ArcGis 10 interpolate Z between polyline's vertices (IZ.InterpolateZsBetween ?)

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Here's what's happening:

I want to create a 3D line using only the height of some GSP points. I need to be able to extrapolate the vertice's height between where it's known to the one where it's unkonwn.

What I have tried:

  • Creating a TIN from GPS points: where the line meanders and there is no GPS points, the height is not correct.
  • Linear Referencing tools: but as originally the Polyline Z has no value interpolated between each vertex, it doesn't seem to do what is needed
  • Conversion of Point to raster at a 1 m cell (Nodata outside the cell where the GPS points lay) and extraction of the Z value to the vertex where they overlap the cell with value, leaving the not-overlapping vertices without Z value.
Is this what I need?:

I think I should use something like "IZ.InterpolateZsBetween" but I am useless at coding.Could someone please explain me how to implement this fonction?

Many thanks



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