https://github.com/thibauts/rbf

Radial Basis Function (RBF) interpolation
https://github.com/thibauts/rbf

Last synced: 2 months ago
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Radial Basis Function (RBF) interpolation

• Host: GitHub
• URL: https://github.com/thibauts/rbf
• Owner: thibauts
• License: mit
• Created: 2015-01-18T23:11:20.000Z (almost 10 years ago)
• Default Branch: master
• Last Pushed: 2015-03-26T23:54:31.000Z (almost 10 years ago)
• Last Synced: 2024-11-01T01:53:06.188Z (2 months ago)
• Language: JavaScript
• Homepage:
• Size: 211 KB
• Stars: 32
• Watchers: 8
• Forks: 8
• Open Issues: 1
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
rbf

===

### Radial Basis Function (RBF) interpolation

Builds Radial Basis Functions for input and output values of arbitrary dimensionality using standard or custom distance functions.

Installation

------------

```bash

$ npm install rbf

```

Usage

-----

```javascript

var RBF = require('rbf');

var points = [

  [0, 0],

  [0, 100]

];

// values could be vectors of any dimensionality.

// The computed interpolant function will return values or vectors accordingly.

var values = [

  0.0,

  1.0

]

// RBF accepts a distance function as a third parameter :

// either one of the following strings or a custom distance function (defaults to 'linear').

//

// - linear: r

// - cubic: r**3

// - quintic: r**5

// - thin-plate: r**2 * log(r)

// - gaussian: exp(-(r/epsilon) ** 2)

// - multiquadric: sqrt((r/epsilon) ** 2 + 1)

// - inverse-multiquadric: 1 / sqrt((r/epsilon) ** 2 + 1)

//

// epsilon can be provided as a 4th parameter. Defaults to the average 

// euclidean distance between points.

//

var rbf = RBF(points, values /*, distanceFunction, epsilon */);

console.log(rbf([0, 50])); // => 0.5

```

Examples

--------

Partial derivative of a gaussian, original and interpolated with 25 random samples (linear distance function).





Lena, original and interpolated with 4000 random samples (about 6% of the original pixels, linear distance function).