https://github.com/grasbock/makima_spline

A implementation of the modified akima interpolation in rust
https://github.com/grasbock/makima_spline

interpolation interpolation-methods mathematics rust rust-lang rust-library spline

Last synced: 21 days ago
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A implementation of the modified akima interpolation in rust

• Host: GitHub
• URL: https://github.com/grasbock/makima_spline
• Owner: GRASBOCK
• Created: 2020-10-17T19:42:41.000Z (about 4 years ago)
• Default Branch: master
• Last Pushed: 2020-10-28T00:17:09.000Z (about 4 years ago)
• Last Synced: 2024-04-25T07:43:05.637Z (6 months ago)
• Topics: interpolation, interpolation-methods, mathematics, rust, rust-lang, rust-library, spline
• Language: Rust
• Homepage:
• Size: 124 KB
• Stars: 12
• Watchers: 3
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# makima_spline

A implementation of the modified akima interpolation


**+** linear extrapolation


**+** 1., 2., and 3. order derivatives


**+** bicubic interpolation as a feature



## HowTo

```rust

use makima_spline::Spline;

```

your data is in some format

```rust

let x = vec![1., 2., 3., 4., 5., 6., 7., 8.];

let y = vec![-1., -1., -1., 0.0, 1., 1., 1., 1.];

``` 

convert to the type used by the spline `Vec<(f64, f64)>`

```rust

let points = makima_spline::vec_to_points(&x, &y);

```    

build the spline from the data-points

```rust

let spline = Spline::from_vec(points);

```

To sample do this:

```rust

let y = spline.sample(x);

```



# 2d interpolation

Based on the [bicubic](https://crates.io/crates/bicubic) crate it is possible to interpolate in two dimensions. 

Create points

``` rust

let x = vec![-1.0, 0.0, 2.0];

let y = vec![-0.0, 1.0];

let f = vec![5.0, 4.0, 5.0, 1.0, 1.0, 1.0];

``` 

construct `Bicubic` Struct

``` 

let bci = makima_spline::n_dimensional::bicubic_from_grid(&x, &y, &f);

```

The submodule is called `n_dimensional` in case higher dimensions will be supported in the future, but currently there is only 2d interpolation