Creating a tube plot from external data with pgfplots and tikz

I have the following MWE

\documentclass[border=10pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{width=7cm,compat=1.8}
\usepackage{pgfplotstable}
\begin{document}
\begin{tikzpicture}

\pgfplotstableread{
T1 T3 v11   v12 v13
0   0 0.66582 0.76 0.63
1   .000125 0.66582 0.76    0.63
2   .00025 0.66582  0.76    0.63
3   .000375 0.66582 0.76    0.63
4   .0005 0.66582   0.76    0.63
5   .000625 0.66582 0.76    0.63
6   .00075 0.66582  0.76    0.63
7   .000875 0.66582 0.76    0.63
8   .001 0.66582    0.76    0.63
9   .001125 0.66582 0.76    0.63
}\dummydata
\begin{axis}[
domain=-4:4,
samples y=0
]
{
\addplot3[mark = none, color = green] table [x =T1, y =T3, z=v11]
{\dummydata};
\addplot3[mark = none, color = red] table [x =T1, y =T3, z=v12]
{\dummydata};
\addplot3[mark = none, color = blue] table [x =T1, y =T3, z=v13]
{\dummydata};

}
\end{axis}
\end{tikzpicture}
\end{document}


with which I can create:

However, now what I am trying to do is to create a tube-like region around the solid-red line using the information (data) of solid-blue and -green, respectively. Such that final plot will be somehthing like this:

(You can ignore the gray-rectangular semi-transparent plane). Any help is appreciated.

Now as per @marmot suggestion, a more complicated data-set where I wish to achieve the tube-like area:

\documentclass[border=10pt]{standalone}
\usepackage{pgfplots}
\pgfplotsset{width=7cm,compat=1.8}
\usepackage{pgfplotstable}
\begin{document}
\begin{tikzpicture}

\pgfplotstableread[col sep = comma]{
tm,xm,xmd,xpd,ym,ymd,ypd
0,0,0,0,0,0,0
0.04,0,0,0,0,0,0
0.08,0,0,0,0,0,0
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0.16,0.31078,-2.4179,3.0395,-0.54815,-3.9037,2.8074
0.2,0.32704,-2.4167,3.0707,-0.57982,-3.9058,2.7461
0.24,0.26665,-2.4367,2.97,-0.70117,-3.9647,2.5624
0.28,0.21992,-2.283,2.7228,-0.86952,-3.9877,2.2486
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6.76,6.4335,6.1771,6.6899,0.24583,0.11987,0.37179
6.8,6.4503,6.2052,6.6953,0.24771,0.12392,0.3715
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6.96,6.5899,6.3593,6.8205,0.25022,0.14516,0.35527
7,6.6188,6.4196,6.818,0.24323,0.19472,0.29175
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\begin{axis}[
xlabel = {$x$ [$\sim$]},
ylabel = {$y$ [$\sim$]},
zlabel = {$z$ [$\sim$]},
legend cell align={left},
]
{
\addplot3 [mark = none, color = blue] table [x =xm, y =ym, z=tm]
{\dummydata};
\addplot3 [mark = none, color = green] table [x =xmd, y =ymd, z=tm]
{\dummydata};
\addplot3 [mark = none, color = red] table [x =xpd, y =ypd, z=tm]
{\dummydata};
\legend{the center, radius 1, radius 2}
}
\end{axis}
\end{tikzpicture}
\end{document}


Which will give me:

Here considering the solid-blue as my center, and solid-green and -red as outer radii for the tube, I wish to achieve the tube-like region.

• What you could do is plot something like the top and bottom lines using \addplot3 then draw the circles (ellipses?) using regular tikz commands. The tricky bit is computing the x and y radii to scale. – John Kormylo Nov 30 '18 at 14:31
• @JohnKormylo I tried your comment even before posting here but to much of my expectations it was unsuccessful indeed. Because, exactly at the radius part, I could no longer move forward (I got literally lost, up till now). In addition, I could not successfully recreate the shaded region with gradients. – Raaja Nov 30 '18 at 14:48
• See tex.stackexchange.com/questions/228711/… for example. And you might need pgfplotstable to access the data. – John Kormylo Nov 30 '18 at 15:02
• I am not sure but believe that it would be a bit easier to draw this with tikz-3dplot. My main problem is, though, that I do not see how one would get the desired output from 3 parallel lines. Wouldn't one get a straight tube here? – marmot Nov 30 '18 at 15:04
• @Raaja, Asymptote is considered a TeX friend, it uses TeX internally and it integrates well with LaTeX. It is basically a programming language (just as TeX) for creating 2D and 3D scenes. You will see many Asymptote Q&A in this site. Also, there is an asy package to integrate Asymptote code in a LaTeX document. – alfC Dec 11 '18 at 9:09

