BSplines.jl

This package provides data types and functions for working with B-splines as a means to approximate real functions.

Installation

This package is compatible with Julia ≥ 1.0. It can be installed by typing

] add BSplines

in the Julia REPL.

Acknowledgments

The algorithms used for evaluating B-splines and their derivatives are adapted from the Fortran code found in Carl de Boor’s book A practical Guide to Splines ^[deBoor1978], in particular from the subroutines BSPLVB, BSPLVD and BVALUE. This package is published with his permission.

Manual outline

• The BSplineBasis type and related functions
• Properties of B-spline bases – order, breakpoints, and knots
• Evaluating B-Splines and their derivatives
• Constructing knot vectors
• The Spline type and related functions
• Evaluating Splines and their derivatives
• Arithmetic with Splines
• The BSpline type
• Higher-level functions
• Plotting
• Plotting a BSplineBasis
• Plotting Splines and their derivatives