# ListPointPlot3D with connected points?

With the command ListPlot[data,Joined -> True] I can visually connect adjacent data points in the array with lines. However, this option appears to be missing in ListPointPlot3D? Is there some manner with which to join with to join (with a line) adjacent three-dimensional points? There will be a large number of points in my data structure, and I'd really like to keep the standard output format of ListPointPlot3D.

• 'Adjacent can have a rather fuzzy meaning. Are the points on one surface or segregated to some fixed number of surfaces? If so, you can just use ListPlot3D. – ciao Jan 24 '14 at 5:15
• @rasher Adjacent just means that the elements in the array are next to one another, e.g. {A,B,C,D,...} would have "A" next to "B", "B" is next to both "A" and "C", and so forth. – 110110 Jan 24 '14 at 5:17
• @rasher The problem with ListPlot3D is that I don't want a surface, I just want a "chain" of connected points like this: mars.cs.umn.edu/projects/current/VisionAidedINS_MSCKF/… – 110110 Jan 24 '14 at 5:26

pts = RandomReal[{0, 1}, {19, 3}];
Show[ListPointPlot3D@pts, Graphics3D@Line@pts] Edit:

Something slightly more useful as an example:

data = RandomFunction[RandomWalkProcess[0.3], {0, 10^2}, 3];
pts = Transpose@data["States"];
Show[ListPointPlot3D@#, Graphics3D@Line@#] &@pts • Very very nice. – 110110 Jan 24 '14 at 5:35
• Why not Graphics3D[{Point@pkt, Line@pkt}]? Because of axes etc? – Kuba Jan 24 '14 at 8:09
• @Kuba The OP said "I'd really like to keep the standard output format of ListPointPlot3D", and I think he better way to keep the format of ListPointPlot3D[] is by using it :) – Dr. belisarius Jan 24 '14 at 11:13
• oh, right :) +1 :P – Kuba Jan 24 '14 at 11:21

One can use ListPointPlot3D and then replace Point with Line. By this way, the plot can enjoy options of ListPointPlot3D:

ListPointPlot3D[...]/. Point[a___] :> {Thick, Line[a]}

• This is great!! I think your answer is better than Dr. belisarius. belisarius's method join points with black lines. However, if there are groups of curve data, your method gives consistent color in each curve, fantastic! – matheorem Apr 1 '16 at 15:08

I was in the same situation, and what worked really well for me was this answer from a different question.

I'll start off with the random data generated by Dr belisarius:

data = RandomFunction[RandomWalkProcess[0.3], {0, 10^2}, 3];
pts = Transpose@data["States"];
ListPointPlot3D[pts, ColorFunction -> "SouthwestColors"] pts is a list of points {{x1,y1,z1},{x2,y2,z2},...}, we convert this to a list of the form {{t1,{x1,y1,z1}},{t2,{x2,y2,z2}},...}:

ptsT = Transpose[{Range[1, Length@pts], pts}]


We then create a function to interpolate ptsT, which we can plot using ParametericPlot3D:

func = Interpolation[ptsT];
ParametricPlot3D[func[\[Tau]], {\[Tau], 1, Length@pts},
ColorFunction ->
Function[{x, y, z, t}, ColorData["SouthwestColors"][z]]]
` 