Weird shading artifacts in ContourPlot3D

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3
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Drawing certain shapes in ContourPlot3D gets these weird little shady artifacts with any colorfunction other than the default:

ContourPlot3D[1/Sqrt[x^2+y^2+z^2],x,-1,1,y,0,1,z,-1,1,Ticks->None,Contours->Range[5],ColorFunction->"TemperatureMap"]

gives

weird shading

while the same thing with the default colors gives smoothly shaded, pretty contours.

I see a lot of articles about weird plotting artifacts, but I haven't found any about this one in particular. Any thoughts on how to get rid of the artifacts?

asked 1 hour ago

Grant Larsen

161

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up vote
3
down vote

favorite

Drawing certain shapes in ContourPlot3D gets these weird little shady artifacts with any colorfunction other than the default:

ContourPlot3D[1/Sqrt[x^2+y^2+z^2],x,-1,1,y,0,1,z,-1,1,Ticks->None,Contours->Range[5],ColorFunction->"TemperatureMap"]

gives

weird shading

while the same thing with the default colors gives smoothly shaded, pretty contours.

I see a lot of articles about weird plotting artifacts, but I haven't found any about this one in particular. Any thoughts on how to get rid of the artifacts?

asked 1 hour ago

Grant Larsen

161

New contributor

add a commentÂ |Â

up vote
3
down vote

favorite

Drawing certain shapes in ContourPlot3D gets these weird little shady artifacts with any colorfunction other than the default:

ContourPlot3D[1/Sqrt[x^2+y^2+z^2],x,-1,1,y,0,1,z,-1,1,Ticks->None,Contours->Range[5],ColorFunction->"TemperatureMap"]

gives

weird shading

while the same thing with the default colors gives smoothly shaded, pretty contours.

I see a lot of articles about weird plotting artifacts, but I haven't found any about this one in particular. Any thoughts on how to get rid of the artifacts?

asked 1 hour ago

Grant Larsen

161

New contributor

Drawing certain shapes in ContourPlot3D gets these weird little shady artifacts with any colorfunction other than the default:

ContourPlot3D[1/Sqrt[x^2+y^2+z^2],x,-1,1,y,0,1,z,-1,1,Ticks->None,Contours->Range[5],ColorFunction->"TemperatureMap"]

gives

weird shading

while the same thing with the default colors gives smoothly shaded, pretty contours.

I see a lot of articles about weird plotting artifacts, but I haven't found any about this one in particular. Any thoughts on how to get rid of the artifacts?

plotting color

asked 1 hour ago

Grant Larsen

161

New contributor

asked 1 hour ago

Grant Larsen

161

New contributor

asked 1 hour ago

Grant Larsen

161

New contributor

asked 1 hour ago

Grant Larsen

161

asked 1 hour ago

Grant Larsen

161

New contributor

Grant Larsen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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1 Answer
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up vote
2
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For some reason, the VertexColors of the recursively computed vertices are set incorrectly. I think this should be reported to Wolfram Support.

Anyways, here is a quick fix:

f = x, y, z [Function] 1/Sqrt[x^2 + y^2 + z^2];
g = ContourPlot3D[
 f[x, y, z], x, -1, 1, y, 0, 1, z, -1, 1,
 Ticks -> None, 
 Contours -> Range[5], 
 ColorFunction -> "TemperatureMap"
 ];
pos = Position[g, _GraphicsComplex][[1]];
GC = Extract[g, pos];
colpos = Append[#, 2] & /@ Position[GC, VertexColors -> _][[-1]];
GC = ReplacePart[GC, 
 colpos -> List @@@ (ColorData["TemperatureMap"] /@ Rescale[f @@@ GC[[1]]])
 ];
ReplacePart[g, pos -> GC]

enter image description here

answered 52 mins ago

Henrik Schumacher

41.1k258124

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1 Answer
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1 Answer
1

active

oldest

votes

up vote
2
down vote

For some reason, the VertexColors of the recursively computed vertices are set incorrectly. I think this should be reported to Wolfram Support.

