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Schmidt","url":"https://thi.ng"},"license":"Apache-2.0","homepage":"https://thi.ng/poisson","keywords":["2d","3d","density","grid","nd","noise","points","poisson","random","sample","scatter","stratified","typescript"],"repository":{"type":"git","url":"git+https://codeberg.org/thi.ng/umbrella.git","directory":"packages/poisson"},"description":"nD Stratified grid and Poisson-disc sampling w/ support for spatial density functions and custom PRNGs","maintainers":[{"name":"thi.ng","email":"k+npm@thi.ng"}],"readme":"<!-- This file is generated - DO NOT EDIT! -->\n<!-- Please see: https://codeberg.org/thi.ng/umbrella/src/branch/develop/CONTRIBUTING.md#changes-to-readme-files -->\n# ![@thi.ng/poisson](https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/banners/thing-poisson.svg?e82bcffe)\n\n[![npm version](https://img.shields.io/npm/v/@thi.ng/poisson.svg)](https://www.npmjs.com/package/@thi.ng/poisson)\n![npm downloads](https://img.shields.io/npm/dm/@thi.ng/poisson.svg)\n[![Mastodon Follow](https://img.shields.io/mastodon/follow/109331703950160316?domain=https%3A%2F%2Fmastodon.thi.ng&style=social)](https://mastodon.thi.ng/@toxi)\n\n> [!NOTE]\n\n> This is one of 217 standalone projects. LLM-free, human-made and\n> cared for software, maintained as part of the\n> [@thi.ng/umbrella](https://codeberg.org/thi.ng/umbrella/) ecosystem and\n> anti-framework.\n>\n> 🚀 Please help me to work full-time on these projects by [sponsoring\n> me](https://codeberg.org/thi.ng/umbrella/src/branch/develop/CONTRIBUTING.md#donations).\n> Thank you! ❤️\n\n- [About](#about)\n- [Status](#status)\n- [Related packages](#related-packages)\n- [Installation](#installation)\n- [Dependencies](#dependencies)\n- [Usage examples](#usage-examples)\n- [API](#api)\n  - [Poisson disc sampling](#poisson-disc-sampling)\n  - [Stratified grid sampling](#stratified-grid-sampling)\n- [Authors](#authors)\n- [License](#license)\n\n## About\n\n![example screenshot](https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/geom/geom-voronoi.jpg)\n\nnD Stratified grid and [Poisson disc\nsampling](https://en.wikipedia.org/wiki/Supersampling#Poisson_disc) with\nsupport for variable spatial density, custom PRNGs (via\n[@thi.ng/random](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/random)'s\n`IRandom` interface & implementations) and customizable quality\nsettings.\n\nThe Poisson disc sampler requires a spatial index and we recommend using\n`KdTreeSet` from the\n[@thi.ng/geom-accel](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/geom-accel)\npackage to speed up the sampling process, but other\n[`ISpatialSet`-compatible](https://docs.thi.ng/umbrella/geom-api/interfaces/ISpatialSet.html)\nindices are supported as well...\n\n## Status\n\n**STABLE** - used in production\n\n[Search or submit any issues for this package](https://codeberg.org/thi.ng/umbrella/issues?q=%5Bpoisson%5D)\n\n## Related packages\n\n- [@thi.ng/geom](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/geom) - Functional, polymorphic API for 2D geometry types & SVG generation\n- [@thi.ng/geom-voronoi](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/geom-voronoi) - Fast, incremental 2D Delaunay & Voronoi mesh implementation\n- [@thi.ng/lowdisc](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/lowdisc) - n-dimensional low-discrepancy sequence generators/iterators\n- [@thi.ng/random](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/random) - Pseudo-random number generators w/ unified API, distributions, weighted choices, ID generation\n\n## Installation\n\n```bash\nyarn add @thi.ng/poisson\n```\n\nESM import:\n\n```ts\nimport * as poi from \"@thi.ng/poisson\";\n```\n\nBrowser ESM import:\n\n```html\n<script type=\"module\" src=\"https://esm.run/@thi.ng/poisson\"></script>\n```\n\n[JSDelivr documentation](https://www.jsdelivr.com/)\n\nFor Node.js REPL:\n\n```js\nconst poi = await import(\"@thi.ng/poisson\");\n```\n\nPackage sizes (brotli'd, pre-treeshake): ESM: 747 