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Region for ListPlot3D

• To: mathgroup at smc.vnet.net
• Subject: [mg88698] Region for ListPlot3D
• From: Hugh Goyder <h.g.d.goyder at cranfield.ac.uk>
• Date: Tue, 13 May 2008 07:08:51 -0400 (EDT)

Below I give a set of 3D points and attempt to plot them as a surface
using ListPlot3D. I also plot the points directly using Graphics3D.
The data fill a region that is approximately a trapezium except that
one side is concave. ListPlot3D extrapolates the concave side out to
the convex hull of the x -y coordinates thus giving a false impression
of the surface. How can I make the plotting region conform to the data
and exclude the extrapolation?

Thanks for any suggestions

Hugh Goyder


pp = {{{0, 0, 0}, {5, 0, 0},
         {10, 0, 0}, {14, 0, 0},
         {19, 0, 0}, {24, 0, 0},
         {29, 0, 0}, {33, 0, 0},
         {38, 0, 0}, {43, 0, 0},
         {48, 0, 0}},
       {{0, 53, 3}, {5, 53, 3},
         {10, 53, 3}, {14, 53,
           3}, {19, 53, 3},
         {24, 53, 3}, {29, 53,
           3}, {33, 53, 3},
         {38, 53, 3}, {43, 53,
           3}, {48, 53, 3}},
       {{0, 107, 18}, {5, 107,
           19}, {10, 107, 19},
         {14, 107, 19},
         {19, 107, 19},
         {24, 107, 18},
         {29, 107, 18},
         {33, 107, 18},
         {38, 107, 18},
         {43, 107, 18},
         {48, 107, 18}},
       {{0, 160, 81}, {5, 160,
           81}, {10, 160, 81},
         {15, 160, 80},
         {20, 160, 80},
         {25, 160, 80},
         {30, 160, 80},
         {35, 160, 79},
         {40, 160, 79},
         {45, 160, 79},
         {50, 160, 79}},
       {{0, 213, 142},
         {6, 213, 142},
         {12, 213, 141},
         {18, 213, 141},
         {25, 213, 140},
         {31, 213, 140},
         {37, 213, 140},
         {43, 213, 139},
         {49, 213, 139},
         {56, 213, 138},
         {62, 213, 138}},
       {{0, 267, 93}, {9, 267,
           93}, {18, 267, 93},
         {27, 267, 93},
         {36, 267, 93},
         {45, 267, 93},
         {54, 267, 92},
         {63, 267, 92},
         {72, 267, 91},
         {82, 267, 91},
         {91, 267, 90}},
       {{0, 320, 60}, {13, 320,
           60}, {26, 320, 60},
         {40, 320, 60},
         {53, 320, 59},
         {66, 320, 59},
         {79, 320, 58},
         {92, 320, 58},
         {105, 320, 58},
         {118, 320, 58},
         {132, 320, 57}},
       {{0, 373, 40}, {18, 373,
           40}, {36, 373, 40},
         {54, 373, 40},
         {72, 373, 40},
         {90, 373, 40},
         {108, 373, 40},
         {126, 373, 40},
         {144, 373, 40},
         {162, 373, 40},
         {180, 373, 40}},
       {{0, 427, 29}, {23, 427,
           29}, {47, 427, 29},
         {70, 427, 29},
         {93, 427, 29},
         {116, 427, 29},
         {140, 427, 29},
         {163, 427, 28},
         {186, 427, 28},
         {210, 427, 28},
         {233, 427, 28}},
       {{0, 480, 22}, {29, 480,
           22}, {58, 480, 22},
         {87, 480, 22},
         {116, 480, 22},
         {145, 480, 22},
         {174, 480, 22},
         {203, 480, 22},
         {232, 480, 22},
         {260, 480, 22},
         {289, 480, 22}},
       {{0, 533, 17}, {35, 533,
           17}, {70, 533, 17},
         {104, 533, 17},
         {139, 533, 17},
         {174, 533, 17},
         {209, 533, 17},
         {244, 533, 17},
         {278, 533, 17},
         {313, 533, 17},
         {348, 533, 17}}};

g1 = Graphics3D[{Point[Flatten[pp, 1]]},
     PlotRange -> All]

g2 = ListPlot3D[Flatten[pp, 1]]

Show[g1, g2]

• Follow-Ups:
  • Re: Region for ListPlot3D
    • From: "W_Craig Carter" <ccarter@mit.edu>