https://github.com/axect/bspline
Implement B-Spline from scratch in rust
https://github.com/axect/bspline
Last synced: 3 months ago
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Implement B-Spline from scratch in rust
- Host: GitHub
- URL: https://github.com/axect/bspline
- Owner: Axect
- License: mit
- Created: 2024-06-19T07:00:37.000Z (12 months ago)
- Default Branch: master
- Last Pushed: 2024-07-07T02:18:48.000Z (12 months ago)
- Last Synced: 2025-03-19T22:17:24.180Z (3 months ago)
- Language: Rust
- Size: 312 KB
- Stars: 1
- Watchers: 1
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
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README
# 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:
1. Add the necessary dependencies
```sh
cargo add peroxide --features plot
```
2. Import the required modules in your Rust code:
```rust
use peroxide::fuga::*;
use anyhow::Result;
```
3. Create an instance of the `BSpline` struct with the desired parameters:
```rust
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);
```
4. Generate the basis functions and plot them:
```rust
let bases = spline.generate_bases();
spline.bases_plot(bases)?;
```
5. Interpolate points along the B-Spline curve and plot the curve:
```rust
spline.plot()?;
```
## Plots
The code generates two plots:
1. `plot.png`: A plot of the basis functions generated using the Cox-de Boor recursion formula.
2. `interpolate_plot.png`: A plot of the interpolated B-Spline curve using the provided control points.
## License
This code is released under the [MIT License](LICENSE).