4D interpolation plot with matlab of scattered data

Dear Matlab community,

I have a set of data with a value at some x,y,z coordinates. However, the coordinates are not evenly spaced. I would like to interpolate the data and have a 3D interpolated plot where the color is the interpolated value at each x,y,z coordinates (not the value of z).

Also I should mention that my data are confined in space and I only want to interpolate between points that are close. I have multiple sheet-like structures and I do not want interpolation between the sheets. I would therefore need a distance between points criteria I guess.

My problem can be seen with this MATLAB test program

x = rand(100,1)*16 - 8;
y = rand(100,1)*16 - 8;
z = rand(100,1)*16 - 8;
d = rand(100,1)*16 - 8;

The scatter plot of that works very well

scatter3(x,y,z,5,d);
colormap(jet);
colorbar;

I would like to have an nice surface with color of that. Of course the interpolation of the above will be very bad since it is random points and color(value) but for my case it has more meaning.

I shall emphasize the localized nature of my problem (see picture below using scatter3).

Using a double scatteredInterpolant (to interpolate on z and d) on the same data as the figure above gives me the following picture

which is not satisfactory.

Thank you,

Samuel

Answer 1

[Christian Nørgård]

Dear Samuel, I am struggling with a very similar problem. Did you manage to come up with a solution? If so, i am very interested in having a look on it.

Best regards Christian