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$$\epsilon \kappa $$-Curves: controlled local curvature extrema
The Visual Computer
AbstractThe $$\kappa $$ κ -curve is a recently published interpolating spline which consists of quadratic Bézier segments passing through input points at the loci of local curvature extrema. We extend this representation to control the magnitudes of local maximum curvature in a new scheme called extended- or $$\epsilon \kappa $$ ϵ κ -curves.$$\kappa $$ κ -curves have been implemented as the curvature tool in Adobe Illustrator® and Photoshop® and are highly valued by professional designers.doi:10.1007/s00371-021-02149-8 fatcat:52vveekjpfbrnep7i46x4u725m