Curve Curvature Computation with MATLAB Implementation

This MATLAB implementation calculates curve curvature using user-provided data. The algorithm requires coordinate data organized in a specific structure: the MAT file must contain coordinates of points along the curve, plus matrices defining left and right adjacent points for each segment. Key implementation details: - Data Loading: Use MATLAB's load() function to import MAT files containing coordinate matrices - Coordinate Processing: The algorithm employs vector differentiation to compute tangent vectors - Curvature Calculation: Implements the mathematical formula κ = |dT/ds| where T is the unit tangent vector and s is arc length - Segment Handling: Processes adjacent points using matrix operations to ensure smooth curvature transitions To modify the input data, simply replace the MAT file while maintaining the required data structure. Carefully examine the included documentation to understand the original data organization, which follows a [N×2] matrix format for point coordinates and [N×2] matrices for left/right adjacent points. This implementation represents an optimized approach developed through extensive research, making it particularly valuable for beginners studying computational geometry and curve analysis algorithms.