1 Answer

This is not an answer but to illustrate why I do not know what to do with your data. Yes, it is simple, but unfortunately it is not really suited to test some nontrivial things. So the following may or may not work for some real data (most likely it won't but I do not have the patience to create some data).

\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{tikz-3dplot}
\usetikzlibrary{3d}
\usepackage{pgfplotstable}
% from https://tex.stackexchange.com/a/445369/121799
\newcommand*{\ReadOutElement}[4]{%
\pgfplotstablegetelem{#2}{#3}\of{#1}%
\let#4\pgfplotsretval
}
\begin{document}

\tdplotsetmaincoords{60}{30}
\begin{tikzpicture}[tdplot_main_coords]
\pgfplotstableread{
T1 T3 v11   v12 v13
0   0 0.66582 0.76 0.63
1   .000125 0.66582 0.76    0.63
2   .00025 0.66582  0.76    0.63
3   .000375 0.66582 0.76    0.63
4   .0005 0.66582   0.76    0.63
5   .000625 0.66582 0.76    0.63
6   .00075 0.66582  0.76    0.63
7   .000875 0.66582 0.76    0.63
8   .001 0.66582    0.76    0.63
9   .001125 0.66582 0.76    0.63
}\dummydata
\pgfplotstablegetrowsof{\dummydata}
\pgfmathtruncatemacro{\rownum}{\pgfplotsretval-1}
\foreach \X in {1,...,\rownum}
{\ReadOutElement{\dummydata}{\X}{T1}{\tmpx}
\ReadOutElement{\dummydata}{\X}{T3}{\tmpy}
\ReadOutElement{\dummydata}{\X}{v11}{\tmpz}
\ReadOutElement{\dummydata}{\X}{v12}{\tmpRone}
\ReadOutElement{\dummydata}{\X}{v13}{\tmpRtwo} % will be ignored
\typeout{\tmpx,\tmpy,\tmpz,\tmpRone}
\begin{scope}[canvas is yz plane at x=\tmpx,transform shape]
\node[draw,circle,minimum size=\tmpRone] (c-\X) at (\tmpy,\tmpz){};
\end{scope}
}
\draw plot[samples at={1,...,\rownum},variable=\x,smooth] (c-\x.80);
\draw plot[samples at={1,...,\rownum},variable=\x,smooth] (c-\x.-100);
\end{tikzpicture}
\end{document}


Here is a status report on the example with more complex data. The result is far from perfect. Even though one can achieve some features by cheating or some analytic computation or approximation, it always comes back to the fact that TikZ does not have a 3d engine.

