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(*CacheID: 232*)


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(*NotebookOptionsPosition[    383404,       6214]*)
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Notebook[{
Cell[BoxData[
    \(<< "\<c:/_Wouter/ConvexHull3Dnew.m\>"\)], "Input"],

Cell[BoxData[
    \(<< RealTime3D`\)], "Input"],

Cell[BoxData[
    \( (*\ \ << Default3D`\ \ *) \)], "Input"],

Cell[BoxData[
    \(<< Graphics`Shapes`\)], "Input"],

Cell[BoxData[
    \(\(uniq[li_List] := 
        Block[{f}, f[g_] := \((f[g] = Sequence[]; g)\); 
          f /@ li];\)\)], "Input"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(?*Hull*\)\)], "Input"],

Cell["\<\
ConvexHull3D  HullArea      HullMeanWidth HullShow      HullVolume\
\>", "Print"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(?ConvexHull3D\)\)], "Input"],

Cell[BoxData[
    \("ConvexHull3D[pointlist:{{x,y,z}..}] calculates the 3D convex hull of a \
set of points in 3D. It returns the indices of the points (their position in \
the input list)  that form plane 3D polygons that together make up the \
polytope spanned by these points. Non spanning points (along the edges or in \
the faces) are optional, but the input should not contain repeats \
(Unique)."\)], "Print"]
}, Open  ]],

Cell["\<\
Inputs containing repeated points will cause ConvexHull3D 's output to refer \
to the input indices *with offending repeats removed* and these then do not \
correspond anymore to the original input. \
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(\(?HullMeanWidth\)\)], "Input"],

Cell[BoxData[
    \("HullMeanWidth[ pointlist:{{x,y,z}..}, hull:{{_Integer..}..}]  The mean \
width of a convex polyhedron P is defined to be (1/2) * mu_1(P) where mu_1(P) \
is given by 1/(2 pi) multipled by the sum over all edges of P of (length of \
an edge) * (corresponding angle between outward normals to the two faces that \
intersect along the edge)."\)], "Print"]
}, Open  ]],

Cell["\<\
Create a random set of points:(*about 100 random points took approx 60 sec on \
a pentium 90 MHz,32Mbyte Ram,winNT3.51  but 2048 points take about 20 s on \
Quadro Windows 7 on 3.4 GHz RAM= 8 Gb*)\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[{
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Cell[BoxData[
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}, Open  ]],

Cell[BoxData[
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Cell[BoxData[{
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Cell[CellGroupData[{

Cell[BoxData[{
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