MATLAB: How to find the values of a function at any desired point given its value at some arbitrary points?

interpolationmeshgrid

If my function u(x,y,z) values is given at say 5 points (x,y,z)…..now I want to find the value of the function at the meshgrid points [x,y,z]=meshgrid (0:.1:1,0:.1:1,0:.1:1) ,x=[1 2 3 4 5],y=[1 2 3 4 5],z=[1 2 3 4 5] u=[1 8 27 64 125]

Best Answer

Five points worth of information is not a lot for interpolation in 3-D - plot the points and all their connections and see how utterly little it is.

You can try scatteredInterpolant and hope that your points are inside the convex hull of your 5 points and that your function is "very nice".

HTH

Related Solutions

MATLAB: Unstructured grid to structured grid

scatteredInterpolant may do what you need. Like this:

x = [1 3 1 2.4].';
y = [12 10 11 15].';
f = [7 4 2 0].';
si = scatteredInterpolant(x, y, f);   % using default linear interpolation
xint = (0.5:0.5:3.5).';      % regular grid
yint = (9.5:0.5:15.5).';
fint = si({xint yint})

MATLAB: 4D colur plot

vol3d('cdata', u)

and also pass [-20,20] for the Xdata, Ydata, and Zdata parameters

vol3d is from the file exchange

Best Answer

Related Solutions

MATLAB: Unstructured grid to structured grid

MATLAB: 4D colur plot

Related Question