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See the recommended documentation of this function

Aide de Scilab >> Interpolation > interp3d

# interp3d

3d spline evaluation function

### Calling Sequence

`[fp[,dfpdx,dfpdy,dfpdz]]=interp3d(xp,yp,zp,tl,out_mode)`

### Arguments

xp, yp, zp

real vectors or matrices of same size

tl

tlist of type "splin3d", defining a 3d tensor spline (called `s` in the following)

out_mode

(optional) string defining the evaluation of `s` outside the grid ([xmin,xmax]x[ymin,ymax]x[zmin,zmax])

fp

vector or matrix of same format than `xp`, `yp` and `zp`, elementwise evaluation of `s` on these points.

dfpdx, dfpdy, dfpdz

vectors (or matrices) of same format than `xp`, `yp` and `zp`, elementwise evaluation of the first derivatives of `s` on these points.

### Description

Given a tlist `tl` defining a 3d spline function (see splin3d) this function evaluates s (and ds/dx, ds/dy, ds/dz if needed) at (xp(i),yp(i),zp(i)) :

The `out_mode` parameter defines the evaluation rule for extrapolation, i.e. for (xp(i),yp(i),zp(i)) not in [xmin,xmax]x[ymin,ymax]x[zmin,zmax] :

"by_zero"

an extrapolation by zero is done

"by_nan"

extrapolation by Nan

"C0"

the extrapolation is defined as follows :

```s(x,y) = s(proj(x,y)) where proj(x,y) is nearest point
of [x(1),x(nx)]x[y(1),y(ny)] from (x,y)```
"periodic"

`s` is extended by periodicity.

### Examples

`// see the examples of the splin3d help page`

• splin3d — spline gridded 3d interpolation
• bsplin3val — 3d spline arbitrary derivative evaluation function

### History

 Version Description 5.4.0 previously, imaginary part of input arguments were implicitly ignored.
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