Timeline for Natural neighbor interpolation
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Apr 21, 2020 at 19:16 | answer | added | Alex | timeline score: 1 | |
| Oct 28, 2015 at 16:59 | comment | added | user35593 | In Properties of Local Coordinates Based on Dirichlet Tessellations by B. Piper here: link.springer.com/chapter/10.1007/978-3-7091-6916-2_15 the derivative of the weights $\omega_i$ are computed. Hence $P^*$ is Lipschitz continuous. Probably you can find a $C$ which dependent on $(x_i)_{i=1}^N$ but is independent of the values $(P(x_i))_{i=1}^N$. Also $P^*$ is exact for linear functions. | |
| Oct 28, 2015 at 5:48 | comment | added | Gabriel | @user35593 or to be simple, is $P^*$ Lipschitz continous? | |
| Oct 28, 2015 at 5:40 | comment | added | Gabriel | @user35593 what if the constant $C$ can rely on the given points $\{x_i,P(x_i)\}_{i=1}^N$ | |
| Oct 25, 2015 at 9:00 | comment | added | user35593 | You need some additional assumptions on the distribution of your points. If for example $x_1=(-1,0), x_2=(0,\epsilon), x_3=(1,0), P(x_1)=0, P(x_2)=1, P(x_3)=0$ then $L\leq 1$ however the Lipschitz constant of the whole domain is $\epsilon^{-1}$. | |
| Oct 24, 2015 at 0:47 | history | edited | Gabriel |
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| Oct 23, 2015 at 1:35 | review | First posts | |||
| Oct 23, 2015 at 2:16 | |||||
| Oct 23, 2015 at 1:30 | history | asked | Gabriel | CC BY-SA 3.0 |