G2 Hermite Interpolation by Segmented Spirals

A curve with single-signed, monotonically increasing or decreasing curvatures is referred to as a planar spiral. G2 Hermite data are spiral for which only interpolation by possible. In this study, we design segmented spirals geometrically interpolate arbitrary C-shaped data. To separate the into two three sets, add one new points, related tangent vectors and curvatures. We provide different approaches in accordance various locations of external homothetic centers end-curvature circles. then match constructing spirals. generate at most piecewise Furthermore, illustrate suggested techniques several examples.