MATLAB Source Code for NURBS Curve Interpolation Trajectory Simulation

This is a MATLAB source code program designed for simulating interpolation trajectories of NURBS (Non-Uniform Rational B-Spline) curves. NURBS curves are widely used mathematical tools in CAD (Computer-Aided Design) and CAM (Computer-Aided Manufacturing) for precise modeling and simulation applications. The implementation features key algorithms including recursive De Boor's algorithm for curve evaluation, knot vector parameterization for non-uniform spacing control, and rational weight adjustments for shape manipulation. The code structure includes functions for basis function calculation, control point weighting, and interpolation point generation with adaptive step-size control. This MATLAB-based tool enables high flexibility in controlling curve shapes through adjustable control points, knot vectors, and weight parameters, allowing creation of complex geometrical forms. The simulation framework significantly enhances precision and efficiency in CAD/CAM workflows by providing real-time trajectory visualization and parameter optimization capabilities.