https://github.com/grasbock/bicubic

A base for bicubic interpolation
https://github.com/grasbock/bicubic

Last synced: about 2 months ago
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A base for bicubic interpolation

• Host: GitHub
• URL: https://github.com/grasbock/bicubic
• Owner: GRASBOCK
• Created: 2020-10-27T22:24:20.000Z (about 4 years ago)
• Default Branch: master
• Last Pushed: 2020-10-27T23:47:35.000Z (about 4 years ago)
• Last Synced: 2024-10-31T11:44:46.486Z (about 2 months ago)
• Language: Rust
• Size: 316 KB
• Stars: 4
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# bicubic

A base for bicubic interpolation

This projects provides the basis for bicubic interpolation. It is meant to allow any kind of interpolation. 


If you need something ready to use check out the [makima_spline::n_dimensional](https://crates.io/crates/makima_spline)



## HowTo

```rust

use bicubic;

```

create data

```rust

// x coordinates

let x = vec![-2.5, 0.0, 1.5];

// y coordinates

let y = vec![-4.5, 3.2];

// the value at (x,y) or z if that's how you see it

let f = vec![12.4, 1.45, 1.33, 13.4, 13.2, 6.];

// for simplicity, the next values are zero (the values depend on the type of interpolation used)

// first derivative along x direction for each point

let fx = vec![0.0; f.len()];

// first derivative along y direction for each point

let fy = vec![0.0; f.len()];

// cross derivative (untested)

let fxy = vec![0.0; f.len()];

```

The following image shows the layout of the data. 

fx, fy, & fxy is placed the same way as f



*Note: x & y needs to be sorted in ascending order. Make sure your f values will swap indices when sorting as well*

build the bicubic struct from the data

```rust

let bci = bicubic::from_vec(&x, &y, &f, &fx, &fy, &fxy);

``` 

To sample do this:

```rust

let z = bci.sample(x, y);

```