\documentclass[tikz,border=3.14mm]{standalone}
\usepackage{tikz-3dplot}
\usetikzlibrary{3d,calc,backgrounds}
\usepackage{pgfplotstable}
% from https://tex.stackexchange.com/a/445369/121799
\newcommand*{\ReadOutElement}[4]{%
\pgfplotstablegetelem{#2}{#3}\of{#1}%
\let#4\pgfplotsretval
}
\begin{document}
\pgfplotstableread[col sep = comma]{
tm,xm,xmd,xpd,ym,ymd,ypd
0,0,0,0,0,0,0
0.04,0,0,0,0,0,0
0.08,0,0,0,0,0,0
0.12,0.34111,-2.4039,3.0861,-0.51786,-3.8303,2.7946
0.16,0.31078,-2.4179,3.0395,-0.54815,-3.9037,2.8074
0.2,0.32704,-2.4167,3.0707,-0.57982,-3.9058,2.7461
0.24,0.26665,-2.4367,2.97,-0.70117,-3.9647,2.5624
0.28,0.21992,-2.283,2.7228,-0.86952,-3.9877,2.2486
0.32,0.16058,-2.1158,2.437,-0.96921,-3.8313,1.8929
0.36,0.015983,-1.9724,2.0043,-1.0393,-3.6891,1.6105
0.4,-0.052178,-1.767,1.6626,-1.1558,-3.5265,1.2149
0.44,-0.12252,-1.5715,1.3265,-1.1154,-3.2262,0.99543
0.48,-0.15534,-1.3355,1.0248,-1.09,-2.9273,0.74723
0.52,-0.15089,-1.1588,0.85702,-1.0373,-2.7046,0.63006
0.56,-0.13807,-1.0788,0.80265,-0.96654,-2.4969,0.56384
0.6,-0.088093,-0.97758,0.80139,-0.90801,-2.3491,0.5331
0.64,-0.069781,-0.94086,0.80129,-0.89427,-2.3047,0.5162
0.68,-0.020531,-0.94687,0.90581,-0.818,-2.2231,0.58707
0.72,-0.027254,-0.96119,0.90668,-0.83075,-2.173,0.51149
0.76,-0.031288,-0.94815,0.88558,-0.82597,-2.2118,0.55987
0.8,-0.031409,-0.91782,0.855,-0.80136,-2.1164,0.51368
0.84,-0.063101,-0.84579,0.71959,-0.82437,-2.0932,0.44447
0.88,-0.09426,-0.80363,0.61511,-0.81774,-2.0294,0.39393
0.92,-0.12187,-0.71312,0.46938,-0.82512,-1.9138,0.26358
0.96,-0.13254,-0.63217,0.36709,-0.83908,-1.8382,0.16004
1,-0.12502,-0.64794,0.3979,-0.8046,-1.709,0.099775
1.04,-0.11963,-0.55243,0.31316,-0.8349,-1.6507,-0.019066
1.08,-0.1045,-0.58747,0.37847,-0.83788,-1.6403,-0.035508
1.12,-0.062444,-0.56731,0.44242,-0.78585,-1.4928,-0.078868
1.16,-0.079204,-0.6093,0.4509,-0.8005,-1.5141,-0.086878
1.2,-0.084476,-0.60549,0.43653,-0.80424,-1.5102,-0.098265
1.24,-0.082068,-0.5689,0.40476,-0.79587,-1.4862,-0.10553
1.28,-0.099081,-0.57148,0.37332,-0.78828,-1.4717,-0.1049
1.32,-0.13329,-0.60353,0.33696,-0.81407,-1.4543,-0.17382
1.36,-0.096508,-0.47577,0.28276,-0.78266,-1.4171,-0.14827
1.4,-0.14497,-0.56515,0.27521,-0.81147,-1.3793,-0.24363
1.44,-0.12127,-0.51149,0.26894,-0.78772,-1.3515,-0.22388
1.48,-0.1217,-0.51802,0.27463,-0.78803,-1.3051,-0.271
1.52,-0.12173,-0.51559,0.27214,-0.79021,-1.2825,-0.29787
1.56,-0.10114,-0.51495,0.31267,-0.77804,-1.2414,-0.31463
1.6,-0.1014,-0.50952,0.30672,-0.76874,-1.1943,-0.34319
1.64,-0.11196,-0.48854,0.26461,-0.7622,-1.1585,-0.36586
1.68,-0.053825,-0.4586,0.35095,-0.71589,-1.108,-0.32376
1.72,-0.078095,-0.43485,0.27866,-0.73016,-1.0662,-0.39413
1.76,-0.080373,-0.47621,0.31547,-0.72842,-1.1203,-0.33655
1.8,-0.039621,-0.40915,0.3299,-0.68146,-1.0132,-0.34977
