NURBS Toolbox MATLAB Edition

The MATLAB version of the NURBS (Non-Uniform Rational B-Spline) toolbox provides robust curve drawing and editing capabilities for engineering applications and mathematical modeling. This comprehensive toolbox contains most commonly used NURBS operations, efficiently handling complex curve generation, modification, and analysis tasks through specialized functions like nrbmak() for curve creation and nrbderiv() for derivative calculations.

In engineering fields, NURBS is widely employed in CAD/CAM systems, computer graphics, and industrial design due to its flexibility and precision. Implemented within MATLAB, this toolbox leverages MATLAB's computational power and graphical interface advantages, enabling users to easily perform operations such as curve fitting using nrbfit(), interpolation via nrbinterp(), and deformation through manipulation of control points and weights. The implementation includes algorithms for knot vector refinement and degree elevation to enhance curve flexibility.

The toolbox has undergone rigorous debugging to ensure computational stability and accuracy, accompanied by example programs that demonstrate basic operations through practical code snippets. These examples illustrate key workflows like creating NURBS curves from control points, modifying knot sequences, and evaluating curve properties. Both researchers and engineering professionals can utilize this toolbox to efficiently complete NURBS-related tasks while reducing the complexity of low-level development, with functions supporting both 2D and 3D curve manipulations through consistent API design.