Draw bounding region by list of points
$begingroup$
Suppose you have a list of data points, either in 2D or 3D; is it possible to plot the minimal bounding region containing all the points?
Ignoring holes etc.
plotting regions computational-geometry
edited yesterday
MarcoB
37k556113
asked yesterday
MKFMKF
2108
$endgroup$
|
show 1 more comment
$begingroup$
Suppose you have a list of data points, either in 2D or 3D; is it possible to plot the minimal bounding region containing all the points?
Ignoring holes etc.
plotting regions computational-geometry
edited yesterday
MarcoB
37k556113
asked yesterday
MKFMKF
2108
$endgroup$
$begingroup$
my gut instinct is that InterpolationPoint might be the option to consider
$endgroup$
– MKF
yesterday
3
$begingroup$
Are you looking forConvexHullMesh?
$endgroup$
– MarcoB
yesterday
$begingroup$
Exactly! is there a way to apply smoothing to it? and perhaps some opacity?
$endgroup$
– MKF
yesterday
$begingroup$
Opacity: sure, it's somewhere in the options. What do you mean by "smoothing" though? Do you have an example in mind?
$endgroup$
– MarcoB
yesterday
$begingroup$
It seems convexhullmesh will give a quite polygonal/linear shape. Is there anyway to somehow round the shape?
$endgroup$
– MKF
yesterday
|
show 1 more comment
$begingroup$
Suppose you have a list of data points, either in 2D or 3D; is it possible to plot the minimal bounding region containing all the points?
Ignoring holes etc.
plotting regions computational-geometry
edited yesterday
MarcoB
37k556113
asked yesterday
MKFMKF
2108
$endgroup$
Suppose you have a list of data points, either in 2D or 3D; is it possible to plot the minimal bounding region containing all the points?
Ignoring holes etc.
plotting regions computational-geometry
plotting regions computational-geometry
edited yesterday
MarcoB
37k556113
asked yesterday
MKFMKF
2108
edited yesterday
MarcoB
37k556113
asked yesterday
MKFMKF
2108
edited yesterday
MarcoB
37k556113
edited yesterday
MarcoB
37k556113
edited yesterday
MarcoB
37k556113
37k556113
asked yesterday
MKFMKF
2108
asked yesterday
MKFMKF
2108
asked yesterday
MKFMKF
2108
2108
$begingroup$
my gut instinct is that InterpolationPoint might be the option to consider
$endgroup$
– MKF
yesterday
3
$begingroup$
Are you looking forConvexHullMesh?
$endgroup$
– MarcoB
yesterday
$begingroup$
Exactly! is there a way to apply smoothing to it? and perhaps some opacity?
$endgroup$
– MKF
yesterday
$begingroup$
Opacity: sure, it's somewhere in the options. What do you mean by "smoothing" though? Do you have an example in mind?
$endgroup$
– MarcoB
yesterday
$begingroup$
It seems convexhullmesh will give a quite polygonal/linear shape. Is there anyway to somehow round the shape?
$endgroup$
– MKF
yesterday
|
show 1 more comment
$begingroup$
my gut instinct is that InterpolationPoint might be the option to consider
$endgroup$
– MKF
yesterday
3
$begingroup$
Are you looking forConvexHullMesh?
$endgroup$
– MarcoB
yesterday
$begingroup$
Exactly! is there a way to apply smoothing to it? and perhaps some opacity?
$endgroup$
– MKF
yesterday
$begingroup$
Opacity: sure, it's somewhere in the options. What do you mean by "smoothing" though? Do you have an example in mind?
$endgroup$
– MarcoB
yesterday
$begingroup$
It seems convexhullmesh will give a quite polygonal/linear shape. Is there anyway to somehow round the shape?
$endgroup$
– MKF
yesterday
$begingroup$
my gut instinct is that InterpolationPoint might be the option to consider
$endgroup$
– MKF
yesterday
$begingroup$
my gut instinct is that InterpolationPoint might be the option to consider
$endgroup$
– MKF
yesterday
3
3
$begingroup$
Are you looking for
ConvexHullMesh?$endgroup$
– MarcoB
yesterday
$begingroup$
Are you looking for
ConvexHullMesh?$endgroup$
– MarcoB
yesterday
$begingroup$
Exactly! is there a way to apply smoothing to it? and perhaps some opacity?
$endgroup$
– MKF
yesterday
$begingroup$
Exactly! is there a way to apply smoothing to it? and perhaps some opacity?
$endgroup$
– MKF
yesterday
$begingroup$
Opacity: sure, it's somewhere in the options. What do you mean by "smoothing" though? Do you have an example in mind?
$endgroup$
– MarcoB
yesterday
$begingroup$
Opacity: sure, it's somewhere in the options. What do you mean by "smoothing" though? Do you have an example in mind?