1.84,-0.062119,-0.43261,0.30837,-0.69357,-1.0315,-0.35569
1.88,-0.057911,-0.41945,0.30363,-0.67735,-1.0079,-0.34684
1.92,-0.053722,-0.40234,0.29489,-0.67227,-0.95972,-0.38482
1.96,-0.065276,-0.39114,0.26058,-0.68735,-0.94931,-0.42539
2,-0.037894,-0.39006,0.31428,-0.66806,-0.90303,-0.43309
2.04,-0.036814,-0.31968,0.24605,-0.66693,-0.89665,-0.4372
2.08,-0.038017,-0.35327,0.27724,-0.67016,-0.9178,-0.42253
2.12,-0.0097459,-0.29652,0.27703,-0.64795,-0.86252,-0.43338
2.16,-0.017039,-0.3108,0.27673,-0.64223,-0.86004,-0.42443
2.2,-0.010354,-0.3032,0.28249,-0.63579,-0.8435,-0.42808
2.24,-0.0075316,-0.2807,0.26564,-0.61478,-0.78884,-0.44073
2.28,-0.011665,-0.31125,0.28792,-0.60756,-0.75897,-0.45614
2.32,-0.031825,-0.32928,0.26563,-0.6092,-0.71376,-0.50465
2.36,0.00065694,-0.29614,0.29746,-0.5606,-0.70139,-0.41982
2.4,0.0043591,-0.30116,0.30988,-0.55409,-0.65516,-0.45303
2.44,0.00056132,-0.32006,0.32119,-0.54239,-0.64429,-0.44049
2.48,0.0080039,-0.31491,0.33092,-0.54615,-0.64203,-0.45027
2.52,0.017543,-0.29376,0.32884,-0.54204,-0.62597,-0.45812
2.56,0.043735,-0.25843,0.3459,-0.52438,-0.58751,-0.46125
2.6,0.053718,-0.2384,0.34583,-0.49305,-0.52909,-0.45702
2.64,0.046364,-0.20966,0.30239,-0.47018,-0.53222,-0.40814
2.68,0.079327,-0.20243,0.36109,-0.37582,-0.40642,-0.34523
2.72,0.072251,-0.20886,0.35336,-0.34565,-0.38803,-0.30328
2.76,0.051764,-0.2224,0.32593,-0.323,-0.37129,-0.27472
2.8,0.049093,-0.22782,0.32601,-0.25679,-0.30908,-0.2045
2.84,0.038224,-0.23386,0.31031,-0.23561,-0.29658,-0.17464
2.88,0.02659,-0.27056,0.32374,-0.196,-0.29468,-0.097316
2.92,0.003124,-0.31375,0.32,-0.17749,-0.27682,-0.078165
2.96,-0.0018435,-0.29729,0.2936,-0.16058,-0.27943,-0.041725
3,-0.006709,-0.39879,0.38537,-0.15632,-0.21252,-0.10013
3.04,-0.033639,-0.35582,0.28854,-0.15892,-0.24118,-0.076667
3.08,-0.032483,-0.38838,0.32341,-0.14021,-0.18432,-0.096106
3.12,-0.029824,-0.36757,0.30792,-0.11038,-0.15382,-0.066938
3.16,-0.037045,-0.38856,0.31447,-0.095147,-0.16009,-0.030209
3.2,-0.05167,-0.40226,0.29892,-0.06759,-0.11908,-0.016101
3.24,-0.049338,-0.39622,0.29754,-0.051711,-0.123,0.019576
3.28,-0.042641,-0.37827,0.29299,-0.028917,-0.13901,0.081174
3.32,-0.087298,-0.44836,0.27376,-0.034339,-0.11291,0.044231
3.36,-0.063621,-0.40711,0.27987,-0.0035416,-0.16211,0.15503
3.4,-0.056421,-0.4119,0.29906,0.019537,-0.087551,0.12663
3.44,-0.075507,-0.46623,0.31522,-0.013768,-0.15164,0.1241
3.48,-0.063827,-0.44935,0.3217,0.0064244,-0.11088,0.12373
3.52,-0.063597,-0.45513,0.32794,0.011473,-0.076058,0.099004
3.56,-0.050908,-0.45053,0.34871,0.03448,-0.045832,0.11479
3.6,-0.033273,-0.46869,0.40214,0.050067,-0.015407,0.11554
3.64,-0.066905,-0.44499,0.31118,0.017897,-0.067961,0.10375
3.68,-0.046271,-0.48794,0.39539,0.033531,-0.069233,0.1363
3.72,-0.05138,-0.45257,0.34981,0.05112,-0.029063,0.1313
