https://github.com/lancelet/capstan

NURBS curves and surfaces in Rust (EARLY WIP!)
https://github.com/lancelet/capstan

Last synced: 9 months ago
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NURBS curves and surfaces in Rust (EARLY WIP!)

• Host: GitHub
• URL: https://github.com/lancelet/capstan
• Owner: lancelet
• License: mit
• Created: 2020-10-04T04:32:05.000Z (about 5 years ago)
• Default Branch: main
• Last Pushed: 2023-02-23T19:08:22.000Z (almost 3 years ago)
• Last Synced: 2025-03-24T12:04:40.013Z (9 months ago)
• Language: Rust
• Size: 38.1 KB
• Stars: 22
• Watchers: 4
• Forks: 5
• Open Issues: 3
• Metadata Files:
  • Readme: README.md
  • Changelog: CHANGELOG.md
  • License: LICENSE

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README

          
# Capstan

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NURBS utilities in Rust.

## NURBS Curve Evaluation

Currently, only NURBS curve evaluation is complete. The evaluation uses a

naive version of the de Boor algorithm. With this, it's possible to evaluate

the 3D coordinates of a NURBS curve at any parameter value.

NURBS can represent conics with floating-point precision. This image shows a

tesselated NURBS circle on the left and an SVG circle on the right:



NURBS are a generalization of Bézier curves, so they can exactly represent any

order of Bézier curve. The image below shows an SVG cubic Bézier with a loop on

the right and a tesselated NURBS representation on the left:



NURBS can represent multiple Bézier curve segments in a single curve. The

example below shows an outline of the Egyptian "reed leaf" hieroglyph

(Gardiner sign M17). This curve is constructed from 2 line segments and 4

cubic Bézier curves, all of which can be represented as a single closed

NURBS curve:



## NURBS Curve Representation

The library uses the "Rhino" form of NURBS curves, where there are two fewer

knots than in "traditional" NURBS.