Function fit_surface_scattered 

pub fn fit_surface_scattered(
    points: &[Point],
    degree: usize,
    controls: (usize, usize),
    smoothing: f64,
    tol: Tolerances,
) -> OgeomResult<Fitted<BSplineSurface>>

Fit a surface to scattered points: no grid required.

The points are parameterized by projection onto the cloud’s own principal plane (the two dominant directions of its covariance), and fitted by tensor-product least squares with a bending penalty at smoothing, which is what keeps the system solvable where the scatter leaves basis functions unsupported. The reported error is the honest maximum distance from any input to the surface at its assigned parameters.

The cloud must be a height field over its principal plane: points that fold over (a closed shell, a cliff) project onto each other, and the fit answers with a large reported error rather than a lie.

Errors

OgeomError::Construction if there are too few points for the control budget, the budget cannot carry the degree, or the weight is not finite and non-negative.