cardinal_quintic_b_spline: Cardinal Quintic B-Spline Interpolator

In boostmath: 'R' Bindings for the 'Boost' Math Functions

Cardinal Quintic B-Spline Interpolator

Description

Constructs a cardinal quintic B-spline interpolator given control points.

Usage

cardinal_quintic_b_spline(
  y,
  t0,
  h,
  left_endpoint_derivatives = NULL,
  right_endpoint_derivatives = NULL
)

Arguments

y	Numeric vector of data points to interpolate.
t0	Numeric scalar representing the starting point of the data.
h	Numeric scalar representing the spacing between data points.
left_endpoint_derivatives	Optional two-element numeric vector for the derivative at the left endpoint.
right_endpoint_derivatives	Optional two-element numeric vector for the derivative at the right endpoint.

Value

An object of class cardinal_quintic_b_spline with methods:

• interpolate(xi): Evaluate the interpolator at point xi.

• prime(xi): Evaluate the derivative of the interpolator at point xi.

• double_prime(xi): Evaluate the second derivative of the interpolator at point xi.

Examples

y <- seq(0, 1, length.out = 20)
t0 <- 0
h <- 1
interpolator <- cardinal_quintic_b_spline(y, t0, h)
xi <- 0.5
interpolator$interpolate(xi)
interpolator$prime(xi)
interpolator$double_prime(xi)

boostmath documentation built on Dec. 15, 2025, 5:07 p.m.