.0182726
-20 0 0.0105885
-20 5 0.0107151
-20 10 0.0107178
-20 15 0.0106144
-20 20 0.0107609
-20 25 0.0107375
-20 30 0.0107522
-20 35 0.0108191
-20 40 0.0108049
-20 45 0.0108068
-20 50 0.0105874
-20 55 0.0107299
-20 60 0.0102992
-20 65 0.00996492
-20 70 0.00988069
-20 75 0.00921709
-20 80 0.00872713
-20 85 0.00795466
-20 90 0.00828872
-20 95 0.010448
-20 100 0.0138676
-15 0 0.008931
-15 5 0.00891326
-15 10 0.00894475
-15 15 0.0089947
-15 20 0.00892287
-15 25 0.00902571
-15 30 0.0090292
-15 35 0.00899974
-15 40 0.0089735
-15 45 0.00900627
-15 50 0.0089863
-15 55 0.00872863
-15 60 0.00877918
-15 65 0.00859593
-15 70 0.00809283
-15 75 0.00779015
-15 80 0.00731463
-15 85 0.00700118
-15 90 0.00706672
-15 95 0.00873308
-15 100 0.0118705
-10 0 0.00556712
-10 5 0.00564638
-10 10 0.00564453
-10 15 0.00561828
-10 20 0.00563384
-10 25 0.00568475
-10 30 0.00568739
-10 35 0.00563811
-10 40 0.00568113
-10 45 0.00568391
-10 50 0.00560133
-10 55 0.00551431
-10 60 0.0055277
-10 65 0.00533903
-10 70 0.00503378
-10 75 0.00488871
-10 80 0.00454932
-10 85 0.00427259
-10 90 0.00431207
-10 95 0.00552837
-10 100 0.00715035
-5 0 0.00357331
-5 5 0.00340655
-5 10 0.00343857
-5 15 0.00354074
-5 20 0.0034475
-5 25 0.00345455
-5 30 0.00350679
-5 35 0.00357505
-5 40 0.00340554
-5 45 0.0034489
-5 50 0.00347615
-5 55 0.00340327
-5 60 0.00337427
-5 65 0.003396
-5 70 0.00326812
-5 75 0.00292378
-5 80 0.00292057
-5 85 0.00267006
-5 90 0.00289266
-5 95 0.00344394
-5 100 0.00454422
0 0 -0.00912383
0 5 -0.00875956
0 10 -0.00882539
0 15 -0.00911983
0 20 -0.00861476
0 25 -0.00902569
0 30 -0.00907842
0 35 -0.00888248
0 40 -0.00881594
0 45 -0.00880447
0 50 -0.00908106
0 55 -0.00867053
0 60 -0.00923458
0 65 -0.00950475
0 70 -0.00895749
0 75 -0.00890865
0 80 -0.00881627
0 85 -0.00929848
0 90 -0.00959197
0 95 -0.0101012
0 100 -0.0102158
};
\end{axis}
\end{tikzpicture}
\end{document}
编辑2
当然,您可以添加更多 x 值,这可能是您想要做的。但它们仍然需要y
与之前相同的采样...
包含更多数据的示例。(附加点,例如 x=-97.5,...)
\documentclass[convert]{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=newest}
\usepgfplotslibrary{colormaps}
\begin{document}
\begin{tikzpicture}
\begin{axis}[view={5}{20}]
\addplot3[surf,mesh/cols=21,mesh/ordering=x varies, shader=interp,colormap/viridis,z buffer = sort,join=round]
table []
{-100 0 0.890242
-100 5 0.891759
-100 10 0.891854
-100 15 0.891187
-100 20 0.891288
-100 25 0.891627
-100 30 0.89161
-100 35 0.889975
-100 40 0.891411
-100 45 0.891342
-100 50 0.890376
-100 55 0.8908
-100 60 0.891042
-100 65 0.891422
-100 70 0.890359
-100 75 0.892868
-100 80 0.894885
-100 85 0.896399
-100 90 0.903371
-100 95 0.895422
-100 100 0.789038
-97.5 0 0.0472445
-97.5 5 0.0464595
-97.5 10 0.0465202
-97.5 15 0.0467339
-97.5 20 0.046771
-97.5 25 0.0463781
-97.5 30 0.0462845
-97.5 35 0.0473997
-97.5 40 0.0463126
-97.5 45 0.0464037
-97.5 50 0.0466736
-97.5 55 0.0466961
-97.5 60 0.0461123
-97.5 65 0.0461535
-97.5 70 0.0477886
-97.5 75 0.0469181
-97.5 80 0.0476309
-97.5 85 0.0471997
-97.5 90 0.050453
-97.5 95 0.0409994
-97.5 100 0.0274539
-95 0 -0.113663
-95 5 -0.114502
-95 10 -0.114424
-95 15 -0.114218
-95 20 -0.114142
-95 25 -0.114514
-95 30 -0.114592
-95 35 -0.113424
-95 40 -0.114547
-95 45 -0.114289
-95 50 -0.113987
-95 55 -0.113841
-95 60 -0.114299
