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 (44.91 KiB) downloaded 826 time(s).
Spline Hermite Interpolation EXPLAIN.sm (56.73 KiB) downloaded 1002 time(s).
Spline Hermite Interpolation.sm (77.41 KiB) downloaded 1014 time(s).
Spline0 Quadratic Lagrange Knots Copy.sm (106.66 KiB) downloaded 1034 time(s).