plotting - How to plot customly-shaped set of 3D points each connected to its neighbors?

Consider the following code:

ListPointPlot3D[
 Flatten[#, 1] &@
  Table[{x, y, 1}, {x, 0, 5, 5/60}, {y, Sin[x], Cos[x] + 3, (

    Cos[x] + 3 - Sin[x])/60}], PlotRange -> All]

If I change ListPointPlot3D to ListPlot3D, I get the following:

Apparently, ListPlot3D connects the points not in an expected way.

How to plot the set so that the neighboring points were connected with each other, not the far ones?

Answer

If the points form a deformed rectangular grid, then you can use the method below; otherwise, the methods of the following question should work:

DelaunayMesh in a specified closed region - creating a concave hull from a set of points

For a tensor grid of points:

pts = N@Table[{x, y, Cos[x] Sin[y]},  (* varying height *)
    {x, 0, 5, 5/60},
    {y, Sin[x], Cos[x] + 3, (Cos[x] + 3 - Sin[x])/60}];

With[{p = Flatten[pts, 1]},
 Graphics3D[
  GraphicsComplex[
   p,
   {EdgeForm[], ColorData[97][2],

    Polygon[
     Flatten[#][[{1, 2, 4, 3}]] & /@ Flatten[Partition[
        Partition[Range@Length@p, Length@First@pts],
        {2, 2}, {1, 1}],
       1]
     ]}
   ]]]

Mathematica graphics

It works even better if the height is a constant 1.

Comments

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