-95 65 -0.114445
-95 70 -0.113315
-95 75 -0.115157
-95 80 -0.116474
-95 85 -0.119704
-95 90 -0.124744
-95 95 -0.125946
-95 100 -0.0910245
-90 0 -0.153883
-90 5 -0.154824
-90 10 -0.154834
-90 15 -0.154443
-90 20 -0.154291
-90 25 -0.154848
-90 30 -0.154812
-90 35 -0.153392
-90 40 -0.154674
-90 45 -0.154394
-90 50 -0.154004
-90 55 -0.153643
-90 60 -0.154539
-90 65 -0.154699
-90 70 -0.153451
-90 75 -0.15615
-90 80 -0.157962
-90 85 -0.162141
-90 90 -0.161701
-90 95 -0.161825
-90 100 -0.130185
-87.5 0 0.0702012
-87.5 5 0.0698165
-87.5 10 0.0697102
-87.5 15 0.0699685
-87.5 20 0.0700177
-87.5 25 0.0697628
-87.5 30 0.0699044
-87.5 35 0.0706515
-87.5 40 0.070021
-87.5 45 0.070117
-87.5 50 0.0705476
-87.5 55 0.0704744
-87.5 60 0.0700972
-87.5 65 0.0698478
-87.5 70 0.0698847
-87.5 75 0.067667
-87.5 80 0.064931
-87.5 85 0.0615626
-87.5 90 0.0604824
-87.5 95 0.0663312
-87.5 100 0.0852354
-85 0 0.00912283
-85 5 0.0101553
-85 10 0.0101936
-85 15 0.00971271
-85 20 0.00977144
-85 25 0.01032
-85 30 0.0103496
-85 35 0.0096031
-85 40 0.0104384
-85 45 0.010801
-85 50 0.0102221
-85 55 0.0104293
-85 60 0.0106782
-85 65 0.0102876
-85 70 0.00850681
-85 75 0.00743402
-85 80 0.0048742
-85 85 0.000298269
-85 90 0.00068327
-85 95 0.0104809
-85 100 0.0338374
-82.5 0 0.0603545
-82.5 5 0.0597912
-82.5 10 0.0598671
-82.5 15 0.0601708
-82.5 20 0.0603278
-82.5 25 0.0599969
-82.5 30 0.0600116
-82.5 35 0.0608373
-82.5 40 0.0601616
-82.5 45 0.0604566
-82.5 50 0.0606274
-82.5 55 0.0610388
-82.5 60 0.0601314
-82.5 65 0.059579
-82.5 70 0.0594379
-82.5 75 0.0567261
-82.5 80 0.0541166
-82.5 85 0.0510373
-82.5 90 0.052505
-82.5 95 0.0617971
-82.5 100 0.0807216
-80 0 0.039272
-80 5 0.0394088
-80 10 0.0394886
-80 15 0.0393642
-80 20 0.0394712
-80 25 0.0396478
-80 30 0.0396488
-80 35 0.0398504
-80 40 0.0398055
-80 45 0.0401175
-80 50 0.0399814
-80 55 0.0399929
-80 60 0.039754
-80 65 0.0390279
-80 70 0.0380515
-80 75 0.036015
-80 80 0.0336199
-80 85 0.0309498
-80 90 0.0328582
-80 95 0.0428488
-80 100 0.0602838
-77.5 0 0.0312866
-77.5 5 0.0315573
-77.5 10 0.0315928
-77.5 15 0.0314655
-77.5 20 0.0315329
-77.5 25 0.0317495
-77.5 30 0.0318559
-77.5 35 0.0318683
-77.5 40 0.0319875
-77.5 45 0.0322524
-77.5 50 0.0320216
-77.5 55 0.0320503
-77.5 60 0.031659
-77.5 65 0.0310816
-77.5 70 0.029935
-77.5 75 0.0279992
-77.5 80 0.025887
-77.5 85 0.0235086
-77.5 90 0.025888
-77.5 95 0.0356641
-77.5 100 0.0513903
-75 0 0.0622751
-75 5 0.0618247
-75 10 0.0618694
-75 15 0.062187
-75 20 0.0622391
-75 25 0.0620305
-75 30 0.0622043
-75 35 0.0628393
-75 40 0.0622727
-75 45 0.0625394
-75 50 0.0625974
-75 55 0.0627189
-75 60 0.0619139
-75 65 0.0613664
-75 70 0.0606612
-75 75 0.0581718
-75 80 0.05638
-75 85 0.0544441
-75 90 0.0572797
-75 95 0.0668457
-75 100 0.0801762
-72.5 0 0.0298162
-72.5 5 0.0298861
-72.5 10 0.0300149
-72.5 15 0.02986
-72.5 20 0.0301774
-72.5 25 0.0301335
-72.5 30 0.0300849
-72.5 35 0.0306007
-72.5 40 0.0303007
-72.5 45 0.0306575
-72.5 50 0.0304066
-72.5 55 0.0304834
-72.5 60 0.0299733
-72.5 65 0.0289518
-72.5 70 0.0283574
-72.5 75 0.0263678
-72.5 80 0.0249127
-72.5 85 0.0230265
-72.5 90 0.0255419
-72.5 95 0.034722
-72.5 100 0.0483058
-70 0 0.0645191
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