concaveman
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Fast 2D concave hull algorithm in JavaScript (generates an outline of a point set)
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## concaveman
A very fast **2D concave hull** algorithm in JavaScript (generates a general outline of a point set).
[](https://travis-ci.org/mapbox/concaveman)
[](https://coveralls.io/github/mapbox/concaveman?branch=master)
[](https://github.com/mourner/projects)
<img width="570" alt="sample concave hull" src="https://cloud.githubusercontent.com/assets/25395/12975726/ada2ad10-d0c6-11e5-96c8-6e42c995e0e2.png">
### Usage
```js
import concaveman from 'concaveman';
const points = [[10, 20], [30, 12.5], ...];
const polygon = concaveman(points);
```
Signature: `concaveman(points[, concavity = 2, lengthThreshold = 0])`
- `points` is an array of `[x, y]` points.
- `concavity` is a relative measure of concavity. `1` results in a relatively detailed shape, `Infinity` results in a convex hull.
You can use values lower than `1`, but they can produce pretty crazy shapes.
- `lengthThreshold`: when a segment length is under this threshold, it stops being considered for further detalization.
Higher values result in simpler shapes.
### Algorithm
The algorithm is based on ideas from the paper [A New Concave Hull Algorithm and Concaveness Measure
for n-dimensional Datasets, 2012](https://jise.iis.sinica.edu.tw/JISESearch/fullText?pId=245&code=5A9B97538372AA1)
by Jin-Seo Park and Se-Jong Oh.
This implementation dramatically improves performance over the one stated in the paper
(`O(rn)`, where `r` is a number of output points, to `O(n log n)`)
by introducing a fast _k nearest points to a segment_ algorithm,
a modification of a depth-first kNN R-tree search using a priority queue.
### TypeScript
[TypeScript type definitions](https://github.com/DefinitelyTyped/DefinitelyTyped/tree/master/types/concaveman)
are available through `npm install --save @types/concaveman`.
### Dependencies
- [rbush](https://github.com/mourner/rbush) for point indexing
- [tinyqueue](https://github.com/mourner/tinyqueue) as a priority queue
- [point-in-polygon](https://github.com/substack/point-in-polygon) for point in polygon queries
- [robust-predicates](https://github.com/mourner/robust-predicates) for 3-point orientation tests
### C++ Port
In 2019, a [C++ port](https://github.com/sadaszewski/concaveman-cpp) has been created, allowing for efficient usage from C/C++, Python (via cffi) and other languages featuring an FFI and/or plug-in mechanism for C (e.g. a MATLAB MEX file should be easy to prepare).