m_bspline_recurse Module Reference

Module for B-spline recursion and knot sequences. More...

Functions/Subroutines
pure recursive real(wp) function, public	bspline_recurse_eval (x, j, r, t)
	Recursively evaluate a B-spline at a given point.
pure real(wp) function, dimension(-degree:nr_intervals+degree), public	clamped_knotsequence (nr_intervals, degree)
	Generate a clamped knot sequence for a B-spline.
pure real(wp) function, dimension(-degree:nr_intervals+degree), public	periodic_knotsequence (nr_intervals, degree)
	Generate a periodic knot sequence for a B-spline.
pure real(wp) function, dimension(1:size(knot_sequence, 1) - degree - 1), public	greville_points (knot_sequence, degree)
	Calculate the Greville points for a given knot sequence and degree.

Detailed Description

Module for B-spline recursion and knot sequences.

This module is used for testing pruposes only and contains functions for evaluating B-splines recursively,

Function/Subroutine Documentation

bspline_recurse_eval()

pure recursive real(wp) function, public m_bspline_recurse::bspline_recurse_eval	(	real(wp), intent(in)	x,
		integer, intent(in)	j,
		integer, intent(in)	r,
		real(wp), dimension(-r:), intent(in)	t )

Recursively evaluate a B-spline at a given point.

Parameters

[in]	x	The point at which to evaluate the B-spline
[in]	j	The index of the B-spline
[in]	r	The degree of the B-spline
[in]	t	The knot sequence of the B-spline

Returns

The value of the B-spline at the point x

clamped_knotsequence()

pure real(wp) function, dimension(-degree:nr_intervals + degree), public m_bspline_recurse::clamped_knotsequence	(	integer, intent(in)	nr_intervals,
		integer, intent(in)	degree )

Generate a clamped knot sequence for a B-spline.

Parameters

[in]	nr_intervals	The number of intervals in the B-spline
[in]	degree	The degree of the B-spline

Returns

A clamped knot sequence for the B-spline

greville_points()

pure real(wp) function, dimension(1:size(knot_sequence, 1) - degree - 1), public m_bspline_recurse::greville_points	(	real(wp), dimension(1:), intent(in)	knot_sequence,
		integer, intent(in)	degree )

Calculate the Greville points for a given knot sequence and degree.

Parameters

[in]	knot_sequence	The knot sequence
[in]	degree	The degree of the B-spline

Returns

The Greville points of the B-spline

periodic_knotsequence()

pure real(wp) function, dimension(-degree:nr_intervals + degree), public m_bspline_recurse::periodic_knotsequence	(	integer, intent(in)	nr_intervals,
		integer, intent(in)	degree )

Generate a periodic knot sequence for a B-spline.

Parameters

[in]	nr_intervals	The number of intervals in the B-spline
[in]	degree	The degree of the B-spline

Returns

A periodic knot sequence for the B-spline