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 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 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:

Description	Content
Basic Properties	Curve/Surface Curvature and Normal Curve Split/Segment/Merge/Offset Curve IsLinear/IsArc Curve Approximate Length Surface Approximate Area
Curve Creation	Create Line/Cubic Hermite
Tessellation	Curve Tessellation Surface Triangulation

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

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