References

Most of this week's material are from classical differential geometry, except the concept of geometric continuity. Barsky and DeRose's papers are highly recommended for the concept of geometric continuity. If you need a good companion of classic differential geometry, you ming consider Struik's. Farin's book also contains chapters on classical differential geometry, written by W. Boehm. Finally, Casey's book has some very interesting discussions and experiments about curvature.