cardinal_cubic_b_spline: Cardinal Cubic B-Spline Interpolator

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

Cardinal Cubic B-Spline Interpolator

Description

Constructs a cardinal cubic B-spline interpolator given data points.

Usage

cardinal_cubic_b_spline(
  y,
  t0,
  h,
  left_endpoint_derivative = NULL,
  right_endpoint_derivative = 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_derivative	Optional numeric scalar for the derivative at the left endpoint.
right_endpoint_derivative	Optional numeric scalar for the derivative at the right endpoint.

Value

An object of class cardinal_cubic_b_spline with methods:

• interpolate(x): Evaluate the spline at point x.

• prime(x): Evaluate the first derivative of the spline at point x.

• double_prime(x): Evaluate the second derivative of the spline at point x.

Examples

y <- c(1, 2, 0, 2, 1)
t0 <- 0
h <- 1
spline_obj <- cardinal_cubic_b_spline(y, t0, h)
x <- 0.5
spline_obj$interpolate(x)
spline_obj$prime(x)
spline_obj$double_prime(x)

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