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11 votes
Accepted

Visibility Polygon

Edit Test non-convex case. ...
cvgmt's user avatar
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7 votes

Volume of Region Contained by 3D Data Points

Volume under the surface ...
Greg Hurst's user avatar
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6 votes

Tomographic Reconstruction of a Convex Polyhedron from its Orthographic Projections

We only need the data of the boundary points of the projections. ...
cvgmt's user avatar
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5 votes
Accepted

Graphing the locus of points a unit distance from a rectangular prism

One way is RegionDilation according to a unit ball Ball[{0, 0, 0}, 1]. ...
cvgmt's user avatar
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5 votes

Visibility Polygon

I am using v12.2.0 on Win7-x64. This is too slow for dynamic work but hopefully will be useful in more static cases, or at least as a verification aid while developing your own algorithms. ...
Syed's user avatar
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4 votes
Accepted

Computation time unexpectedly long for a Volume

If I replace 0 by 0. in your inequality for z, it completes fairly quickly. ...
jdp's user avatar
  • 656
3 votes

Computation time unexpectedly long for a Volume

...
Bob Hanlon's user avatar
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3 votes

Tomographic Reconstruction of a Convex Polyhedron from its Orthographic Projections

Try ...
Ulrich Neumann's user avatar
3 votes

Volume of Region Contained by 3D Data Points

Just to illustrate closeness of other answers to analytic answer for this volume of revolution: ...
ubpdqn's user avatar
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2 votes

Volume of Region Contained by 3D Data Points

Use the xyzdata and int in the question. We define a ImplicitRegion bounded by that surface....
cvgmt's user avatar
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2 votes

Graphing the locus of points a unit distance from a rectangular prism

...
Syed's user avatar
  • 38.1k
2 votes

Point Belonging to a Disk in a Cartesian Coordinate System

Using Outer and RegionMember: ...
Syed's user avatar
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2 votes

Assign BoundaryStyle to more than one region in Region Plot using a theme

System`PlotThemeDump`resolvePlotTheme["Default", "RegionPlot"] You can customize the default theme of ...
azerbajdzan's user avatar
  • 7,094
2 votes

Computation time unexpectedly long for a Volume

For revolution 3D, it is recommend to help Mathematica to calculate its volume by the formula, that is, for every 2D region reg, we rotate it around the ...
cvgmt's user avatar
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2 votes

Restrict the background colour in a ParametricPlot region

You can (1) replace Red with Blue in definition of bg and (2) post-process ...
kglr's user avatar
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1 vote

Restrict the background colour in a ParametricPlot region

The given functions are r[x_] = (-1 + 5 x^4)/(4 x^5); s[x_] = (-1 + 3 x^4)/(2 x^6); Backgrounds ...
user84456's user avatar
  • 1,502
1 vote

Intersection of region with triangular lattice in 2D

The Solve had probably problems with {Sqrt[3] i, 3 (2 j + Mod[i, 2])} but if I use ...
azerbajdzan's user avatar
  • 7,094
1 vote
Accepted

Volume of Region Contained by 3D Data Points

The Mathematica documentation actually has a relevant example that works very well and is similar to what others have been saying. This is the full code for my solution using the example data above: <...
John's user avatar
  • 85
1 vote

Change in graphic style - ConvexHull

...
Syed's user avatar
  • 38.1k

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