NURBS Surface Generation with MATLAB Implementation

This is a NURBS surface generation program developed in the MATLAB-2008a environment. NURBS (Non-Uniform Rational B-Spline) represents a mathematical modeling technique for creating smooth curves and surfaces. The program implements core NURBS algorithms through basis function calculations and weighted control point interpolation, allowing users to manipulate control vertices and adjust individual vertex weights to modify surface shapes dynamically. The implementation includes knot vector parameterization and de Boor's algorithm for surface evaluation. Users can further control surface complexity by modifying the quantity and positioning of control points through the program's interactive interface. The system provides multiple predefined surface types including spheres, cylinders, and conical surfaces, with configurable parametric equations for each geometry. Additionally, the program features comprehensive export capabilities supporting various file formats (such as IGES and STEP) for downstream processing in other CAD/CAE software. The codebase utilizes MATLAB's graphical handling functions for real-time surface visualization and incorporates error checking for knot vector validity and weight parameter normalization. Overall, this program serves as a practical tool for generating complex surfaces through mathematically robust NURBS implementation with customizable parameters.