B-Spline Surface Generation with MATLAB Implementation

This B-spline surface generation program is developed in MATLAB 2008a environment, utilizing core B-spline algorithms for computational geometry. The implementation allows users to manipulate surface shapes by adjusting knot vectors and control points through programmable parameters. B-spline surfaces represent a fundamental mathematical method widely applied in computer graphics and CAD software, employing interpolation between control points to create smooth, continuous surfaces. The program incorporates key functions for B-spline basis computation and surface evaluation, providing an intuitive interface that enables users to explore and modify surface geometries without requiring deep mathematical knowledge of B-spline theory. The code structure includes modules for knot vector validation, control point matrix handling, and surface parameterization calculations, ensuring robust mathematical foundation while maintaining user accessibility.