Spline with input (Xs,Ys, tilts) and output (Zs), give one Z

I have 10 points with different fix X and Y coordinates Constraints: 1) One of these points has fix X , Y, Z coordinates 2) All of the points have different fix tilt

I need to create a surface on with this 10 points with these two constrains Question: Does Matlab have a spline function that could create this surface (i.e. input (Xs,Ys, tilts) and output (Zs), give one Z)

[Walter Roberson]

By "tilts" do you mean that you have the surface normals at those (X(K),Y(K),Z(K)) points ?

[Gonzalo]

I have the inclination and direction of a nominal surface at a fix X and Y

[Gonzalo]

tilt = tangent vectors at each X and Y (point)

Answer 1

[Gonzalo]

Yes

Answer 2

[Gonzalo]

I have the inclinations and direction of a surface at Xs and Ys.

Answer 3

[Walter Roberson]

I believe the answer is fairly likely "NO", that Matlab does not have a spline function that could create the surface.

For clever and robust ways of building such a function, I would recommend asking John D'Errico for suggestions.