https://github.com/hobezwe/nurbs.jl

This package provides functionality to define and evaluate B-spline and NURBS (non-uniform rational B-spline) basis functions, their derivatives, as well as curves and surfaces based on both considered basis functions.
https://github.com/hobezwe/nurbs.jl

b-spline curves derivatives jacobians julia nurbs surfaces

Last synced: 5 days ago
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This package provides functionality to define and evaluate B-spline and NURBS (non-uniform rational B-spline) basis functions, their derivatives, as well as curves and surfaces based on both considered basis functions.

• Host: GitHub
• URL: https://github.com/hobezwe/nurbs.jl
• Owner: HoBeZwe
• License: mit
• Created: 2022-12-19T13:18:18.000Z (over 2 years ago)
• Default Branch: main
• Last Pushed: 2024-11-03T23:57:34.000Z (8 months ago)
• Last Synced: 2025-07-10T19:14:58.714Z (5 days ago)
• Topics: b-spline, curves, derivatives, jacobians, julia, nurbs, surfaces
• Language: Julia
• Homepage:
• Size: 11.6 MB
• Stars: 16
• Watchers: 2
• Forks: 1
• Open Issues: 3
• Metadata Files:
  • Readme: README.md
  • License: LICENSE
  • Citation: CITATION.cff

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[![Docs-stable](https://img.shields.io/badge/docs-stable-blue.svg)](https://hobezwe.github.io/NURBS.jl/stable/)

[![Docs-dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://hobezwe.github.io/NURBS.jl/dev/)

[![MIT license](https://img.shields.io/badge/License-MIT-blue.svg)](https://github.com/hobezwe/NURBS.jl/blob/main/LICENSE)

[![Build Status](https://github.com/hobezwe/NURBS.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/hobezwe/NURBS.jl/actions/workflows/CI.yml?query=branch%3Amain)

[![codecov](https://codecov.io/gh/HoBeZwe/NURBS.jl/branch/main/graph/badge.svg?token=4F9NUNRC1K)](https://codecov.io/gh/HoBeZwe/NURBS.jl)

[![DOI](https://zenodo.org/badge/579998043.svg)](https://zenodo.org/badge/latestdoi/579998043)

## Introduction

This package provides functionality to define and evaluate B-spline, Curry-Schoenberg, and NURBS (non-uniform rational B-spline) basis functions, their derivatives, as well as curves and surfaces based on B-spline and NURBS basis functions.

The following aspects are implemented (✓) and planned (⌛):

##### B-spline, Curry-Schoenberg & NURBS evaluation

- ✓ Basis & derivatives

- ✓ Curves & derivatives

- ✓ Surfaces & derivatives

##### Fundamental operations

- ✓ File I/O (.step)

- ✓ Knot manipulation

    - knot insertion / refinement

    - knot removal

    - splitting of curves and surfaces

- ✓ Transformation of curves and surfaces

    - scaling

    - translating

    - rotating

    - mirroring

- ⌛ Degree elevation / reduction

- ⌛ Construction of common geometries

##### Connectivity

- ✓ Determine patch connectivity

    - identify interfaces between patches

    - introduce per patch local numbering for vertices and edges

- ✓ Virtual Bezier mesh connectivty (for FEM)

    - introduce on each patch a virtual Bezier mesh

    - determine adjacency information of mesh cells

## Citation

Please cite this package following the information on [Zenodo](https://zenodo.org/badge/latestdoi/579998043).

## Documentation

- Documentation for the [latest stable version](https://hobezwe.github.io/NURBS.jl/stable/).

- Documentation for the [development version](https://hobezwe.github.io/NURBS.jl/dev/).