Cardinal Quadratic B-Spline Interpolator — cardinal_quadratic_b_spline • boostmath

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

Usage

cardinal_quadratic_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_quadratic_b_spline with methods:

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

Examples

y <- c(0, 1, 0, 1)
t0 <- 0
h <- 1
interpolator <- cardinal_quadratic_b_spline(y, t0, h)
xi <- 0.5
interpolator$interpolate(xi)
#> [1] 0.7857143
interpolator$prime(xi)
#> [1] 1.142857