Introduction

LNLib is a C++ NURBS Algorithms Library.
These algorithms are primary referenced from The NURBS Book 2nd Edition.
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 Tessellation

Visualization

LNLibViewer based on VTK

Contributing

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

Author

LNLib is created by Yuqing Liang (BIMCoder Liang).

• [email protected]
• 微信公众号：BIMCoder梁老师

License

The source code is published under GNU General Public License v3.0, the license is available here.

Primary Reference

The NURBS Book 2nd Edition by Les Piegl & Wayne Tiller