Bounding Regions

Version 11 provides bounding regions for points and meshes in any dimension for display, spatial query, or spatial indexing purposes.

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mesh = ExampleData[{"Geometry3D", "SpaceShuttle"}, "Region"]

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Find the minimum volume ball that encapsulates the mesh.

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BoundingRegion[mesh, "MinBall"]

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Showcase the mesh within various bounding regions.

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showMeshGrid[mesh_, names_] := Grid[Partition[ Framed[Show[{mesh, Graphics3D[{Opacity[.5], BoundingRegion[mesh, #]}]}, PlotLabel -> #, PlotRange -> {{-8, 10}, {-8, 8}, {-6, 10}}, Method -> {"ShrinkWrap" -> False}], RoundingRadius -> 10, Background -> Lighter[Gray, 0.9], FrameMargins -> 10, FrameStyle -> GrayLevel[0.5]] & /@ names, 2, 2, 1]]

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showMeshGrid[mesh, {"MinCuboid", "MinBall", "FastCylinder", "FastCapsule"}]

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