3.76,-0.070642,-0.49432,0.35304,0.014393,-0.11913,0.14792
3.8,-0.070007,-0.47799,0.33798,0.030181,-0.093617,0.15398
3.84,-0.078997,-0.47921,0.32122,0.0099555,-0.13733,0.15724
3.88,-0.064307,-0.46206,0.33344,0.011714,-0.11396,0.13738
3.92,-0.068079,-0.46893,0.33277,0.018777,-0.09173,0.12928
3.96,-0.053161,-0.42124,0.31492,0.01825,-0.099128,0.13563
4,-0.022433,-0.49323,0.44836,0.037708,-0.02134,0.096756
4.04,-0.033149,-0.45834,0.39204,0.04793,-0.032419,0.12828
4.08,-0.041493,-0.47415,0.39117,0.040858,-0.021069,0.10278
4.12,-0.057713,-0.46698,0.35155,0.039439,-0.042223,0.1211
4.16,-0.054769,-0.44338,0.33385,0.048358,-0.047295,0.14401
4.2,-0.063519,-0.46221,0.33517,0.038351,-0.041262,0.11796
4.24,-0.063892,-0.44782,0.32004,0.036186,-0.068824,0.1412
4.28,-0.056123,-0.40631,0.29407,0.0476,-0.064233,0.15943
4.32,-0.094136,-0.45608,0.2678,0.015395,-0.083746,0.11454
4.36,-0.073154,-0.4461,0.29979,0.030337,-0.14479,0.20547
4.4,-0.050985,-0.42611,0.32414,0.06799,-0.017188,0.15317
4.44,-0.069921,-0.47383,0.33399,0.056972,-0.075461,0.1894
4.48,-0.05228,-0.46064,0.35608,0.083086,-0.0056697,0.17184
4.52,-0.05134,-0.45118,0.3485,0.096423,0.0019748,0.19087
4.56,-0.052724,-0.46209,0.35664,0.086379,-0.011513,0.18427
4.6,-0.043504,-0.50302,0.41601,0.080933,-0.015713,0.17758
4.64,-0.084016,-0.46078,0.29275,0.036149,-0.07109,0.14339
4.68,-0.05337,-0.4727,0.36596,0.051233,-0.075305,0.17777
4.72,-0.047571,-0.43556,0.34042,0.058992,-0.021999,0.13998
4.76,-0.076011,-0.486,0.33398,0.020806,-0.10033,0.14194
4.8,-0.06046,-0.46313,0.34221,0.052942,-0.049416,0.1553
4.84,-0.063963,-0.48172,0.3538,0.046092,-0.050885,0.14307
4.88,-0.05335,-0.48394,0.37724,0.066777,-0.038134,0.17169
4.92,-0.056813,-0.49169,0.37807,0.079715,-0.030218,0.18965
4.96,-0.053435,-0.43036,0.32349,0.089452,-0.027211,0.20611
5,-0.053848,-0.52124,0.41355,0.10071,-0.0093193,0.21073
5.04,-0.083567,-0.50769,0.34056,0.073753,-0.090077,0.23758
5.08,-0.07258,-0.45966,0.3145,0.08868,-0.05089,0.22825
5.12,0.00084803,-0.39465,0.39635,0.048857,-0.12497,0.22269
5.16,0.13554,-0.27892,0.55001,0.041207,-0.12962,0.21203
5.2,0.40825,-0.069637,0.88613,0.050071,-0.1298,0.22994
5.24,0.67117,0.21572,1.1266,0.048443,-0.10058,0.19747
5.28,1.0633,0.45878,1.6678,0.090288,-0.08581,0.26638
5.32,1.4693,0.80123,2.1374,0.089672,-0.070362,0.24971
5.36,1.7759,1.0413,2.5104,0.11808,-0.08123,0.31739
5.4,2.2478,1.4725,3.0231,0.18277,0.021067,0.34448
5.44,2.6068,1.7448,3.4688,0.19036,0.0073643,0.37336
5.48,2.909,2.0545,3.7635,0.19718,0.0052129,0.38915
5.52,3.2663,2.3967,4.136,0.20015,0.031327,0.36896
5.56,3.5597,2.6781,4.4413,0.20717,0.042911,0.37144
6.76,6.4335,6.1771,6.6899,0.24583,0.11987,0.37179
6.8,6.4503,6.2052,6.6953,0.24771,0.12392,0.3715
6.84,6.4881,6.2321,6.7441,0.25109,0.13723,0.36495
6.88,6.5094,6.2602,6.7585,0.24703,0.13902,0.35503
