Principle of Computer Graphics - lecture notes3

Splines and Interpolation

Linear spline = draw lines from point to point
polynomial interpolation =

lagrange polynomial interpolation =
you can find a curve f(t) = summation from 1 to n (ait^i)
n control points => nth order derivative exists => smooth curve

Hermite Interpolation
given 2 control points,
V(0), V(1) and find V'(0) V'(1)

Catmull-Rom Spline
Cardinal Spline
Bezier Spline
Cubic B-spline