Estoy usando Xualatex en Texlive con PGFplot 1.13 y quiero trazar suavemente una superficie discreta, algo como esto (solo para ilustrar, este no es mi problema).
Mi código y mis datos:
\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}
Encontrarás el código con la tabla completa aquí.
El resultado es:
Básicamente obtengo una línea que pasa por todos los puntos. Lo que quiero: quiero una superficie, es decir, una interpolación de la superficie entre los puntos de datos. ¿Cómo hago esto? Encontré la opción addplot3, shader=interp-, pero esto no funciona aquí pero da como resultado
Error de pgfplots del paquete: CRÍTICO: shader=interp: tengo el tipo de sombreado de pdf no admitido '0'. ¡Esto puede dañar tu pdf!. \end{eje}
El pgfmanual trata principalmente sobre el gráfico de funciones continuas, y las soluciones que encontré en la web fueron soluciones para matrices de datos discretos de DATOS y no para una lista de datos.
Gracias por tu tiempo.
Respuesta1
La tabla debe poder transformarse en una matriz, por lo tanto, siempre requiere el mismo número de puntos de muestreo (en este ejemplo más pequeño, 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}
EDITAR
Ahora un gráfico con el conjunto de datos casi completo. Simplemente descarté los puntos en la cuadrícula más fina (ancho de paso de 2,5) para asegurarme de que cada valor en la primera fila tenga la misma cantidad de puntos en la segunda fila. También tenga en cuenta que mesh/cols=21se actualiza de acuerdo con el tamaño del conjunto de datos y que agregué z buffer = sortpara obtener información de profundidad correcta en el gráfico.
\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
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-85 5 0.0101553
-85 10 0.0101936
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-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
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-65 50 0.065499
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-65 90 0.0616514
-65 95 0.069209
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-60 100 0.0633594
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-45 30 0.0322991
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-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
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-20 100 0.0138676
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-5 100 0.00454422
0 0 -0.00912383
0 5 -0.00875956
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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}
EDITAR 2
Por supuesto, es posible agregar más valores de x, lo que podría ser lo que usted desee hacer. Pero todavía necesitan el mismo ymuestreo que antes...
Un ejemplo con un poco más de tus datos. (Puntos adicionales, por ejemplo, en 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
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-85 50 0.0102221
-85 55 0.0104293
-85 60 0.0106782
-85 65 0.0102876
-85 70 0.00850681
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-85 90 0.00068327
-85 95 0.0104809
-85 100 0.0338374
-82.5 0 0.0603545
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-82.5 25 0.0599969
-82.5 30 0.0600116
-82.5 35 0.0608373
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-82.5 60 0.0601314
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-82.5 95 0.0617971
-82.5 100 0.0807216
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-80 5 0.0394088
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-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
-70 5 0.0646034
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\end{document}