Transforming 2D points on to a regular grid or latticeRotate a grid, made up of lines, so that it aligns with the xy axesMake a series of points curlColor points in ListPointPlot3DCreating a grid of coloured pointsPlot colored grid3d points projected to y-z plane and colorized according x-velocity using a grid for averagingColored grid congruencesTransforming a conic to it's standard formRemoving anomalous points from data
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Transforming 2D points on to a regular grid or lattice
Rotate a grid, made up of lines, so that it aligns with the xy axesMake a series of points curlColor points in ListPointPlot3DCreating a grid of coloured pointsPlot colored grid3d points projected to y-z plane and colorized according x-velocity using a grid for averagingColored grid congruencesTransforming a conic to it's standard formRemoving anomalous points from data
.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty margin-bottom:0;
$begingroup$
I have a set of points in 2D generated by doing a DimensionReduce on a list of colors:
colors = RandomColor[100];
coords = DimensionReduce[colors, 2, Method -> "TSNE"];
ListPlot[Thread[Style[coords, colors, PointSize -> .05]]]

However, I would like to arrange these points into a regular 2D grid (or other lattice) while maintaining neighbourhoods as much as possible.
Is there a function to provide this transformation? Or am I better off writing something to shuffle the colors in a grid to minimise neighbor distances?
color geometric-transform dimension-reduction
$endgroup$
add a comment
|
$begingroup$
I have a set of points in 2D generated by doing a DimensionReduce on a list of colors:
colors = RandomColor[100];
coords = DimensionReduce[colors, 2, Method -> "TSNE"];
ListPlot[Thread[Style[coords, colors, PointSize -> .05]]]

However, I would like to arrange these points into a regular 2D grid (or other lattice) while maintaining neighbourhoods as much as possible.
Is there a function to provide this transformation? Or am I better off writing something to shuffle the colors in a grid to minimise neighbor distances?
color geometric-transform dimension-reduction
$endgroup$
add a comment
|
$begingroup$
I have a set of points in 2D generated by doing a DimensionReduce on a list of colors:
colors = RandomColor[100];
coords = DimensionReduce[colors, 2, Method -> "TSNE"];
ListPlot[Thread[Style[coords, colors, PointSize -> .05]]]

However, I would like to arrange these points into a regular 2D grid (or other lattice) while maintaining neighbourhoods as much as possible.
Is there a function to provide this transformation? Or am I better off writing something to shuffle the colors in a grid to minimise neighbor distances?
color geometric-transform dimension-reduction
$endgroup$
I have a set of points in 2D generated by doing a DimensionReduce on a list of colors:
colors = RandomColor[100];
coords = DimensionReduce[colors, 2, Method -> "TSNE"];
ListPlot[Thread[Style[coords, colors, PointSize -> .05]]]

However, I would like to arrange these points into a regular 2D grid (or other lattice) while maintaining neighbourhoods as much as possible.
Is there a function to provide this transformation? Or am I better off writing something to shuffle the colors in a grid to minimise neighbor distances?
color geometric-transform dimension-reduction
color geometric-transform dimension-reduction
asked 8 hours ago
CrêpoCrêpo
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3951 silver badge9 bronze badges
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1 Answer
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$begingroup$

It is hard to understand what you mean, but here is a simple take. Round can take an arbitrary step. That makes a grid of an arbitrary step.
colors=RandomColor[100];
coords=DimensionReduce[colors,2,Method->"TSNE"];
gridStep=.5;
ListPlot[
Thread[Style[Round[coords,gridStep],colors]],
PlotStyle->PointSize[.03],
Frame->True,
FrameTicks->Range[-10,10,gridStep],Range[-10,10,gridStep],
GridLines->Range[-10,10,gridStep],Range[-10,10,gridStep],
GridLinesStyle->Directive[Gray, Dashed]]
$endgroup$
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$begingroup$

It is hard to understand what you mean, but here is a simple take. Round can take an arbitrary step. That makes a grid of an arbitrary step.
colors=RandomColor[100];
coords=DimensionReduce[colors,2,Method->"TSNE"];
gridStep=.5;
ListPlot[
Thread[Style[Round[coords,gridStep],colors]],
PlotStyle->PointSize[.03],
Frame->True,
FrameTicks->Range[-10,10,gridStep],Range[-10,10,gridStep],
GridLines->Range[-10,10,gridStep],Range[-10,10,gridStep],
GridLinesStyle->Directive[Gray, Dashed]]
$endgroup$
add a comment
|
$begingroup$

It is hard to understand what you mean, but here is a simple take. Round can take an arbitrary step. That makes a grid of an arbitrary step.
colors=RandomColor[100];
coords=DimensionReduce[colors,2,Method->"TSNE"];
gridStep=.5;
ListPlot[
Thread[Style[Round[coords,gridStep],colors]],
PlotStyle->PointSize[.03],
Frame->True,
FrameTicks->Range[-10,10,gridStep],Range[-10,10,gridStep],
GridLines->Range[-10,10,gridStep],Range[-10,10,gridStep],
GridLinesStyle->Directive[Gray, Dashed]]
$endgroup$
add a comment
|
$begingroup$

It is hard to understand what you mean, but here is a simple take. Round can take an arbitrary step. That makes a grid of an arbitrary step.
colors=RandomColor[100];
coords=DimensionReduce[colors,2,Method->"TSNE"];
gridStep=.5;
ListPlot[
Thread[Style[Round[coords,gridStep],colors]],
PlotStyle->PointSize[.03],
Frame->True,
FrameTicks->Range[-10,10,gridStep],Range[-10,10,gridStep],
GridLines->Range[-10,10,gridStep],Range[-10,10,gridStep],
GridLinesStyle->Directive[Gray, Dashed]]
$endgroup$

It is hard to understand what you mean, but here is a simple take. Round can take an arbitrary step. That makes a grid of an arbitrary step.
colors=RandomColor[100];
coords=DimensionReduce[colors,2,Method->"TSNE"];
gridStep=.5;
ListPlot[
Thread[Style[Round[coords,gridStep],colors]],
PlotStyle->PointSize[.03],
Frame->True,
FrameTicks->Range[-10,10,gridStep],Range[-10,10,gridStep],
GridLines->Range[-10,10,gridStep],Range[-10,10,gridStep],
GridLinesStyle->Directive[Gray, Dashed]]
edited 1 hour ago
answered 2 hours ago
Vitaliy KaurovVitaliy Kaurov
58.9k6 gold badges166 silver badges286 bronze badges
58.9k6 gold badges166 silver badges286 bronze badges
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