Enum RBFInterpolatorBuilder 

pub enum RBFInterpolatorBuilder<T, const DEGREE: usize, const MONOMIALS: usize, const POINTS: usize, const DIM: usize> {
    Linear,
    ThinPlateSpline,
    Cubic,
    Quintic,
    Multiquadratic {
        epsilon: T,
    },
    InverseMultiquadratic {
        epsilon: T,
    },
    InverseQuadratic {
        epsilon: T,
    },
    Gaussian {
        epsilon: T,
    },
}

You must provide the number of monomials terms for your choice of polynomial degree and points dimension.

i.e. A degree 1 polynomial in two variables will incur the following monomials: 1, x, y Degree 2 will incur: 1, x, y, xy, x^2, y^2

In general, monomials = (degree + dimension) choose (degree)

Variants

Linear

r

ThinPlateSpline

r^2 * log(r)

Cubic

r^3

Quintic

r^5

Multiquadratic

-sqrt(1 + r^2)

Fields

epsilon: T

InverseMultiquadratic

1/sqrt(1 + r^2)

Fields

epsilon: T

InverseQuadratic

1/(1 + r^2)

Fields

epsilon: T

Gaussian

exp(-r^2)

Fields

epsilon: T

Implementations

impl<T, const DEGREE: usize, const MONOMIALS: usize, const POINTS: usize, const DIM: usize> RBFInterpolatorBuilder<T, DEGREE, MONOMIALS, POINTS, DIM>

where T: Scalar + RealField + Copy + Product,

pub fn build<SP, SV>( self, points: Matrix<T, Const<DIM>, Const<POINTS>, SP>, values: Vector<T, Const<POINTS>, SV>, ) -> Option<RBFInterpolator<T, DEGREE, MONOMIALS, POINTS, DIM, SP, ArrayStorage<T, { _ }, 1>>>

where SP: Storage<T, Const<DIM>, Const<POINTS>>, SV: StorageMut<T, Const<POINTS>, U1>, Const<{ _ }>: DimMin<Const<{ _ }>, Output = Const<{ _ }>>,

Number of points with dimension provided as a matrix of collum vectors, with their values in a seperate vector.

Returns None when the linear system was not solveable. Will panic when the choice of added polynomial DEGREE and number of corresponding MONOMIAL terms are incompatible. Should satisfy: MONOMIAL = (DIM+DEGREE) choose DEGREE.