$endgroup$
– MarcoB
yesterday
$begingroup$
It seems convexhullmesh will give a quite polygonal/linear shape. Is there anyway to somehow round the shape?
$endgroup$
– MKF
yesterday
$begingroup$
It seems convexhullmesh will give a quite polygonal/linear shape. Is there anyway to somehow round the shape?
$endgroup$
– MKF
yesterday
|
show 1 more comment
2 Answers
2
active
oldest
votes
$begingroup$
For the 2D case, you can use the shape of the joint to give rounded corners to your shape. For instance:
pts = RandomReal[{-5, 5}, {20, 2}];
ConvexHullMesh[pts]
Retrieve the mesh expressed as a Polygon object and style to your liking:
Graphics[{
Darker@Blue,
EdgeForm[{Darker@Blue, Thickness[0.09], JoinForm["Round"]}],
Cases[Normal[chm["Graphics"]], _Polygon, All]
}]
answered yesterday
MarcoBMarcoB
37k556113
$endgroup$
$begingroup$
Awesome, thanks again!
$endgroup$
– MKF
yesterday
$begingroup$
@MKF You are welcome!
$endgroup$
– MarcoB
yesterday
add a comment |
$begingroup$
Given a set of random 3D points, you can create a mesh that represents the minimum bounding region using BoundingRegion or ConvexHullMesh as MarcoB suggested. ConvexHullMesh is probably the simplest, though BoundingRegion has some nice options for other sorts of regions like the smallest sphere or cuboid.
BlockRandom[SeedRandom[1234]; pts = RandomReal[{-1, 1}, {50, 3}];]
cvx = ConvexHullMesh[pts]
br = BoundingRegion[pts, "MinConvexPolyhedron"]
This should give you two meshes that look identical to this:
You can choose whichever function you prefer. It's also possible to show the points themselves along with the mesh:
Show[HighlightMesh[br, Style[2, Opacity[0.5]]], Graphics3D[Point[pts]]]
answered yesterday
MassDefectMassDefect
1,843311
$endgroup$
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
For the 2D case, you can use the shape of the joint to give rounded corners to your shape. For instance:
pts = RandomReal[{-5, 5}, {20, 2}];
ConvexHullMesh[pts]
Retrieve the mesh expressed as a Polygon object and style to your liking:
Graphics[{
Darker@Blue,
EdgeForm[{Darker@Blue, Thickness[0.09], JoinForm["Round"]}],
Cases[Normal[chm["Graphics"]], _Polygon, All]
}]
answered yesterday
MarcoBMarcoB
37k556113
$endgroup$
$begingroup$
Awesome, thanks again!
$endgroup$
– MKF
yesterday
$begingroup$
@MKF You are welcome!
$endgroup$
– MarcoB
yesterday
add a comment |
$begingroup$
For the 2D case, you can use the shape of the joint to give rounded corners to your shape. For instance:
pts = RandomReal[{-5, 5}, {20, 2}];
ConvexHullMesh[pts]
Retrieve the mesh expressed as a Polygon object and style to your liking:
Graphics[{
Darker@Blue,
EdgeForm[{Darker@Blue, Thickness[0.09], JoinForm["Round"]}],
Cases[Normal[chm["Graphics"]], _Polygon, All]
}]
answered yesterday
MarcoBMarcoB
37k556113
$endgroup$
$begingroup$
Awesome, thanks again!
$endgroup$
– MKF
yesterday
$begingroup$
@MKF You are welcome!
$endgroup$
– MarcoB
yesterday
add a comment |
$begingroup$
For the 2D case, you can use the shape of the joint to give rounded corners to your shape. For instance:
pts = RandomReal[{-5, 5}, {20, 2}];
ConvexHullMesh[pts]
Retrieve the mesh expressed as a Polygon object and style to your liking:
Graphics[{
Darker@Blue,
EdgeForm[{Darker@Blue, Thickness[0.09], JoinForm["Round"]}],
Cases[Normal[chm["Graphics"]], _Polygon, All]
}]
answered yesterday
MarcoBMarcoB
37k556113
$endgroup$
For the 2D case, you can use the shape of the joint to give rounded corners to your shape. For instance:
pts = RandomReal[{-5, 5}, {20, 2}];
ConvexHullMesh[pts]
Retrieve the mesh expressed as a Polygon object and style to your liking:
Graphics[{
Darker@Blue,
EdgeForm[{Darker@Blue, Thickness[0.09], JoinForm["Round"]}],
Cases[Normal[chm["Graphics"]], _Polygon, All]
}]
answered yesterday
MarcoBMarcoB
37k556113
answered yesterday
MarcoBMarcoB
37k556113
answered yesterday
MarcoBMarcoB
37k556113
answered yesterday
MarcoBMarcoB
37k556113
37k556113
$begingroup$
Awesome, thanks again!
$endgroup$
– MKF
yesterday
$begingroup$
@MKF You are welcome!