6.92,6.5216,6.2973,6.7459,0.25129,0.16407,0.33851
6.96,6.5899,6.3593,6.8205,0.25022,0.14516,0.35527
7,6.6188,6.4196,6.818,0.24323,0.19472,0.29175
7.04,6.6412,6.3826,6.8998,0.23618,0.14959,0.32277
7.08,6.6917,6.412,6.9713,0.24519,0.18214,0.30823
7.12,6.7147,6.3912,7.0383,0.2398,0.18131,0.2983
7.16,6.7315,6.3803,7.0827,0.24463,0.15948,0.32977
7.2,6.7522,6.381,7.1235,0.26291,0.16465,0.36116
7.24,6.7502,6.3647,7.1358,0.25668,0.11773,0.39564
7.28,6.7824,6.4031,7.1617,0.28356,0.14323,0.42389
7.32,6.7894,6.4244,7.1545,0.27849,0.12083,0.43615
7.36,6.8157,6.4514,7.18,0.27862,0.10427,0.45297
7.4,6.8482,6.5263,7.1701,0.30119,0.14656,0.45583
7.44,6.8305,6.4684,7.1927,0.29605,0.14886,0.44324
7.48,6.8442,6.4659,7.2226,0.30386,0.15869,0.44903
7.52,6.8506,6.4286,7.2727,0.30484,0.15302,0.45666
7.56,6.8496,6.4125,7.2867,0.29756,0.1237,0.47142
7.6,6.8548,6.4366,7.273,0.25163,0.14919,0.35408
7.64,6.8741,6.4435,7.3046,0.1238,-0.039884,0.28748
7.68,6.8937,6.5022,7.2853,-0.017529,-0.14808,0.11302
7.72,6.9162,6.5359,7.2964,-0.32985,-0.48445,-0.17526
7.76,6.9465,6.5946,7.2984,-0.59723,-0.69643,-0.49803
7.8,6.9923,6.6637,7.3208,-0.97282,-1.171,-0.77466
7.84,7.0541,6.7295,7.3786,-1.4468,-1.6747,-1.219
7.88,7.0898,6.7545,7.425,-1.7771,-2.0199,-1.5343
7.92,7.1271,6.7552,7.4989,-2.2983,-2.5595,-2.037
7.96,7.1138,6.6874,7.5402,-2.7553,-3.1106,-2.4001
8,7.0718,6.6872,7.4564,-3.0869,-3.4405,-2.7333
8.04,7.0063,6.5691,7.4436,-3.5022,-3.8674,-3.137
8.08,6.9727,6.5442,7.4012,-3.7816,-4.1216,-3.4416
8.12,6.9554,6.5244,7.3865,-4.1073,-4.5071,-3.7075
8.16,6.9803,6.5929,7.3678,-4.4256,-4.8657,-3.9854
8.2,7.0041,6.6295,7.3787,-4.6424,-5.0375,-4.2473
8.24,7.0188,6.656,7.3815,-4.8274,-5.2412,-4.4135
8.28,7.0472,6.6968,7.3976,-4.9368,-5.2982,-4.5754
8.32,7.0483,6.6807,7.4159,-5.0095,-5.2984,-4.7206
8.36,7.0263,6.6358,7.4167,-5.0906,-5.3505,-4.8308
8.4,7.0195,6.6356,7.4033,-5.1708,-5.4009,-4.9407
8.44,7.0289,6.6191,7.4388,-5.2772,-5.501,-5.0533
8.48,7.063,6.661,7.465,-5.4327,-5.6855,-5.1798
8.52,7.0909,6.6867,7.4952,-5.5987,-5.8348,-5.3625
8.56,7.1166,6.6788,7.5543,-5.8046,-6.1261,-5.4831
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19.92,4.6429,4.3666,4.9192,-5.1293,-5.5824,-4.6763
19.96,4.6292,4.3271,4.9313,-5.1395,-5.6057,-4.6732
20,4.6227,4.3073,4.9381,-5.127,-5.5838,-4.6702
20.04,4.6365,4.3139,4.9591,-5.1243,-5.57,-4.6787
20.08,4.6179,4.2308,5.0049,-5.2145,-5.6812,-4.7477
20.12,4.5253,4.15,4.9006,-5.1936,-5.6417,-4.7455
20.16,4.387,3.9901,4.7839,-5.1153,-5.5297,-4.7008
20.2,4.0763,3.6647,4.4879,-5.0668,-5.5119,-4.6217
20.24,3.839,3.5204,4.1576,-5.0116,-5.4439,-4.5793
20.28,3.589,3.2374,3.9406,-4.9881,-5.4315,-4.5447
20.32,3.3876,3.0685,3.7067,-4.9713,-5.4325,-4.51
}\dummydata
\tdplotsetmaincoords{60}{30}
\begin{tikzpicture}[tdplot_main_coords]
% global stuff
