NURBS Surface Modeling with MATLAB Tools

This documentation presents the utilization of MATLAB tools for NURBS surface modeling. Let us explore NURBS surfaces in greater detail. NURBS (Non-Uniform Rational B-Splines) constitute a mathematical representation method capable of describing both 2D and 3D geometric shapes. They represent curves or surfaces based on control points and associated weights. The terminology originates from their specific mathematical formulation as "Non-Uniform Rational Basis Splines." These surfaces find extensive applications in computer graphics and engineering domains, including automotive and aerospace design, as well as medical imaging for anatomical structure representation. Through MATLAB implementation, developers can efficiently create and modify these surfaces using key functions like nrbmak() for surface generation and nrbkntins() for knot insertion. The algorithm involves calculating basis functions through recursive Cox-de Boor formulas while managing non-uniform knot vectors and rational weights. This approach enables precise control over surface continuity and local refinement. We hope this enhanced technical explanation facilitates better understanding of MATLAB's capabilities for NURBS surface modeling workflows.