GUI-Based B-Spline Curve Plotting in MATLAB

This documentation provides a comprehensive guide to implementing B-Spline curve plotting using MATLAB's graphical user interface (GUI). The system utilizes MATLAB's uicontrol components and callback functions to create an interactive environment where users can visually manipulate control points through mouse-driven events. The implementation follows standard B-Spline algorithms including de Boor's recursive formula for curve computation, with matrix operations handling basis function calculations. Alongside the functional GUI, we include detailed technical documentation covering the mathematical foundations, coordinate transformation methods between screen space and parameter space, and real-time curve regeneration mechanisms. Through this interface, users can dynamically adjust control point positions via drag-and-drop interactions, triggering automatic NURBS curve recalculation through event handlers that update the plotted curve using MATLAB's graphics object properties. The system accommodates both novice and experienced users by providing layered implementation details - from basic spline theory to advanced customization of knot vectors and degree parameters through programmable interface elements.