MATLAB Code Implementation for Image Processing and Curve Curvature Calculation

We can utilize MATLAB for processing graphical images and obtain more detailed analytical results by calculating curve curvature. Through mathematical modeling and analysis of curves, we can gain deep insights into their shape and characteristics. MATLAB provides comprehensive image processing tools and functions that simplify and optimize curvature computation. Key MATLAB functions like diff for derivative calculations and custom curvature formulas enable efficient computation of tangents and curvature at each point along the curve. The fundamental curvature calculation algorithm involves computing first and second derivatives using finite differences, then applying the curvature formula κ = |y''|/(1 + (y')²)^(3/2) for parametric curves. By determining tangents and curvature at each point, we can analyze the curve's rate of change and bending intensity. This approach is particularly valuable across various application domains including computer vision (for edge detection and shape analysis), medical image processing (vessel curvature analysis), and engineering design (path optimization and structural analysis). Therefore, employing MATLAB for image processing and curve curvature calculation provides comprehensive information and in-depth analysis capabilities through efficient code implementation.