Crate scirs2_interpolate

Interpolation module

This module provides implementations of various interpolation methods. These methods are used to estimate values at arbitrary points based on a set of known data points.

Overview

• 1D interpolation methods (interp1d module)
  • Linear, nearest, cubic interpolation
  • PCHIP (Piecewise Cubic Hermite Interpolating Polynomial) - shape-preserving interpolation
• Spline interpolation (spline module)
• Bivariate splines (bivariate module):
  • BivariateSpline - Base class for bivariate splines
  • SmoothBivariateSpline - Smooth bivariate spline approximation
  • RectBivariateSpline - Bivariate spline approximation over a rectangular mesh
• Multivariate interpolation (interpnd module)
• Advanced interpolation methods (advanced module):
  • Akima spline interpolation - robust to outliers
  • Radial Basis Function (RBF) interpolation - for scattered data
  • Kriging (Gaussian process regression) - with uncertainty quantification
  • Barycentric interpolation - stable polynomial interpolation
• Grid transformation and resampling (grid module):
  • Resample scattered data onto regular grids
  • Convert between grids of different resolutions
  • Map grid data to arbitrary points
• Tensor product interpolation (tensor module):
  • Efficient high-dimensional interpolation on structured grids
  • Higher-order interpolation using Lagrange polynomials
• Utility functions (utils module):
  • Error estimation with cross-validation
  • Parameter optimization
  • Differentiation and integration of interpolated functions

Re-exports

pub use error::InterpolateError;

pub use error::InterpolateResult;

pub use advanced::akima::make_akima_spline;

pub use advanced::akima::AkimaSpline;

pub use advanced::barycentric::make_barycentric_interpolator;

pub use advanced::barycentric::BarycentricInterpolator;

pub use advanced::barycentric::BarycentricTriangulation;

pub use advanced::kriging::make_kriging_interpolator;

pub use advanced::kriging::CovarianceFunction;

pub use advanced::kriging::KrigingInterpolator;

pub use advanced::rbf::RBFInterpolator;

pub use advanced::rbf::RBFKernel;

pub use bivariate::BivariateInterpolator;

pub use bivariate::BivariateSpline;

pub use bivariate::RectBivariateSpline;

pub use bivariate::SmoothBivariateSpline;

pub use bivariate::SmoothBivariateSplineBuilder;

pub use grid::create_regular_grid;

pub use grid::map_grid_to_points;

pub use grid::resample_grid_to_grid;

pub use grid::resample_to_grid;

pub use grid::GridTransformMethod;

pub use interp1d::cubic_interpolate;

pub use interp1d::linear_interpolate;

pub use interp1d::nearest_interpolate;

pub use interp1d::pchip_interpolate;

pub use interp1d::Interp1d;

pub use interp1d::InterpolationMethod;

pub use interp1d::PchipInterpolator;

pub use interpnd::make_interp_nd;

pub use interpnd::make_interp_scattered;

pub use interpnd::map_coordinates;

pub use interpnd::ExtrapolateMode;

pub use interpnd::GridType;

pub use interpnd::RegularGridInterpolator;

pub use interpnd::ScatteredInterpolator;

pub use spline::make_interp_spline;

pub use spline::CubicSpline;

pub use tensor::lagrange_tensor_interpolate;

pub use tensor::tensor_product_interpolate;

pub use tensor::LagrangeTensorInterpolator;

pub use tensor::TensorProductInterpolator;

Modules

advanced

Advanced interpolation methods

bivariate

Bivariate interpolation modules

error

Error types for the SciRS2 interpolation module

grid

Grid transformation and resampling utilities

interp1d

One-dimensional interpolation methods

interpnd

N-dimensional interpolation methods

spline

Spline interpolation methods

tensor

Tensor product interpolation

utils

Utility functions for interpolation