$endgroup$
– MarcoB
yesterday
add a comment |
$begingroup$
Awesome, thanks again!
$endgroup$
– MKF
yesterday
$begingroup$
@MKF You are welcome!
$endgroup$
– MarcoB
yesterday
$begingroup$
Awesome, thanks again!
$endgroup$
– MKF
yesterday
$begingroup$
Awesome, thanks again!
$endgroup$
– MKF
yesterday
$begingroup$
@MKF You are welcome!
$endgroup$
– MarcoB
yesterday
$begingroup$
@MKF You are welcome!
$endgroup$
– MarcoB
yesterday
add a comment |
$begingroup$
Given a set of random 3D points, you can create a mesh that represents the minimum bounding region using BoundingRegion or ConvexHullMesh as MarcoB suggested. ConvexHullMesh is probably the simplest, though BoundingRegion has some nice options for other sorts of regions like the smallest sphere or cuboid.
BlockRandom[SeedRandom[1234]; pts = RandomReal[{-1, 1}, {50, 3}];]
cvx = ConvexHullMesh[pts]
br = BoundingRegion[pts, "MinConvexPolyhedron"]
This should give you two meshes that look identical to this:
You can choose whichever function you prefer. It's also possible to show the points themselves along with the mesh:
Show[HighlightMesh[br, Style[2, Opacity[0.5]]], Graphics3D[Point[pts]]]
answered yesterday
MassDefectMassDefect
1,843311
$endgroup$
add a comment |
$begingroup$
Given a set of random 3D points, you can create a mesh that represents the minimum bounding region using BoundingRegion or ConvexHullMesh as MarcoB suggested. ConvexHullMesh is probably the simplest, though BoundingRegion has some nice options for other sorts of regions like the smallest sphere or cuboid.
BlockRandom[SeedRandom[1234]; pts = RandomReal[{-1, 1}, {50, 3}];]
cvx = ConvexHullMesh[pts]
br = BoundingRegion[pts, "MinConvexPolyhedron"]
This should give you two meshes that look identical to this:
You can choose whichever function you prefer. It's also possible to show the points themselves along with the mesh:
Show[HighlightMesh[br, Style[2, Opacity[0.5]]], Graphics3D[Point[pts]]]
answered yesterday
MassDefectMassDefect
1,843311
$endgroup$
add a comment |
$begingroup$
Given a set of random 3D points, you can create a mesh that represents the minimum bounding region using BoundingRegion or ConvexHullMesh as MarcoB suggested. ConvexHullMesh is probably the simplest, though BoundingRegion has some nice options for other sorts of regions like the smallest sphere or cuboid.
BlockRandom[SeedRandom[1234]; pts = RandomReal[{-1, 1}, {50, 3}];]
cvx = ConvexHullMesh[pts]
br = BoundingRegion[pts, "MinConvexPolyhedron"]
This should give you two meshes that look identical to this:
You can choose whichever function you prefer. It's also possible to show the points themselves along with the mesh:
Show[HighlightMesh[br, Style[2, Opacity[0.5]]], Graphics3D[Point[pts]]]
answered yesterday
MassDefectMassDefect
1,843311
$endgroup$
Given a set of random 3D points, you can create a mesh that represents the minimum bounding region using BoundingRegion or ConvexHullMesh as MarcoB suggested. ConvexHullMesh is probably the simplest, though BoundingRegion has some nice options for other sorts of regions like the smallest sphere or cuboid.
BlockRandom[SeedRandom[1234]; pts = RandomReal[{-1, 1}, {50, 3}];]
cvx = ConvexHullMesh[pts]
br = BoundingRegion[pts, "MinConvexPolyhedron"]
This should give you two meshes that look identical to this:
You can choose whichever function you prefer. It's also possible to show the points themselves along with the mesh:
Show[HighlightMesh[br, Style[2, Opacity[0.5]]], Graphics3D[Point[pts]]]
answered yesterday
MassDefectMassDefect
1,843311
answered yesterday
MassDefectMassDefect
1,843311
answered yesterday
MassDefectMassDefect
1,843311
answered yesterday
MassDefectMassDefect
1,843311
1,843311
add a comment |
add a comment |
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$begingroup$
my gut instinct is that InterpolationPoint might be the option to consider
$endgroup$
– MKF
yesterday
3
$begingroup$
Are you looking for
ConvexHullMesh?$endgroup$
– MarcoB
yesterday
$begingroup$
Exactly! is there a way to apply smoothing to it? and perhaps some opacity?
$endgroup$
– MKF
yesterday
$begingroup$
Opacity: sure, it's somewhere in the options. What do you mean by "smoothing" though? Do you have an example in mind?
$endgroup$
– MarcoB
yesterday
$begingroup$
It seems convexhullmesh will give a quite polygonal/linear shape. Is there anyway to somehow round the shape?
$endgroup$
– MKF
yesterday