Anyways, here is a quick fix:

f = x, y, z [Function] 1/Sqrt[x^2 + y^2 + z^2];
g = ContourPlot3D[
 f[x, y, z], x, -1, 1, y, 0, 1, z, -1, 1,
 Ticks -> None, 
 Contours -> Range[5], 
 ColorFunction -> "TemperatureMap"
 ];
pos = Position[g, _GraphicsComplex][[1]];
GC = Extract[g, pos];
colpos = Append[#, 2] & /@ Position[GC, VertexColors -> _][[-1]];
GC = ReplacePart[GC, 
 colpos -> List @@@ (ColorData["TemperatureMap"] /@ Rescale[f @@@ GC[[1]]])
 ];
ReplacePart[g, pos -> GC]

enter image description here

answered 52 mins ago

Henrik Schumacher

41.1k258124

add a commentÂ |Â

up vote
2
down vote

For some reason, the VertexColors of the recursively computed vertices are set incorrectly. I think this should be reported to Wolfram Support.

Anyways, here is a quick fix:

f = x, y, z [Function] 1/Sqrt[x^2 + y^2 + z^2];
g = ContourPlot3D[
 f[x, y, z], x, -1, 1, y, 0, 1, z, -1, 1,
 Ticks -> None, 
 Contours -> Range[5], 
 ColorFunction -> "TemperatureMap"
 ];
pos = Position[g, _GraphicsComplex][[1]];
GC = Extract[g, pos];
colpos = Append[#, 2] & /@ Position[GC, VertexColors -> _][[-1]];
GC = ReplacePart[GC, 
 colpos -> List @@@ (ColorData["TemperatureMap"] /@ Rescale[f @@@ GC[[1]]])
 ];
ReplacePart[g, pos -> GC]

enter image description here

answered 52 mins ago

Henrik Schumacher

41.1k258124

add a commentÂ |Â

up vote
2
down vote

For some reason, the VertexColors of the recursively computed vertices are set incorrectly. I think this should be reported to Wolfram Support.

Anyways, here is a quick fix:

f = x, y, z [Function] 1/Sqrt[x^2 + y^2 + z^2];
g = ContourPlot3D[
 f[x, y, z], x, -1, 1, y, 0, 1, z, -1, 1,
 Ticks -> None, 
 Contours -> Range[5], 
 ColorFunction -> "TemperatureMap"
 ];
pos = Position[g, _GraphicsComplex][[1]];
GC = Extract[g, pos];
colpos = Append[#, 2] & /@ Position[GC, VertexColors -> _][[-1]];
GC = ReplacePart[GC, 
 colpos -> List @@@ (ColorData["TemperatureMap"] /@ Rescale[f @@@ GC[[1]]])
 ];
ReplacePart[g, pos -> GC]

enter image description here

answered 52 mins ago

Henrik Schumacher

41.1k258124

For some reason, the VertexColors of the recursively computed vertices are set incorrectly. I think this should be reported to Wolfram Support.

Anyways, here is a quick fix:

f = x, y, z [Function] 1/Sqrt[x^2 + y^2 + z^2];
g = ContourPlot3D[
 f[x, y, z], x, -1, 1, y, 0, 1, z, -1, 1,
 Ticks -> None, 
 Contours -> Range[5], 
 ColorFunction -> "TemperatureMap"
 ];
pos = Position[g, _GraphicsComplex][[1]];
GC = Extract[g, pos];
colpos = Append[#, 2] & /@ Position[GC, VertexColors -> _][[-1]];
GC = ReplacePart[GC, 
 colpos -> List @@@ (ColorData["TemperatureMap"] /@ Rescale[f @@@ GC[[1]]])
 ];
ReplacePart[g, pos -> GC]

enter image description here

answered 52 mins ago

Henrik Schumacher

41.1k258124

answered 52 mins ago

Henrik Schumacher

41.1k258124

answered 52 mins ago

Henrik Schumacher

41.1k258124

answered 52 mins ago

Henrik Schumacher

41.1k258124

add a commentÂ |Â

Grant Larsen is a new contributor. Be nice, and check out our Code of Conduct.

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Grant Larsen is a new contributor. Be nice, and check out our Code of Conduct.

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