bytes\n\n## Dependencies\n\n- [@thi.ng/api](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/api)\n- [@thi.ng/checks](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/checks)\n- [@thi.ng/geom-accel](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/geom-accel)\n- [@thi.ng/random](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/random)\n- [@thi.ng/vectors](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/vectors)\n\nNote: @thi.ng/api is in _most_ cases a type-only import (not used at runtime)\n\n## Usage examples\n\nSix projects in this repo's\n[/examples](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples)\ndirectory are using this package:\n\n| Screenshot                                                                                                               | Description                                                                      | Live demo                                               | Source                                                                                       |\n|:-------------------------------------------------------------------------------------------------------------------------|:---------------------------------------------------------------------------------|:--------------------------------------------------------|:---------------------------------------------------------------------------------------------|\n| <img src=\"https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/examples/geom-complex-poly.png\" width=\"240\"/> | Shape conversions & operations using polygons with holes                         | [Demo](https://demo.thi.ng/umbrella/geom-complex-poly/) | [Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples/geom-complex-poly) |\n| <img src=\"https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/examples/geom-knn-hash.jpg\" width=\"240\"/>     | K-nearest neighbor search in an hash grid                                        | [Demo](https://demo.thi.ng/umbrella/geom-knn-hash/)     | [Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples/geom-knn-hash)     |\n| <img src=\"https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/examples/geom-voronoi-mst.jpg\" width=\"240\"/>  | Poisson-disk shape-aware sampling, Voronoi & Minimum Spanning Tree visualization | [Demo](https://demo.thi.ng/umbrella/geom-voronoi-mst/)  | [Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples/geom-voronoi-mst)  |\n| <img src=\"https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/poisson/poisson.jpg\" width=\"240\"/>            | 2D Poisson-disc sampler with procedural gradient map                             | [Demo](https://demo.thi.ng/umbrella/poisson-circles/)   | [Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples/poisson-circles)   |\n| <img src=\"https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/examples/poisson-image.avif\" width=\"240\"/>    | Image-based Poisson-disk sampling                                                | [Demo](https://demo.thi.ng/umbrella/poisson-image/)     | [Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples/poisson-image)     |\n| <img src=\"https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/poisson/stratified-grid.png\" width=\"240\"/>    | 2D Stratified grid sampling example                                              | [Demo](https://demo.thi.ng/umbrella/stratified-grid/)   | [Source](https://codeberg.org/thi.ng/umbrella/src/branch/develop/examples/stratified-grid)   |\n\n## API\n\n[Generated API docs](https://docs.thi.ng/umbrella/poisson/)\n\n### Poisson disc sampling\n\nThe package provides a single function `samplePoisson()` and the\nfollowing options to customize the sampling process:\n\n- **points**: Point generator function. Responsible for producing a new\n  candidate point within user defined bounds using provided RNG.\n- **density**: Density field function. Called for each new candidate\n  point created by point generator and should return the poisson disc\n  exclusion radius for the given point location. The related candidate\n  point can only be placed if no other points are already existing\n  within the given radius/distance. If this option is given as number,\n  uses this value to create a uniform distance field.