Three typical basics from > 50 of that stuff ... bed time reading.
1. Lagrange in two applications, including the modeler.
2. Hermite Interpolation ... like smooth path car racing !
3. Polyline suggests convex hull robotics.

Jean ... kind of refreshed/revisit

Spline Hermite Polyline [Sub_Spaces].sm (44 KiB) downloaded 153 time(s).
Spline Hermite Interpolation EXPLAIN.sm (56 KiB) downloaded 175 time(s).
Spline Hermite Interpolation.sm (77 KiB) downloaded 167 time(s).
Spline0 Quadratic Lagrange Knots Copy.sm (106 KiB) downloaded 177 time(s).