Smooth rational curves

✍ Scribed by W. Boehm

• Publisher: Elsevier Science
• Year: 1990
• Tongue: English
• Weight: 77 KB
• Volume: 22
• Category: Article
• ISSN: 0010-4485
• DOI: 10.1016/0010-4485(90)90032-8

✦ Synopsis

In my letter to the Editor 1 of July 1988, I discussed one of the results I had presented one month before at Jerusalem: The geometric meaning of the two kinds of geometric continuity of segmented curves. In the case of a contact of order n (i.e. Barsky's geometric continuity) the involved geometric invariants are continuous of highest possible order while in the case of Frenet frame continuity they are C o only. That makes the difference.

When writing that letter, I made an addition on the projective invariance of both kinds of geometric continuity. This addition was influenced by some discussions in July at Oslo, where I could not get any positive answer to my question on the projective invariance of geometric continuity. Also in Vienna some weeks later Barsky gave a more negative than a positive answer. Now this summer, I was pleased to learn at Tenerife