Piecing together Hermite Curves
It's easy to make a multi-segment Hermite spline
- each piece is specified by a cubic Hermite curve
- just specify the position and tangent at each “joint”
- the pieces fit together with matched positions and first derivatives
- gives C1 continuity
Given a list of points & tangents, you can build a piecewise cubic that passes through all the points by calculating the Hermite cubic for each segment
The points that the curve has to pass through are called knots or knot points