imat: Integration matrix of B-spline

In bspline: B-Spline Interpolation and Regression

Integration matrix of B-spline

Description

Calculate matrix for obtaining coefficients of indefinite integral of B-spline. They can be calculated as iqw=Mi %*% qw. Here, iqw are coefficients of the indefinite integral of B-spline, Mi is the matrix returned by this function, and qw are the coefficients of integrated B-spline.
As per the nature of the indefinite integral, this coefficients are defined up to arbitrary additive constant.

Usage

imat(nqw = NULL, xk = NULL, n = NULL, f = NULL)

Arguments

nqw	Integer scalar, row number of qw matrix (i.e. degree of freedom of a B-spline)
xk	Numeric vector, knot positions
n	Integer scalar, B-spline polynomial order
f	Function from which previous parameters can be retrieved. If both f and any of previous parameters are given then explicitly set parameters take precedence over those retrieved from f.

Value

Numeric matrix of size nqw+1 x nqw

bspline documentation built on April 4, 2025, 4:54 a.m.