ScatteredInterpolator.hpp File Reference

RBF-based interpolation for unstructured scattered data. More...

#include "metis/core/MetisConcepts.hpp"
#include "metis/core/MetisError.hpp"
#include "metis/core/MetisTypes.hpp"
#include "metis/math/Interpolate.hpp"
#include "metis/math/Linalg.hpp"
#include <cmath>
#include <vector>

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Classes
class	metis::ScatteredInterpolator

Namespaces
namespace	metis
namespace	metis::detail
	Smooth approximation of ReLU function: softplus(x) = (1/beta) * log(1 + exp(beta * x)).

Enumerations
enum class	metis::RBFKernel {   metis::ThinPlateSpline , metis::Multiquadric , metis::Gaussian , metis::Linear ,   metis::Cubic }
	Radial basis function kernel types for scattered interpolation. More...

Functions
double	metis::detail::rbf_phi (double r, RBFKernel kernel, double epsilon=1.0)
	Evaluate RBF kernel φ(r) for a given distance.
double	metis::detail::euclidean_distance (const double *p1, const double *p2, int dims)
	Compute Euclidean distance between two points.

Variables
constexpr double	metis::detail::rbf_regularization = 1e-10
	Regularization term for RBF interpolation matrix to prevent singularity.
constexpr double	metis::detail::rbf_zero_threshold = 1e-15
	Threshold below which thin-plate spline uses linear fallback to avoid log(0).

Detailed Description

RBF-based interpolation for unstructured scattered data.

See also

Interpolate.hpp