Sample codes
Mathematica code for computing the CMEF of a 2D polynomial Bézier curve
Mathematica code for computing the CMEF of a 2D polynomial Bézier curve
https://notebookarchive.org/2024-06-1xe104l
The upper left figure is a cubic Bezier curve. The upper right is the curvature plot. The lower left is the CMEF, whereas the lower right is the dk/ds.
Mathematica code for computing alpha (the slope of logarithmic curvature graph)
Mathematica code for computing alpha (the slope of logarithmic curvature graph)
https://notebookarchive.org/2024-06-1ucl8i6
The left figure shows how alpha (the slope of LCG) of a hyperbolic spiral varies with respect to the parameter t.