Matlab interpolation of 4D scattered data
We have a 195x4 (double) matrix: A=[X Y Z temp], when ploted with scatter3(A(:,1), A(:,2), A(:,3),30, A(:,4), 'filled' ) gives something like this:
Now we want to generate a 'cube' colored with the interpolation of the temp=A(:,4) vector data.
So far we have tried interp3
% Base Grid
[Xm Ym Zm] = meshgrid(A(:,1), A(:,2), A(:,3));
% Grid Refinement
[Xq,Yq,Zq] = meshgrid(xmin:dx:xmax, ymin:dy:ymax, zmin:dz:zmax);
Aq = interp3(Xm,Ym,Zm,A(:,4),Xq,Yq,Zq);
Returns the following error:
Error using griddedInterpolant
The number of input coordinate arrays does not equal the number of dimensions
(NDIMS) of these arrays.
Error in interp3 (line 144)
F = griddedInterpolant(X, Y, Z, V, method,extrap);
Error in PDGEM_MT (line 112)
Aq = interp3(Xm,Ym,Zm,A(:,4),Xq,Yq,Zq);
So I think, may be a bad implementation and/or a wrong interpretation of the problem.
How to generate a 'cube'of that space colored with the volume interpolation of A(:,4)?
Thanks in advance.
matlab 3d grid interpolation 4d
asked Nov 21 at 2:10
cavereaper
225
add a comment |
We have a 195x4 (double) matrix: A=[X Y Z temp], when ploted with scatter3(A(:,1), A(:,2), A(:,3),30, A(:,4), 'filled' ) gives something like this:
Now we want to generate a 'cube' colored with the interpolation of the temp=A(:,4) vector data.
So far we have tried interp3
% Base Grid
[Xm Ym Zm] = meshgrid(A(:,1), A(:,2), A(:,3));
% Grid Refinement
[Xq,Yq,Zq] = meshgrid(xmin:dx:xmax, ymin:dy:ymax, zmin:dz:zmax);
Aq = interp3(Xm,Ym,Zm,A(:,4),Xq,Yq,Zq);
Returns the following error:
Error using griddedInterpolant
The number of input coordinate arrays does not equal the number of dimensions
(NDIMS) of these arrays.
Error in interp3 (line 144)
F = griddedInterpolant(X, Y, Z, V, method,extrap);
Error in PDGEM_MT (line 112)
Aq = interp3(Xm,Ym,Zm,A(:,4),Xq,Yq,Zq);
So I think, may be a bad implementation and/or a wrong interpretation of the problem.
How to generate a 'cube'of that space colored with the volume interpolation of A(:,4)?
Thanks in advance.
matlab 3d grid interpolation 4d
asked Nov 21 at 2:10
cavereaper
225
add a comment |
We have a 195x4 (double) matrix: A=[X Y Z temp], when ploted with scatter3(A(:,1), A(:,2), A(:,3),30, A(:,4), 'filled' ) gives something like this:
Now we want to generate a 'cube' colored with the interpolation of the temp=A(:,4) vector data.
So far we have tried interp3
% Base Grid
[Xm Ym Zm] = meshgrid(A(:,1), A(:,2), A(:,3));
% Grid Refinement
[Xq,Yq,Zq] = meshgrid(xmin:dx:xmax, ymin:dy:ymax, zmin:dz:zmax);
Aq = interp3(Xm,Ym,Zm,A(:,4),Xq,Yq,Zq);
Returns the following error:
Error using griddedInterpolant
The number of input coordinate arrays does not equal the number of dimensions
(NDIMS) of these arrays.
Error in interp3 (line 144)
F = griddedInterpolant(X, Y, Z, V, method,extrap);
Error in PDGEM_MT (line 112)
Aq = interp3(Xm,Ym,Zm,A(:,4),Xq,Yq,Zq);
So I think, may be a bad implementation and/or a wrong interpretation of the problem.
How to generate a 'cube'of that space colored with the volume interpolation of A(:,4)?
Thanks in advance.
matlab 3d grid interpolation 4d
asked Nov 21 at 2:10
cavereaper
225
We have a 195x4 (double) matrix: A=[X Y Z temp], when ploted with scatter3(A(:,1), A(:,2), A(:,3),30, A(:,4), 'filled' ) gives something like this:
Now we want to generate a 'cube' colored with the interpolation of the temp=A(:,4) vector data.
So far we have tried interp3
% Base Grid
[Xm Ym Zm] = meshgrid(A(:,1), A(:,2), A(:,3));
% Grid Refinement
[Xq,Yq,Zq] = meshgrid(xmin:dx:xmax, ymin:dy:ymax, zmin:dz:zmax);
Aq = interp3(Xm,Ym,Zm,A(:,4),Xq,Yq,Zq);
Returns the following error:
Error using griddedInterpolant
The number of input coordinate arrays does not equal the number of dimensions
(NDIMS) of these arrays.
Error in interp3 (line 144)
F = griddedInterpolant(X, Y, Z, V, method,extrap);
Error in PDGEM_MT (line 112)
Aq = interp3(Xm,Ym,Zm,A(:,4),Xq,Yq,Zq);
So I think, may be a bad implementation and/or a wrong interpretation of the problem.
How to generate a 'cube'of that space colored with the volume interpolation of A(:,4)?
