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PO
primarykey
Id
6773337
data
AcceptedAnswerId
0
AnswerCount
0
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0
CommunityOwnedDate
CreationDate
2011-07-21T08:39:16.253
FavoriteCount
0
LastActivityDate
2011-07-21T08:47:18.890
LastEditDate
2011-07-21T08:47:18.890
LastEditorUserId
212538
OwnerUserId
212538
ParentId
6770378
PostTypeId
2
Score
5
ViewCount
0
LastEditorDisplayName
text
Body
Here is a very hackish approach: Grab the mesh lines in the output and look for intersections. It is quite doable since the output is a <code>GraphicsComplex</code>. First, find the indices of the mesh line points in the graphics complex: <pre><code>g=Plot3D[Sin[x+y^2],{x,-3,3},{y,-2,2},Mesh->{1,4},Boxed->False]; meshlineptindices=First/@Cases[g, _Line, Infinity] </code></pre> Now, go through the lines pairwise and look for intersections. The following, uses <code>NestWhile</code> to recursively look at all pairs (first line, another line) for shorter and shorter sublists of the original list of meshlines. The resulting intersections are returned via <code>Sow</code>: <pre><code>intesectionindices= Flatten@Reap@NestWhile[( Sow@Outer[Intersection,{First[#]},Rest[#],1]; Rest[#] )&, meshlineptindices, Length[#]>0&] Out[4]= {1260,1491,1264,1401,1284,1371,1298,1448,1205,1219,1528,1525,1526,1527} </code></pre> Look up the indices in the <code>GraphicsComplex</code>: <pre><code>intesections = Part[g[[1,1]],intesectionindices] Out[5]= {{-3.,-1.2,-0.997667},{3.,-1.2,-0.961188},<...>,{0.,1.2,0.977754}} </code></pre> Finally, show the points together with original graphics: <pre><code>Show[g,Graphics3D[{Red,PointSize[Large],Point[intesections]}]] </code></pre> <img src="https://i.stack.imgur.com/Uu7KC.png" alt="output graphics"> HTH Update: To get the colored points, you could just use <pre><code>Graphics3D[{PointSize[Large],({colorfunction[Last@#],Point[#]}&)/@intesections]}] </code></pre>
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1. POPlot3D: Drawing Points at Mesh Intersections
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1. PTAnswer
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1. USJanus
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1. USJanus
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