Advanced Graphics Study Guide

Advanced Graphics, Dr Neil Dodgson, University of Cambridge Computer Laboratory
Part II course, 2000

Part 3: Splines
A: Bezier curves
B: B-splines
C: NURBS
...back to part 2 | on to part 4...

3A) Bezier curves

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
  1. Explain what C0-, C1-, C2-, Cn-continuity mean.
  2. 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.


Part 3: Splines
A: Bezier curves
B: B-splines
C: NURBS
...back to part 2 | on to part 4...

Neil Dodgson | Advanced Graphics | Computer Laboratory
Source file: p3a.html
Page last updated on Thu Sep 14 16:58:05 BST 2000
by Neil Dodgson (nad@cl.cam.ac.uk)