Bezier curves were covered in the Part IB
Computer Graphics and Image Processing course. SMEG section 2 gives some of the
mathematical details, as does R&A Section 5-8.
Exercises
Explain what C0-, C1-, C2-, Cn-continuity mean.
Derive the constraints on control point positions which ensure
that two quartic Bezier curves join with (a) C0-continuity, (b)
C1-continuity, and (c) C2-continuity.