B-Spline Interpolation in Rust

This repository contains a Rust implementation of B-Spline interpolation. The code demonstrates how to create a B-Spline curve using a set of control points and generate basis functions using the Cox-de Boor recursion formula.

Features

Create a B-Spline curve with a specified degree, knot vector, and control points
Generate basis functions using the Cox-de Boor recursion formula
Interpolate points along the B-Spline curve
Plot the basis functions and the interpolated B-Spline curve

Dependencies

peroxide: For plotting functionality & numerical utils

Usage

To use the B-Spline interpolation code in your Rust project, follow these steps:

Add the necessary dependencies

cargo add peroxide --features plot

Import the required modules in your Rust code:

use peroxide::fuga::*;
use anyhow::Result;

Create an instance of the BSpline struct with the desired parameters:

let knots = vec![0f64, 0f64, 0f64, 0f64, 1f64, 2f64, 3f64, 3f64, 3f64, 3f64];
let degree = 3;
let num_points = 100;
let control_points = vec![
    vec![0f64, 2f64],
    vec![0.2, -1f64],
    vec![0.4, 1f64],
    vec![0.6, -1f64],
    vec![0.8, 1f64],
    vec![1f64, 2f64],
];

let spline = BSpline::new(degree, knots, num_points, control_points);

Generate the basis functions and plot them:

let bases = spline.generate_bases();
spline.bases_plot(bases)?;

Interpolate points along the B-Spline curve and plot the curve:

spline.plot()?;

Plots

The code generates two plots:

plot.png: A plot of the basis functions generated using the Cox-de Boor recursion formula.

interpolate_plot.png: A plot of the interpolated B-Spline curve using the provided control points.

License