\begin{scope}[canvas is yz plane at x=0,transform shape]
\node[circle,minimum size=6pt](c-0)  at (0,0){};
\path let \p1=($(c-0.east)-(c-0.center)$),\n1={atan2(\y1,\x1)}
in \pgfextra{\xdef\shadingangle{\n1}};
\end{scope}
\pgfplotstablegetrowsof{\dummydata}
\pgfmathtruncatemacro{\rownum}{\pgfplotsretval-1}
\foreach \X [remember=\X as \LastX] in {1,...,\rownum}
{\ReadOutElement{\dummydata}{\X}{xm}{\tmpx}
\ReadOutElement{\dummydata}{\X}{ym}{\tmpy}
\ReadOutElement{\dummydata}{\X}{tm}{\tmpz}
\ReadOutElement{\dummydata}{\X}{tm}{\tmpRone}
\ReadOutElement{\dummydata}{\X}{tm}{\tmpRtwo} % will be ignored
%\typeout{\tmpx,\tmpy,\tmpz,\tmpRone}
\begin{scope}[canvas is yz plane at x=\tmpx,transform shape]
\node[circle,minimum size=\tmpRone](c-\X)  at (\tmpy,\tmpz){};
\end{scope}
\ifnum\X=1
\else
\begin{scope}[on background layer]
\draw let \p1=($(c-\X.center)-(c-\LastX.center)$),
\p2=($(c-\X.north)-(c-\X.center)$), \p3=($(c-\X.east)-(c-\X.center)$),
\n1={atan2(\y1,\x1)},\n2={atan2(\y3,\x3)},\n3={\n1-2*\n2}
in \pgfextra{%\typeout{theta=\n1,\n2}
\xdef\lastang{\n3}}
[top color=orange!20,bottom color=orange!50,shading angle=\n1+180]
(c-\X.\n3)
-- (c-\LastX.\n3) -- (c-\LastX.\n3+180)
-- (c-\X.\n3+180);
\end{scope}
\fi
\begin{scope}[canvas is yz plane at x=\tmpx,transform shape]
\node[circle,draw,minimum size=\tmpRone,
top color=orange!20,bottom color=orange!50,shading angle=\shadingangle](c-\X)  at (\tmpy,\tmpz){};
\end{scope}
}
\end{tikzpicture}
\end{document}


After a few glasses of honey liquor it starts resembling a tube. ;-)

• I just got this epiphany for testing the non-trivial data-sets (didn't get the inner meaning of your comment). I will update my question with a more challenging data-set in a while. (+1) for showing the initial idea. – Raaja Dec 1 '18 at 4:38
• I have updated the question with a much more complicated data-set. I hope that is sufficient ;) Sorry for the delays on the update, I had to pre-process the data to fit here :D – Raaja Dec 5 '18 at 7:42
• @Raaja Thanks! I will try to do something. At least it is conceptually interesting, not sure if anyone has computed the tangents to circles in a 3d diagram so far. I hope to find the time to solve it. (In principle it is a combination of existing tricks.) – marmot Dec 5 '18 at 16:13
• @Raaja Thanks, I do not think I deserve it but I will try to find a solution soon. These days are crazy, I only have 5 minutes windows here and there, so I could not patch things together. The analytic formula here, which is of course trivial in the case of circles, is actually only a downgrade of a style that I wrote for this answer, but then there were unexpected difficulties when patching things together. – marmot Dec 12 '18 at 7:53
• better to look at it on a Saturday night;) – Raaja Dec 16 '18 at 20:56