Timeline for How can one smoothly close a non closed curve?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Sep 4, 2018 at 3:54 | comment | added | David Roberts♦ | @KevinCasto the answer definitely is yes for $C^\infty$ continuations, the relevant restriction mapping between (Fréchet) function spaces is a split surjection. | |
| Sep 4, 2018 at 1:12 | comment | added | Joseph O'Rourke | @KevinCasto: Yes, you are correct. It may be that the OP was using the word "smooth" in a non-technical sense. Second-derivative continuity is called "geometric continuity" $G^2$ in computer graphics, where that degree of smoothness usually visually suffices. | |
| Sep 4, 2018 at 1:03 | comment | added | Kevin Casto | This depends on your notion of "smooth", of course. This method will give you a curve that's $C^2$ but not in general $C^3$. I'm sure the answer is yes even for $C^\infty$ (which to me is the usual meaning of "smooth"), but it's a bit more involved -- I can go into detail if you like. | |
| Sep 4, 2018 at 0:55 | history | edited | Joseph O'Rourke | CC BY-SA 4.0 |
added 78 characters in body
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| Sep 4, 2018 at 0:35 | vote | accept | Matheus Andrade | ||
| Sep 4, 2018 at 0:06 | history | answered | Joseph O'Rourke | CC BY-SA 4.0 |