\n- **index**: Spatial indexing implementation for nearest neighbor\n  searches of candidate points. Currently only\n  [@thi.ng/geom-accel](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/geom-accel)\n  types are supported. The data structure is used to store all\n  successful sample points. Furthermore, pre-seeding the data structure\n  allows already indexed points to participate in the sampling process\n  and so can be used to define exclusion zones. It also can be used as\n  mechanism for progressive sampling, i.e. generating a large number of\n  samples and distributing the process over multiple invocations of\n  smaller sample sizes (see `max` option) to avoid long delays.\n- **max**:  Max number of samples to produce. Must be given, no default.\n- **jitter?**: Step distance for the random walk each failed\n  candidate point is undergoing. This distance should be adjusted\n  depending on overall sampling area/bounds. Default: 1\n- **iter?**: Number of random walk steps performed before giving up on a\n  candidate point. Increasing this value improves overall quality.\n  Default: 1\n- **quality?**: Number of allowed failed consecutive candidate points\n  before stopping entire sampling process (most likely due to not being\n  able to place any further points). As with the `iter` param,\n  increasing this value improves overall quality, especially in dense\n  regions with small radii. Default: 500\n- **rnd?**: Random number generator instance. Default:\n  [@thi.ng/random](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/random)\n  `SYSTEM` (aka Math.random)\n\n![example output](https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/poisson/poisson.jpg)\n\n```ts\nimport { asSvg, circle, svgDoc } from \"@thi.ng/geom\";\nimport { KdTreeSet } from \"@thi.ng/geom-accel\";\nimport { fit01 } from \"@thi.ng/math\";\nimport { samplePoisson } from \"@thi.ng/poisson\";\nimport { dist, randMinMax2 } from \"@thi.ng/vectors\";\n\nconst index = new KdTreeSet(2);\n\nconst pts = samplePoisson({\n    index,\n    points: () => randMinMax2(null, [0, 0], [500, 500]),\n    density: (p) => fit01(Math.pow(dist(p, [250, 250]) / 250, 2), 2, 10),\n    iter: 5,\n    max: 8000,\n    quality: 500,\n});\n\n// use thi.ng/geom to visualize results\n// each circle's radius is set to distance to its nearest neighbor\nconst circles = pts.map((p) =>\n    circle(p, dist(p, index.queryKeys(p, 40, 2)[1]) / 2)\n);\n\ndocument.body.innerHTML = asSvg(\n    svgDoc({ fill: \"none\", stroke: \"blue\" }, ...circles)\n);\n```\n\n### Stratified grid sampling\n\nThe `stratifiedGrid` function can produce 2D or 3D grid samples based on the\nfollowing config options:\n\n- **dim**: 2D/3D vector defining grid size (in cells)\n- **scale**: Scale factor/vector applied to all generated points. If omitted,\n  the points will be in grid coordinates.\n- **separation?**: Enforced minimum distance between samples (in [0 .. 0.99]\n  range, default: `1/sqrt(2)`)\n- **rnd?**: Random number generator instance. Default:\n  [@thi.ng/random](https://codeberg.org/thi.ng/umbrella/src/branch/develop/packages/random)\n  `SYSTEM` (aka Math.random)\n\n![example output](https://codeberg.org/thi.ng/umbrella/media/branch/develop/assets/poisson/stratified-grid.png)\n\n```ts\nimport { asSvg, group, line, points, svgDoc } from \"@thi.ng/geom\";\nimport { stratifiedGrid2 } from \"@thi.ng/poisson\";\nimport { map, range } from \"@thi.ng/transducers\";\n\nconst W = 50;\n\ndocument.body.innerHTML = asSvg(\n    svgDoc(\n        {\n            width: 600,\n            height: 600,\n            fill: \"blue\",\n            stroke: \"none\",\n        },\n        // grid lines\n        group({ stroke: \"#fcc\", weight: 0.1 }, [\n            ...map((x) => line([x, 0], [x, W]), range(1, W)),\n            ...map((y) => line([0, y], [W, y]), range(1, W)),\n        ]),\n        // grid samples as point cloud\n        points(\n            [...stratifiedGrid2({ dim: [W, W], separation: 0.5 })],\n            { shape: \"circle\", size: 0.25 }\n        )\n    )\n);\n```\n\n## Authors\n\n- [Karsten Schmidt](https://thi.ng)\n\nIf this project contributes to an academic publication, please cite it as:\n\n```bibtex\n@misc{thing-poisson,\n  title = \"@thi.ng/poisson\",\n  author = \"Karsten Schmidt\",\n  note = \"https://thi.ng/poisson\",\n  year = 2016\n}\n```\n\n## License\n\n&copy; 2016 - 2026 Karsten Schmidt // Apache License 2.0\n","readmeFilename":"README.md"}