How to find the values of a function at any desired point given its value at some arbitrary points??
1 visualizzazione (ultimi 30 giorni)
Mostra commenti meno recenti
Apashanka Das
il 24 Giu 2019
Commentato: Apashanka Das
il 24 Giu 2019
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]
0 Commenti
Risposta accettata
Bjorn Gustavsson
il 24 Giu 2019
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
3 Commenti
Bjorn Gustavsson
il 24 Giu 2019
That's much better! For a 3-D grid 3000 points would be approximately 14.5^3 points - i.e. you could have a regular grid with 14.5 points per dimension. If your function is not too meanspirited over your domain you might get a rather good interpolation. The curse of dimensionality are "lurking at the horizon" - if you had an additional dimension or two the number of points-per dimension in a regular grid would go down to 7.4 then ~5.
It would still be scatteredInterpolant.
HTH
Più risposte (0)
Vedere anche
Categorie
Scopri di più su Interpolation in Help Center e File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!