# LNLib

**Repository Path**: jiushiyang/LNLib

## Basic Information

- **Project Name**: LNLib
- **Description**: BIMCoderLiang 写的C++ Nurbs开源库， 按照The NURBS Book逐个算法进行实现。 源： https://github.com/BIMCoderLiang/LNLib
- **Primary Language**: C++
- **License**: GPL-3.0
- **Default Branch**: main
- **Homepage**: None
- **GVP Project**: No

## Statistics

- **Stars**: 0
- **Forks**: 3
- **Created**: 2025-07-31
- **Last Updated**: 2025-07-31

## Categories & Tags

**Categories**: Uncategorized

**Tags**: None

## README

## Introduction
**LNLib is a C++ NURBS Algorithms Library.** <br/>These algorithms are primary referenced from [The NURBS Book 2nd Edition](https://link.springer.com/book/10.1007/978-3-642-97385-7). <br/>The APIs are re-designed to make it more friendly to users.

<img src="image/LNLib.png" width=400 height=200>

## Run LNLib
Please run build.bat first to construct C++ solution by CMake.

## Features
Basic Elements:
- UV
- XYZ
- XYZW
- Matrix4d
- LNObject

Algorithms in ***The Nurbs Book***:
|Chapter|Content|
|--|--|
|***Chapter 1***  | Basis Function Computation |
|***Chapter 1 to 4***  | Bezier/B-Spline/NURBS Curve and Surface |
|***Chapter 5***  | Curve and Surface Decomposition</br>Knot Insertion/Refinement/Removal</br>Degree Elevation and Reduction |
|***Chapter 6***  | Curve/Surface Point Inversion</br>Surface Tangent Vector Inversion</br>Curve/Surface Reparameterization</br>Curve Transform and Reverse</br> Surface Swap and Reverse|
|***Chapter 7***  | Create Arc/Conic Curve |
|***Chapter 8***  | Create Bilinear/Cylindrical/Ruled/Revolved/CornerFillet Surface |
|***Chapter 9***  | Global/Local Curve/Surface Interpolation and Approximation |
|***Chapter 10***  | Create Swung/Loft/Sweep/Gordon/Coons Surface |
|***Chapter 11***  | Curve Modification in Control Point Locations or Weight Values |
|***Chapter 12***  | Curve Clamp/UnClamp/IsClamp </br> KnotVector IsUniform </br> Curve IsClosed/IsPeriodic|

Additional Algorithms:
|Description|Content|
|--|--|  
|***Basic Properties***  | Curve/Surface Curvature and Normal</br>Curve Split/Segment/Merge/Offset</br>Curve IsLinear/IsArc</br>Curve Approximate Length</br>Surface Approximate Area |
|***Curve Creation***  | Create Line/Cubic Hermite |
|***Tessellation***  | Curve Tessellation </br> Surface Triangulation|

## Visualization
[LNLibViewer](https://github.com/BIMCoderLiang/LNLibViewer) based on [VTK](https://vtk.org/)

<img src="image/curve.png" width=400 height=400><img src="image/surface.png" width=400 height=400>

## Contributing
Welcome join this project including discussions in **Issues** and make **Pull requests**.

## Author
LNLib is created by Yuqing Liang (BIMCoder Liang).

- bim.frankliang@foxmail.com
- 微信公众号：**BIMCoder**

## License
The source code is published under [GNU General Public License v3.0](https://www.gnu.org/licenses/), the license is available [here](LICENSE).

## Primary Reference
[The NURBS Book 2nd Edition](https://link.springer.com/book/10.1007/978-3-642-97385-7) by **Les Piegl & Wayne Tiller**