# LNLib

**Repository Path**: algorithmlibs/LNLib

## Basic Information

- **Project Name**: LNLib
- **Description**: 非均匀有理B样条 第2版
- **Primary Language**: Unknown
- **License**: GPL-3.0
- **Default Branch**: main
- **Homepage**: None
- **GVP Project**: No

## Statistics

- **Stars**: 0
- **Forks**: 0
- **Created**: 2024-05-13
- **Last Updated**: 2024-09-25

## Categories & Tags

**Categories**: Uncategorized

**Tags**: 算法, 几何算法

## 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.

## Run LNLib
Please run build.bat first and it will construct solution by CMake.

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

Algorithms in ***The Nurbs Book***:
- ***Chapter 1***:
    - Basis Function Computation
- ***Chapter 1,2,3,4***:
    - Bezier/B-Spline/NURBS Curve and Surface
- ***Chapter 5***:
    - Curve and Surface Decomposition
    - Knot Insertion/Refinement/Removal
    - Degree Elevation and Reduction
- ***Chapter 6***:
    - Curve/Surface Point Inversion
    - Surface Tangent Vector Inversion
    - Curve/Surface Reparameterization
    - Curve Transform and Reverse
    - 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
    - KnotVector IsUniform
    - Curve IsClosed/IsPeriodic

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

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

## 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梁老师**

## 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**