Thanks in advance.
matlab 3d grid interpolation 4d
matlab 3d grid interpolation 4d
asked Nov 21 at 2:10
cavereaper
225
asked Nov 21 at 2:10
cavereaper
225
edited Nov 21 at 3:33
asked Nov 21 at 2:10
cavereaper
225
asked Nov 21 at 2:10
cavereaper
225
asked Nov 21 at 2:10
cavereaper
225
225
add a comment |
add a comment |
1 Answer
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You have an scattered dataset.
interp3 does only work if your data points are in meshgrid format read this. The short description of this function is Interpolation for 3-D gridded data in meshgrid format
Instead you can use griddata which works for scattered data read this. The short description is Interpolate 2-D or 3-D scattered data.
Example:
X = rand(100,1);
Y = rand(100,1);
Z = rand(100,1);
C = rand(100,1);
figure
scatter3(X, Y, Z,30, C, 'filled' )
[Xm, Ym, Zm] = meshgrid(min(X):.01:max(X), min(Y):.01:max(Y), min(Z):.01:max(Z));
Cm = griddata(X,Y,Z,C,Xm,Ym,Zm);
figure
scatter3(Xm(:), Ym(:), Zm(:), 30, Cm(:), 'filled' )
Data points:
Interpolated:
answered Nov 21 at 8:43
user7431005
980215
worked like a charm. Vielen Dank, Sie sind sehr nett.
– cavereaper
Nov 21 at 18:13
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
You have an scattered dataset.
interp3 does only work if your data points are in meshgrid format read this. The short description of this function is Interpolation for 3-D gridded data in meshgrid format
Instead you can use griddata which works for scattered data read this. The short description is Interpolate 2-D or 3-D scattered data.
Example:
X = rand(100,1);
Y = rand(100,1);
Z = rand(100,1);
C = rand(100,1);
figure
scatter3(X, Y, Z,30, C, 'filled' )
[Xm, Ym, Zm] = meshgrid(min(X):.01:max(X), min(Y):.01:max(Y), min(Z):.01:max(Z));
Cm = griddata(X,Y,Z,C,Xm,Ym,Zm);
figure
scatter3(Xm(:), Ym(:), Zm(:), 30, Cm(:), 'filled' )
Data points:
Interpolated:
answered Nov 21 at 8:43
user7431005
980215
worked like a charm. Vielen Dank, Sie sind sehr nett.
– cavereaper
Nov 21 at 18:13
add a comment |
You have an scattered dataset.
interp3 does only work if your data points are in meshgrid format read this. The short description of this function is Interpolation for 3-D gridded data in meshgrid format
Instead you can use griddata which works for scattered data read this. The short description is Interpolate 2-D or 3-D scattered data.
Example:
X = rand(100,1);
Y = rand(100,1);
Z = rand(100,1);
C = rand(100,1);
figure
scatter3(X, Y, Z,30, C, 'filled' )
[Xm, Ym, Zm] = meshgrid(min(X):.01:max(X), min(Y):.01:max(Y), min(Z):.01:max(Z));
Cm = griddata(X,Y,Z,C,Xm,Ym,Zm);
figure
scatter3(Xm(:), Ym(:), Zm(:), 30, Cm(:), 'filled' )
Data points:
Interpolated:
answered Nov 21 at 8:43
user7431005
980215
worked like a charm. Vielen Dank, Sie sind sehr nett.
– cavereaper
Nov 21 at 18:13
add a comment |
You have an scattered dataset.
interp3 does only work if your data points are in meshgrid format read this. The short description of this function is Interpolation for 3-D gridded data in meshgrid format
Instead you can use griddata which works for scattered data read this. The short description is Interpolate 2-D or 3-D scattered data.
Example:
X = rand(100,1);
Y = rand(100,1);
Z = rand(100,1);
C = rand(100,1);
figure
scatter3(X, Y, Z,30, C, 'filled' )
[Xm, Ym, Zm] = meshgrid(min(X):.01:max(X), min(Y):.01:max(Y), min(Z):.01:max(Z));
Cm = griddata(X,Y,Z,C,Xm,Ym,Zm);
figure
scatter3(Xm(:), Ym(:), Zm(:), 30, Cm(:), 'filled' )
Data points:
Interpolated:
answered Nov 21 at 8:43
user7431005
980215
You have an scattered dataset.
interp3 does only work if your data points are in meshgrid format read this. The short description of this function is Interpolation for 3-D gridded data in meshgrid format
Instead you can use griddata which works for scattered data read this. The short description is Interpolate 2-D or 3-D scattered data.
Example:
X = rand(100,1);
Y = rand(100,1);
Z = rand(100,1);
C = rand(100,1);
figure
scatter3(X, Y, Z,30, C, 'filled' )
[Xm, Ym, Zm] = meshgrid(min(X):.01:max(X), min(Y):.01:max(Y), min(Z):.01:max(Z));
Cm = griddata(X,Y,Z,C,Xm,Ym,Zm);
figure
scatter3(Xm(:), Ym(:), Zm(:), 30, Cm(:), 'filled' )
Data points:
Interpolated:
answered Nov 21 at 8:43
user7431005
980215
answered Nov 21 at 8:43
user7431005
980215
answered Nov 21 at 8:43
user7431005
980215
answered Nov 21 at 8:43
user7431005
980215
980215
worked like a charm. Vielen Dank, Sie sind sehr nett.
– cavereaper
Nov 21 at 18:13
add a comment |
worked like a charm. Vielen Dank, Sie sind sehr nett.
– cavereaper
Nov 21 at 18:13
worked like a charm. Vielen Dank, Sie sind sehr nett.
– cavereaper
Nov 21 at 18:13
worked like a charm. Vielen Dank, Sie sind sehr nett.
– cavereaper
Nov 21 at 18:13
add a comment |
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